Reasoning & Data Sufficiency

transcript

04/08/23 AFTERSCHOOOL centre for social entrepreneurship

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LOGICAL REASONING FOR CAT,MAT,GMAT, & OTHER

COMPETITIVE EXAMINATIONS

AFTERSCHO☺OL – DEVELOPING CHANGE MAKERS

CENTRE FOR SOCIAL ENTREPRENEURSHIP PGPSE PROGRAMME –

World’ Most Comprehensive programme in social entrepreneurship & spiritual entrepreneurship

OPEN FOR ALL FREE FOR ALL

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REASONING & DATA SUFFICIENCY

Dr. T.K. Jain.

AFTERSCHO☺OL

Centre for social entrepreneurship

Bikaner

M: 9414430763

tkjainbkn@yahoo.co.in

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The post office is to the east of my school while my house

is to the south of school. The market is to the north of the post office. if the distance of the market from the

post office is equal to the distance of post office from the school, then in which direction is the market with

respect to my school?

• North east (answer)

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Starting from a point, Raj walks 12 meters towards North. He turns right and walks 10 Meters, he again turned left and walked 5 meters. How far is he from the

starting point (direct distance)?

• He has gone (12+5) = 17 meters north and 10 meters East. He is : sqrt(17^2+10^2)

• 19.72 meters from starting point.

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A. All factories employ engineersB. TELCO employs engineers

C. TELCO is a factoryD. Some engineering

companies employ engineers.E. TELCO employs only

engineers.(1) ABC (2) ACB

(3) CDB (4) ‘None of these

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solution

• From ACB, you have logical sequence :

• All factories, employ engineer (we have to assume it to be true). Telco is a factory, thus 3rd statement is a logical outcome, because being a factory, Telco must also employ engineers.

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X SAYS TO Y: “I AM 3 TIMES AS OLD AS YOU WERE 2 YEARS

AGO.” HOW OLD IS X?1. Y’S AGE 17 YEARS FROM

NOW IS SAME AS X’S PRESENT AGE

2. X’S AGE NINE YEARS FROM NOW IS 3 TIMES ITS PRESENT

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SOLUTION…

• FROM 1ST STATEMENT : • 3 (Y – 2) = X OR : X – 3Y = -6• X – Y = 17• WE GET : -2Y = -23 OR Y = 11.5 AND X = 28.5 • FROM 2ND STATEMENT : • (X+9) = 3X & X – 3Y = -6• 2X = 9; X =4.5 AND 3Y = 10.5 • Y = 3.5 • THUS ANSWER CAN BE OBTAINED FROM

EITHER STATEMENT ALONE. ANSWER

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If m men working m hours a day for each of m days produce m units of

work ,then the unitof work produce by n men working

n hours a day for each of n days is?

• START WITH PRESENT PRODUCTION M• M * (N/M) FOR NUMBER OF WORKER * (N/M)

(FOR NUMBER OF DAYS)* (N/M) (FOR HOURS)

• = N^3 / M^2 ANSWER

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Six persons A, B, C, D, E and F are sifting in six chairs, arranged in two rows and three

columns, facing North, not necessarily in the same order. One person sit in each chair. B is to’ the left of C and is exactly ahead of D. A has neither D nor E adjacent to him in the

same coloumn, and in the same row. A is neither behind E nor F. which among the

tollowing is definitely false?(1) A is behind C.

(2) B, A and C are sitting in one row.(3) D, F and A are sifting in one row.

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solution

• 1 & 3rd

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A, B, C, D, E, F and G are seven places. The following places are connected by two way roads - A and B; B and C; A and D; E

and F; F and C; C and G; A and G; D andE. No other road, apart from those mentioned

above, exists. How many distinct routes exist from A to C (without visiting any place

more than once)? (1) 0 (2) 1 (3) 2(4) 3

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SOLUTION

• There are 3 routes as under :

• 1. A to B to C

• 2. A to G to C

• 3. A to D to E to F to C.

• Thus we have 3 distinct routes possible.

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Four different faces of a cube are painted in three different colours —

Red, Blue and Green. This is done in such a way that one pair of adjacent faces is painted Red, another pair of opposite faces is painted Blue and

Green. This cube is now cut into 125 smaller but identical cubes.

What is the number of the smaller cubes that have exactly two colours on

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solution

• Prepare a cube and solve it : you will find 18 smaller cubes with 2 colours on them

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If BURNER is coded as CASOIS how will you code ALIMENT

• EACH OF THESE HAS BEEN MOVED UP BY 1 DIGIT. B BY C. U BY A (MOVED IN VOWEL SERIES), R TO S, N TO O, E TO I (VOWEL SERIES) AND R TO S.

• SO : SOLUTION :

• EMONIOU

• (ANSWER).

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FIND THE ODD ONE OUT ?

• 41, 45, 47 , 29, 31

• ANSWER :

• ALL ARE PRIMARY NUMBERS EXCEPT 45, SO ODD ONE IS 45. ANSWER.

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Q1F, S2E, U6D, W21C,?(a) Y66B (6) Y44B(c) Y88B (d) Z8SB

• There is gap of one in Q,S,U,W, so next will be Y. 1 *1+1 = 2, 2*2+2 = 6, 6*3+3= 21, 21*4+4 = 88, so answer is option C.

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A pile of cubes of equal size is arranged as shown in the figure in

the next slide. Now the block is dipped into a bucket full of red paint

so that only the surfaces of the block get coloured. How many

cubes are there in the pile?

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Cube …

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solution

• 30 in last column, 25 in next, 20 in next, 15 in next, 10 in next.

• Total : 30+25+20+15+10 = 100 answer

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How many cubes are without any colour in the previous picture?

• 3 * 3 in 2nd column

• 3*2 in 3rd column

• 3*1 in 4th column

• Total = 9 + 6+3 = 18 answer

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How many cubes are coloured in two faces?

• 7 rows with 5 each horizontally

• 7*5 = 35

• 14 on each side vertically = 28

• = 63 answer

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Find the missing number?

4 9 25

49 ? 361

121 169 289

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Solution…

• These are squares of prime numbers. We have prime numbers like 2,3,5,7,11,13,17,19.

• Now one number is missing. It will also be a square of prime number, so the next prime number is 23. square of 23 is 529

• Answer = 529

• There is no relation between the numbers

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Out of 26 students in a class, 17 opted for Marketing 19 opted for Finance and 2 opted for Social

Entrepreneurship. Some students opted for both marketing and finance, what is the number?

• (26 – 2) = 24. add 19 + 17 = 36• 36 – 24 = 12 so 12 students opted for both Marketing & finance.

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Out of 106 students, each opted for at least one sector. 48 opted for

marketing, 51 opted for finance, 53 opted for HR. 16 study marketing and finance. 17 study marketing

and HR. 18 study finance and HR, how many study exactly 2

subjects?

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Solution….

• 106 – ( 48+51+53) + ( (17-x) + (18-x) + (16-x) ) + ( 2x)

• We have assumed X = the number of students who have opted for all the three options.

• Solving, we get X = 5. • Thus we have 11 students opting for marketing&

finance, 12 students opting for marketing & HR, 13 students opting for finance & HR. Thus there are total 36 students opting for 2 subjects. Answer.

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What will come next : 10, 105, 11, ?

• 10 * 10 + 5 = 105

• Similarly :

• 11 * 11 + 5 = 126

• Answer.

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What will come next ? 12, 72, 16 … ?

• Options:

• 112, 128, 144, 192

• 12 * 12 * ½ = 72

• 16 * 16 * ½ = 128

• Answer.

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What will come next : 9, 90 , 12…?

• Options:

• 108, 132, 144, 156

• Answer :

• 9 * 9 + 9 = 90

• 12 * 12 + 12 = 156

• Answer

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Which is different : a. 8, b. 27, c. 81, d. 64

• 81

• Rest are all cubes.

• Answer

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Which is different :55, 99, 121, 144?

• 144

• Rest are all divisible by 11.

• Answer.

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each of the following questions two rows of numbers are given. The resultant number in

each row is to bemarked out separately based on the

following rulesThe operations of numbers progress from

left to right.Rules:

(1) If an even number is followed by another even number they are to be added.

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Continued.. (ii) If an even number is followed by a prime

number, they are to be multiplied,(iii) If an odd number is followed by an even

number, the even number is to besubtracted from the odd number.

(iv) If an odd number is followed by anotherodd number, the first number is to be

added to the square of the second number.(v) If an even number is followed by a

composite odd number, the even numberis to be divided by the odd number.

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I. 65 11 12II. 15 3 11

What is the sum of the resultants of the two

rows?• I. : 65 followed by 11, so rule (iv) : 65 + 121 = 186.

now we have 186 and 12, (rule i) = 186 + 12 = 198• II. 15 followed by 3 (rule iv) =15 + 9 = 24. now 24

followed by 11. (rule ii) = 24*11 = 264• Add these : 198 + 264 = 462 answer

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Seven friends K, M, L, H, F; D and C are sitting around a circle facing the

centre. L is second to theright of H who is to the immediate right

of C. M isthird to the left of D and to the

immediate right of F. Who is third to the left of’C’?

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Solution…

• Answer : K

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Seven friends K, M, L, H, F; D and C are sitting around a circle facing the

centre. L is second to theright of H who is to the immediate right

of C. M isthird to the left of D and to the

immediate right of F.Which of the following pairs of

persons representsthe neighbours of K?

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Solution…

• CMFKLDH

• Thus the two person adjoining K are F and L.

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At an Electronic Data Processing Unit, five out of the eight program sets P, Q, R, 5, T, U, V and Ware to be operated

daily. On any one day, except for the first day of a month, only three of the program sets must be ones that were

operated on the previous day. The program operating must also satisfy the following conditions: I. If program P is to be operated on a day, V cannot be operated on that day. II. If Q is the be operated on a day, T must be one of the programs to be operated alter Q. III. If R is to be operated on a day, V must be one of the programs to be operated after R. IV The last program to be operated on any day must be either S or

• CONTINUE…

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Which of the following could be set of programs to be operated on the

first day of a month?(a) U, Q, S, T, W(b) V, Q, R, T, S(c) T,U, R, V, S

(d) Q, S, R, V, U

• A = LAST IS W, B = V IS BEFORE R, D = T IS NOT THERE AFTER Q. SO ANSWER IS (C)

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WHICH IS THE ODD ONE OUT OF THE FOLLOWING :

1. SIPRA 2. ONLOND 3. EHDIL 4. ABCU

• ANSWER : FIRST THREE ARE NAMES OF CAPITAL BUT 4TH IS THE NAME OF THE COUNTRY, SO 4TH IS THE ODD ONE OUT. FIRST IS : PARIS, 2ND IS LONDON 3RD IS DELHI. 4TH IS CUBA.

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WHICH OF THESE IS MOST ESSENTIAL IN A SCHOOL?

1. CHAWK 2. BLACKBOARD 3. ATTENDANCE 4. STUDIES 5.

CHAIRS• ANSWER : 4TH

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A COMPUTER TYPIST MAKES MISTAKE IN EVERY 5TH DIGIT HE TYPES. HE HAS WRITTEN THE FOLLOWING, WHAT WILL

BE CORRECT VERSION? SCHOTL IS VFRY FUMNY.

• 1 SCHOTL IS VFRY FUMNY.• 2 SCHOOL IS VERY FUNNY.• 3 SCOOTL IS VFAY FUNNY.• ANSWER : 2)

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AJAY AND DHAVAL ARE TALKING. AJAY’S SHODOW IS TOWARDS

RIGHT OF DHAVAL. IT IS MORNING TIME. WHICH

DIRECTION IS AJAY FACING?

• AJAY IS NORTH FACING. ANSWER

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NEHA IS DRIVING HER CAR. SHE COMES TO A CROSSING. SHE

READS NORTH ON A POLE AND SHE GOES TOWARDS THAT

DIRECTION. A NAUGHTY CHILD HAD TURNED THE POLES

CLOCK WISE 90 DEGREES. IN WHICH DIRECTION IS NEHA

GOING ACTUALLY?

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SOLUTION..

• EAST (ANSWER).

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PRAACHI GOES 300 METERS TO THE EAST OF HER HOUSE. SHE TURNS LEFT (90 DEGREES) AND GOES 400 METERS STRAIGHT.

HOW FAR AND IN WHICH DIRECTION IS SHE FROM HER

HOME? • NORTH –EAST 500 METERS. ANSWER

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IF APPLE IS CODED AS ZKKOV AND NUT IS CODED AS MFG,

HOW WILL YOU CODE GRAPE?

• A = 1, P = 16, L = 12, E = 5• SIMILARLY, WE FIND : ((FROM LAST) • Z = 1 FROM LAST K = 16 FROM LAST O = 12

FROM LAST V = 5TH FROM LAST.• SIMILARLY, N = 14, U = 21 AND T = 20• AND M = 14 FROM LAST, F=21 FROM LAST

AND G= 20 FROM LAST (TAKE THEIR RANK AND DEDUCT IT FROM 27).

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Continued…

• GRAPE = TIZKV ANSWER

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If COLGATE = 63, LUX = 57, WHAT IS NIRMA?

• N = 14

• I = 9

• R = 18

• M = 13

• A = 1

• ADD THEM = 55 ANSWER

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IF FAIL = OUZR, WHAT IS PASS?

• F = 6, A = 1, I = 9 , L = 12• O = 12 from behind, U = 6 from last, Z = 1st from last,

and R = 9 from Last. (`from 6,1,9,12 we have made : 12,6,1,9)

• Thus there is reversal of the sequence and inchange of positions.

• P = 16, A = 1, S = 19, S 19, from 16, 1, 19,19, we have to make : 19, 16, 1, 19 from last

• Thus answer : H K Z H answer

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Which of these is odd one ?1. ATC 2. ODG 3. NHE 4. LEATB

• ANSWER : (4TH)

• FIRST 3 ARE NAMES OF THE ANIMALS IN JUMBLED ORDER, THE 4TH IS TABLE.

• FIRST THREE ARE : CAT, DOG, HEN. AND 4TH IS TABLE. ANSWER

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What is the smallest number of sheeps, if there are 12 sheep in

front of a sheep, 12 sheep behind a sheep?

• Answer = 12 + 1 = 13 sheep answer

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It is 9.30 as per the watch which is lying on your table. The hour hand of watch is towards North. You turn it 180 degree clock wise, then 135 degree anti clock wise and again

135 degree anti-clock wise. In which direction is the minute hand

facing now? • Minute hand will be south facing. Answer

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%q^*k&l8&a^102(1!!w%e@u9nvzsgvw^oqoxhal

in the above series, how many symbols are such, which are

adjoining a vowel?

• 5 answer

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What is the probability of either Shyam or Yuvraj hitting the

target, both hit 2 targets accurately out of 5 attempts?

• Both not hitting : 3/5 * 3/5 = 9/25

• Hit by either of them or both of them

• = 1- 9/25 = 16/25 answer

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Average age of 60 students of a class is 12 years. When the age of teacher is added, the

average becomes 12.8. what is the age of the teacher?

• Total for 60 = 60 * 12 = 720• Total for 61 = 61*12.8 = 780.8

• Thus the age of the teacher is : 60.8 years. Ans.

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A + B = A is brother of B. A/B = A is son of B. A – B= A is sister of B.

A^B = A is father of B. A # B = A is mother of B. A* B = A is daughter of

B. Which of these will denote that P is

uncle of Q? • (1) P * Q + M (2) P # W – Q (3) P+R# Q

• (4) P / R ^ Q (5) None of these

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4 men A,B,C,D and 4 women W, X, V and Z are sitting in circle round a

table facing each other.No two men or women are sitting

adjacent to each other. W is to the right of B. Y is facing X and is to the left of A. C is to the right of Z. Who are the 2 persons

adjacent to D?

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Solution…

• The two persons adjoining D are Y and W

• Answer Y

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6 friends (A to F) went for a picnic. They stayed in 9 tents (one in

each). A,B,C don’t want to pick up a tent at the end of the row. D and A must not have any person in their adjoining tents. There is 1 empty

tent between A and C. E is adjacent to both F and C. B is next to the

tent in the beginning. Who is in 5th tent?

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Solution…

• @BFEC@A@D

• @ denotes empty tent.

• C is in the 5th tent. Answer

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A to H are sitting in a row facing North. A is 4th to the right of E. H is 4th to the left of D. C and F which

are not at the ends are neighbours of B and E respectively. H is next to the left of A and A is the neighbour

of B. Who are sitting at the extreme ends?

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solution

• Sitting arrangement from West to East.

• E FG H AB C D

• Thus E and D are sitting in extreme ends.

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You will give 1 scholarship if : income<1 lakh, marks > 60%, age

< 25, No criminal record, no medical problem, social motive and clear SOP (statement of purpose),

2 positive references.Try to solve the next questions…

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To whom will you give scholarship?

• 1. Anu, 23 years, clear SOP, 2 references, 59% marks

• 2. Ali 21 years, clear SOP, 2 references, 81% marks, clear medical record, no criminal record, income 3 lakhs,

• 3. Ira, 22 years, clear SOP, 2 references, 61% marks, clear medical record, no criminal record, income .8 lakhs, wants to be social entrepreneur,

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Solution…

• As per the criteria, Ira should be selected.

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8 friends are sitting in circular manner with equal distance. A is

just opposite to P. D is just opposite to the person who is sitting second

left to P. there are 2 persons between A and B. C is just right of

D. S has A to his immediate left and P has B to his immediate right. Q

and R are between P & S. Who is opposite S?

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Solution…

• S is opposite to B. answer

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A and B speak 2 truths and 1 lie, but not necessarily in this order.

They are talking : A : B is tall. B: C is taller A: D is

taller to C. B: D is the tallest. A: B is shortest. B: I am the tallest.

Which of these is certainly false?

• (1) B is tallest (2) D is tallest (3) D is taller to B.

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Solution…

First statement is certainly false. So answer is (1) .

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A is two times B. B is 4 times D. D is half of C. E is 3 times C.

What is the ratio of A to C & A to E?

• Ratio of A to C : 4:1

• Ratio of A to E : 4:3 answer

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The are 8 creatures in one hall (some are cows and some

hens). The number of legs is 18 more than number of heads. What is the number of hens?

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Solution…

• X + Y = 8 X = cows Y = hens• (4x + 2y ) (for legs) – (x+y) (for heads) =

18• 4x + 2y – 8 = 18• 4x + 2y = 26 divide it by 2 = 2x +y = 13 • Now deduct 1st equation from this, we get • X = 5 • Or cows ( X) = 5 and Hens (Y) = 3.

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A man is facing south, he turns 135 degree anti-clock wise, then 180 degree clock wise, which

direction is he facing now?

• ( 180 – 135) = 45 clock wise

• He will face south west .

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Jitesh is facing north. He turns 90 degree clockwise, then 180 degree anti clock wise. Then 90

degree again in the same direction. Which direction is he

facing now? • ( 180 + 90 – 90) = 180 anticlock wise (or

just opposite). He is now south facing.

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Find the missing value :

28 60 48

14 39 27

7 ? 16

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Answer

• Answer should be 27, because when we divide it by 3, we get 9, which when added to 7 gives 16

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Find the missing value

9 10 11

345 460 ?

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Solution…

• We find that the first number is 3 *100 + (5*9)

• Thus the 3rd number should be 577. answer

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How many pairs of letters are there in the word SEQUENTIAL which

have as many letters between them as in the alphabet?

• 1. From A to E (A is second last, and E is 6th from the last), we find 3 letters, in alphabet also we have 3 letters.

• 2. from Q to S, there is one letter between Q and S, in alphabet also there is one letter

• 3. from N to S, we find 4 letters between them, ina alphabet also we have 4 letters.

• 4. from N to Q : we have 2 letters • Answer = 4.

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In a temple, there are 26 steps in stairs. Sudhakar takes two step

down (from top), Prabhakar takes 1 step up (from bottom). Their

speeds are uniform. On which step will they meet?

• Divide 26 by (2+1) = 8. When prabhakar completes 8 steps, Sudhakar will complete 16 steps. On 9th step from bottom, they will meet. Answer

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In a temple, there are 20 steps in stairs. Sudhakar takes 1 step

down (from top), Prabhakar takes 2 step up (from bottom). Their speeds are uniform. On

which step from bottom will they meet?

• Divide 20/3 = 6.6 when Sudhakar comes down 6 steps, Prabhakar goes up 12 steps. Now when Sudhakar comes to 7st step from top, Prabhakar crosses him, for him it is 14th step from bottom answer.

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Six friends are gossiping in a garden, sitting in 2 rows. Jyoti is diagonally opposite to Nidhi. Anamika is not in end. Khyati is

just in the middle of two persons. Shabnam has two

persons to the left in her row. Sonam is having Khyati to her left. Who is opposite to Nidhi?

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Solution….

• So K J/ N

• N/J A S

• Answer : • Either Sonam or

Shabnam.

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Course of action: statement : people don’t follow

traffic rules in India.Course of action 1. send every one

for compulsory military training.2. appoint a minister for traffic rules

implementation.

• Answer : none of these is a logical course of action.

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Which is necessary part of : domicileOptions: a. tenant

b. dwellingc. kitchend. house

• Answer : (b) dwelling

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Which is necessary part of : knowledgeoptions: -a. schoolb. teacherc. textbookd. learning

• Answer : (d) learning

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Which is necessary part of : culture

options: - a. civility

b. educationc. agricultured. customs

• Answer ( d) customs

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Which of these is necessary part of : bonus

options: a. rewardb. raisec. cash

d. employer• Answer ( a) reward

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Which is necessary part of : ovation

a. outburstb. bravo

c. applaused. encore

• Answer (c) applause

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Which of these is essential part of : purchase

options: a. trade

b. moneyc. bank

d. acquisition

• Answer : ( a)

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Which of these is essential part of : vertebratea. backbone

b. reptilec. mammald. animal

• Solution ( a) .

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Which of these are essential part of : . provisions

a. groceriesb. supplies

c. geard. caterers

• Answer (b) supplies

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Which word does NOT belong with the others?

a. tapeb. twinec. cordd. yarn

• Answer (a)

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a. guitarb. flutec. violind. cello

• Answer ( b) flute – used by mouth, all other are string instruments, played by fingers.

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Which word does NOT belong with the others?a. unimportant

b. trivialc. insignificant

d. familiar• Answer ( d) familiar

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a. bookb. index

c. glossaryd. chapter

• Answer (a) book, all others are part of book

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a. streetb. freeway

c. interstated. expressway

• (a) street : all other are for higher traffic, street is for low traffic.

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a. aortab. heartc. liver

d. stomach

• (a ) aorta,

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QPO NML KJI _____ EDCa. HGFb. CABc. JKLd. GHI

• Answer ( a) HGF

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FAG GAF HAI IAH ____a. JAKb. HALc. HAKd. JAI

• Answer ( a) JAK

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BCB DED FGF HIH ___a. JKJb. HJHc. IJI

d. JHJ

• Answer ( a) JKJ

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CMM EOO GQQ _____ KUUa. GRRb. GSSc. ISSd. ITT

• Solution (c) ISS

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“His sister’s mother is the maternal grandmother of the sister of the grandson of my

father.” looking at a photograph, Monu remarked. Can you tell,

what is the person in photograph to Monu?

• cousin

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In a queue, Tushum is 15th from the front and 18th from the end. How many persons are there in

the queue?

• ( 18 + 15 – 1) = 32 answer

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In a queue, Tushum is standing behind 18 persons. He finds that the queue is very long and 102 persons are behind him in the queue. How many persons are

there in the queue?

• ( 18 + 102 + 1) = 121 answer

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In a queue, Tushum is 15th from the front and Pawan is 18th from the end. They interchange their positions, and now Tushum is 82nd from the front. How many

persons are there in the queue?

• (82 + 18 – 1 ) = 99 answer

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In a queue, Tushum is 15th from the front. He finds that twice the number of persons in front are behind him How many persons

are there in the queue?

• There are 14 in front of him, and 42 behind him. Thus there are 43 persons in the queue. Ans.

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Abhishek attempts an online examination. There are 12 questions. Each of these

questions has 4 questions as subparts. Out of these only 3 have to be attempted. Abhishek

has to attempt only 50% questions. If he completes the paper in 1 hour, he gets bonus of 12 similar questions to be attempted in 10 minutes, if he does it in time, he gets another

similar bonus for another 5 minutes. He completes all his work (with bonuses) and

leaves the exam after 1 hour 15 minutes. How many questions did he attempt?

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Solution…

• He attempts 18 in 1 hour, 18 in 10 minutes and 18 in next 5 minutes.

• He has to attempt 6 out of 12, each question in itself is having 3 sub questions to be attempted : 6 * 3 = 18 in 1 hour.

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There are 5 cities (A to E). A is not a hill station. B and E are not historical places. D is not an

industrial town. A and B are not alike. A and D are not historical places. Praachi visits 2 of these cities : 1. historical city 2. a hill

station which is also industrial town. Can you guess?

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Solution…

• Praachi must have visited C and E as C seems to be the only historical city and E seems to be the only city which is hill station and an industrial town both.

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6 friends are sitting in 2 rows. Vipin is not at the end of any row. Tej is

second to the left of Mahipal. Swaroop is the neighbour of Vipin and is siting diagonally opposite to Tej. Pawar is neighbour of Mahipal. Who are neighbours of Yogesh?

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COURSE OF ACTIONStatement : It appears that within 2 to

3 years, India will again face BOP crisis

Course of actions : 1. India should offer incentives to

Esport oriented units2. Customs duty on import should be

increaased.

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Answer …

• Both the course of action are logical and appropriate. Answer

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COURSE OF ACTIONStatement : there is very high

indiscipline in India Course of actions :

1. there should be compulsory military training for all

2. there should be a separate ministry to look after discipline. .

• Answer : None of these is logical

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What will come next in the series : 0,14,78,252….

• We can observe that this is a series : N^4 – N

• 1^4 – 1= 0

• 2^4 – 2 = 14

• 3^4 – 3 = 78

• 4^4 – 4 = 252

• Thus next number should be 5^4 – 5= 625-5 = 620 answer.

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Answer …

• The two rows are : (Yogesh, Vipin and Swaroop) and 2. (Tej, Pawar, and Mahipal).

• Thus neighbour of Yogesh is Vipin

• Answer

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SYLLOGISMstatements :

1. only stars are moons2. no cosmos is a star

3. no planets are moon.Conclusion:

1. some moons are not planets2. no cosmos is a planet3. no stars are planets

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Solution…

• Only the first conclusion can be drawn. We are not sure about other two conclusions.

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Syllogism: statements :

1. some birds are peacocks2. No cock is a hen

3. all hens are peacocksconclusions:

1. some birds are hens2. some peacocks are not cocks

3. some cocks are peacocks

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Solution..

• Only 2nd conclusion can be drawn

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Syllogism : statements :

1. no kite is a slate2. no jug is a slate

3. some jugs are ropesconclusions:

1. some ropes are slates2. some ropes are not slates

3. no kite is a jug

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Solution…

• Only 2nd conclusion can be drawn. Answer

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Syllogism :statements :

1. some bags are charts2. some trees are docks

3. no bag is clock4. cars are clocks

conclusions: 1. some charts are docks

2. some charts are not docks3. some trees are not bags.

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Answer

• No conclusion can be drawn from the given options.

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6 friends (A to F) are sitting on a circular table. A is to the immediate left of D, who is just opposite to C. E is sitting just opposite to B, who

is just next to A. there are 2 persons between B and E. Who is facing A? All the persons are sitting

at equal angles.

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Solution…

• Just draw a circle and put these on the cirlce. The sitting order is ABCFED. A is just opposite F. answer

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Hemant has to form a team out of his friends. There are 12 persons, and he has

to pick up a team of 4 persons out of these with 2 boys and 2 girls. ABCDEF are boys and GHIJKL are girls. A will go only if C is

going. D had a fight with F. E and B are rivals. D has good relation with every

person. H will go only if her brother B goes. K doesn’t like L. G and I are hard core

enemies to each others. J and K want to go together only. I will go only if E is there is the team. Hemant prepares some teams,

select the appropriate ones.

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Options…

• Teams : (1) ACIJ (2) DBHI (3) ADGI (4)CEGK (5) None of these

• Solution :

• None of these teams are valid teams. Answer

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You are taking photo of 4 bright students of Afterschoool in the

morning time (who are talking to each other) Khyati is facing Sun.

Jitesh’s shadow is on Anamika who is just left of Khyati. Shabnam has

two persons to her left and one towards right. Whom will you find in the left side of the photograph? You

are South facing, but none of the student is south facing.

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Solution…

• Their order : from east to west :

• Jitesh, Shabnam, Khyati and Anamika

• Thus in the photo, Jitesh will bein the left.

• Answer.

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If the first and 2nd letter of the word UNPRECEDENTED are

interchanged with the 1st and 2nd from the end. Similarly the 3rd and 4th letters are interchanged with 3rd and 4th letters from the end. What

will be the 7th letter to the right of 3rd letter to the left?

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Solution….

• Look at the word : UNPRECEDENTED

• Take the 10th letter from right ( 3 + 7 = 10 and as we have to start from left, we are doing it from right without changing the position of the letters).

• Thus answer is R.

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SOLVE THIS PUZZLE

• I. There is a family of 5 persons A, B, C, D and E.• II. They are working as a doctor, a teacher, a trader,• a lawyer and a farmer.• III. B, an unmarried teacher, is the daughter of A.• IV. E, a lawyer, is the brother of C.• V C is the husband of the only married couple in• the family. :• VI. A, a farmer, is a father of two sons and an• unmarried daughter.• VII. Daughter-in-law of A is a doctor.

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SOLUTION…

• A IS THE ELDEST PERSON IN THE FAMILY. HE IS FATHER OF B,E,C.

• B IS AN UNMARRIED GIRL, WHO IS SISTER OF E AND C.

• C IS MARRIED. E IS A LAWYER AND UNMARRIED PERSON.

• C AND D ARE MARRIED AND D IS WIFE AND IS ALSO A DOCTOR

• A’S PROFESSION IS FARMER , B IS A TEACHER, C IS A TRADER, D IS A DOCTOR, E IS A LAWYER. ANSWER

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4,6,10(12), 16, (14),22

• THERE ARE TWO SERIES :

• 4 + 6 =10, NEXT 10 + 6= 16 , NEXT 16+6 =22

• SECOND SERIES : 6,12,18…

• SO IN THE SERIES, INSTEAD OF 14, WE HAVE TO WRITE HERE 18.

• ANSWER

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DATA SUFFICIENCY QUESTION: What is the area of a field?

1. It is a square field, and diagonal is 200 meters.

2. it takes a person 1 hour to take a round of this field @ 10 km per hour.

• Options : 1. only 1st 2. only 2nd 3. both together 4. either individually 5. none

• Answer : 1st statement alone is sufficient.

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DATA SUFFICIENCY what is the age of Mohan? 1. He was born on 1/1/90.

2. Age of Mohan is 10 year less than the age of his brother, who will be completing his graduation

this year.

• Answer : 1st statement is sufficient.

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Data sufficiency Is India a developing country? 1. per capita income of India is

increasing. 2. No body dies from hunger in

India. • No statement is sufficient to answer the

question.

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Should Ravi invite Kavi today? 1. Today is the wedding

anniversary of Ravi and he wants to host a party.

2. Kavi is the only person who has helped him in his troubled times.

• Answer : both the statements together are required to answer.

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DATA SUFFICIENCY QUESTION: what is the age of Hulash?

1. he is 12 years older than Ramu. 2. 4 years later Ramu will be 12

years younger to Hulash.

• Answer : neither statement is sufficient.

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What is the rate of Potato? 1. Hulash got 200 Kg potato in

just Rs. 800. last year. 2. Inflation rate this year is 10%.

• Neither statement is sufficient.

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Data sufficiency questionwhat is the distance between

Bikaner and Delhi. 1. Dudi took 20 hours in going from Bikaner to delhi and returning back

to Bikaner. 2. the distance between these cities

is double the distance between Bikaner and Jodhpur.

• Answer : both the statements are insufficient.

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Data sufficiency question

what is the age of Seema? 1. today is the 25th marriage anniversary of her mother.

2. Her mother is 30 years elder to her

• Answer : neither statement can give the answer

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Data sufficiency questionhow is X related to Y?

1. Y is brother of X2. Z is mother of X and Y.

• Answer : neither statement can give the answer.

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What is the volume of a Glass (which is cylindrical in shape )?

1. the volume of a ball, which just fits in the glass is 212 cu. Cm.

2. the volume of the box, in which this glass is properly fitted is 612

cu. Cm. (the box is of the shape of a cuboid)

• Both the statements are together required to calculate the volume of the glass.

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Data sufficiency question:who is the lightest among

A,B,C,D,E? 1. A is heavier than B, who is

heavier than C and D. 2. E is heavier than maximum

number of persons.

• Answer : neither statement gives the answer. There is confusion about C and D, who is lighter.

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Data sufficiency questionhow many children in a room

are boys? 1. 50% children are in white

dress. 2. only boys are in white dress.

• Solution : neither statement gives the answer (exact number is not given).

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Data sufficiency question: is running good for health?

1. running within proper limits is good for heart and lungs.

2. knee, ankle and foot borne problems are due to prolonged and

improper running.

• Answer : either statement alone gives answer.

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If the second half of the english alphabet is written in reverse

order, which letter will be9th of the right of the eighth letter

from the left end?

• ABCDEFGHIJKLMZYXWVUTSRQPON• The word here is RIGHT OF, therefore the answer is O,

had it been RIGHT TO, we would have taken W as the answer.

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In the following number series, how many such odd numbers are there which are divisible by 3 or 5 and are followed by an odd number

which again is followed by an even number?

12,13,14,15,30,21,23,60,61,62,75,78,90,91,92,94,95,99,101,121,113

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Solution….

• The numbers are 12 (followed by 13 and again followed by 14), 21 (followed by 23 and again followed by 60), 60 (followed by 61 and again followed by 62), and 90 (followed by 91 and again followed by 92).

• Thus there are : 4 such numbers. Answer

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in the following number series, how many 9s are there which are not completely divisibly by a number

which is preceded by it butcompletely divisible by a number

which is followed by it?20129394939294958329239919395968739729277592019939281938

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Solution…

• These are as under : (1). 293 = preceded by 2 and followed by 3. (2) 493 = preceded by and followed by 3 thus fulfilling our condition.

• Thus there are only 2 such 9s.

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Sabnam remembers that she met her sister Shaini on Saturday after

13th of any month. If the first day of the month was Tuesday then on

what date did she meet her sister?

• 19th of that month. Answer

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• Options : 2,3,4,5• Try with options. Square of 2 is 4, which is

not possible here • Square of 4 is 16, which cannot be written

as (squre of 1 + 2 * ….), 55.25 will not come in multiple of 3.

• Try with 5, 143 is not a multiple of 3, thus only option left is 3, which fulfills our conditions. Answer

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In how many ways can we divide 9 things among 3 groups containing

2,3,4 items?

• 9 items can be divided in 9!, but we have 3 groups. So :

• 9!/(2!*3!*4!)

• =1260 answer

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Denominator of a fraction exceeds a numerator by 2. if 5 is added to

the numerator, it increases by unity, what is the fraction?

• Options: 1/3, 3/5, 5/7, 7/9

• Try with options, answer is :

• 3/5

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IN A CARVAN THERE ARE 50 HENS, 45 GOATS 8 CAMELS

AND SOME PERSONS. THERE ARE 224 MORE

FEETS THAN THE NUMBER OF HEADS. WHAT IS THE NUMBER OF PERSONS?

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SOLUTION…

• (312 + 2X) – ( 103 + X) = 224

• WE GET X = 15

• X = NUMBER OF PERSONS.

• ANSWER.

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UMAKANT STARTED MOVING FROM B TOWARDS A EXACTLY AN HOUR AFTER VIJAY STARTED FROM A IN THE OPPOSITE DIRECTION, BUT AT

HALF THE SPEED. BY THE TIME VIJAY COVERED 1/6TH OF THE DISTANCE, UMAKANT ALSO

COVERED THE SAME DISTANCE. WHERE WILL THEY MEET?

• CLOSER TO A OR B OR JUST BETWEEN A & B

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SOLUTION…

• THEY WILL BE CLOSER TO A

• ANSWER.

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In a class of MBAs, 40% took marketing, Finance and HR each.

10% took all the three options. 10% took combinations of 2 papers

each. How many didn’t take either of these three papers and opted for

other options?

• Solution = 30 % answer

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In a party of 50 persons, there are 3 optons: 1. tea, 2. coffee 3. cold drink. 5 persons take all three. There are 9

persons who like coffee and tea. There are 6 persons who like tea and cold drink. There are 6 persons who like cold drink and coffee. There are

20 persons who take tea and 20 persons who take coffee. How many persons take only cold drink? Every

person takes something at least.

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Solution…

• = 19 answer

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A@B means A is bigger than B. A # B means A is smaller than B. A & B means A is equal to B. A !B means A is either Equal or bigger than B. A

$ B means A is either equal or smaller than B. Solve the following

question:

• P @Q $ R # W• Which is correct : 1. Q is smaller than W• 2. P is bigger than W 3. W is smaller than Q 4 None.

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SOLUTION

• ONLY 1ST CONCLUSION CAN BE DRAWN.

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A@B means A is bigger than B. A # B means A is smaller than

B. A & B means A is equal to B. A !B means A is either Equal or bigger than B. A $ B means A is either equal or smaller than B. Solve the following question:

• M!N @Q$R&P which is correct :

• 1. q is bigger than R 2. M IS BIGGER THAN Q 3. P IS SMALLER THAN M. 4 NONE.

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SOLUTION…

• ONLY 2ND CONCLUSION CAN BE DRAWN

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12/2 - 6*3 +8 = 16, how will you interchange the sings to solve it?

• Instead of + use – and instead of – use +.

• You get : 6 + 18 – 8 = 16 answer

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6 friends are being photographed. They are sitting in a row. A and C

are sitting together. D is to the immediate right of B. C is in the 2nd

position from the left (when you observe them). E and F are in the middle. There are 3 persons to the

left of E. A is to the right of maximum number of persons. What

is their sitting order?

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1n a queue, Vijay is fourteenth from the front and Umakant is

seventeenth from the end, while Mary is in between Vijay and Umakant. Vijay be ahead of

Umakant and there are 48 persons in the queue, how many persons

are there between Vijay and Mary?

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Solution…

• We have exactly 17 persons between Vijay and Umakant. Mary is just in the centre of these 17, so there are 8 persons between Vijay and Mary

• ( 48 - `14 – 17 = 17)

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If 2 is at the top, what number will be at the bottom?

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Solution…

• It is 6 at the bottom.

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Complete above magic square so that the rows, columns, diagonals— all add to the same number and then find A+B?

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Solution… =9.25+11.75 = 21

13 4.25 10.5

6.75 9.25 11.75

8 14.25 5.5

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WHAT WILL COME IN PLACE OF ?

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SOLUTION..

• 7 *2 + 2 = 16

• 16 * 2 + 2 = 34

• 34*2 + 2 = 70

• 70 * 2 + 2 = 142

• 142 * 2 + 2 = 286 AND SO ON.

• SO ANSWER IS 70

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Which is wrong number in the series :

12,18, 27, 90, 270, 945,3780

• It is mentioned that it is a series, so solve it like a series and don’t search for odd one out.

• 12*1.5 = 18• 18* 2 = 36• 36 * 2.5 = 90• 90 * 3 = 270• 270* 3.5 = 945• 945 * 4 = 3780 so the wrong number is 27.

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What would come in the fill in the blanks :

BA_B_AAB_A_B• OPTIONS : • ABAA, • ABBA• BAAB, • BABB• Solution : the series is as under: • BAABBAABBAAB• We get this answer from 2nd option. Answer.

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P, O and Q are standing in the form of a triangle and POQ makes 90

degree angle. P is exactly 400 m. north of O and Q is exactly 300 m. West of O. R comes and stands

just in the mid point between P and Q. What is the direction and

distance of R from Q?

• Answer : 250 m. north east answer.

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A woman walking with a boy meets another woman and on being

asked about her relationship with the boy, she says : “My maternal uncle and his maternal uncle’s

maternal uncle are brothers.” How is the boy related to the woman?

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Solution

• Start solving from the last line. It is easier to solve such questions backwards.

• The answer is the boy is son of the woman. The woman could be aunt also (maternal aunt) .

• Answer

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When Umakant went to Sachin’s house, Sachin showed

him a photograph. The photo was that of the only grandson of

the father of the uncle of the sister of his sister’s uncle. Who’s photograph was it ?

• SACHIN’S

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Statement :1. Men are sinners 2. Saints are men

conclusion : 1. saints are sinners2. sinners are saints

which is / are valid conclusion?

• Only 1st conclusion is valid conclusion

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Statement :1. all dogs are cats

2. all cats are monkeysconclusion :

1. all dogs are monkeys2. some monkeys are dogs

• Both the conclusions are valid conclusions

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Statement :1. all tables are chairs

2. all chairs are spoonsconclusion :

1. all spoons are tables 2. some chairs are tables

• ONLY 2ND CONCLUSION IS VALID

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2. Some chairs are spoonsconclusion :

1. some spoons are tables 2. all chairs are spoons

which is / are valid conclusion?• Neither conclusion is valid.

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Statement :1. all books are pens2. all tables are pens

conclusion : 1. some books are tables 2. some pens are tables

which is / are valid conclusion?• Only 2nd conclusion is valid conclusion

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Statement :1. some tables are chairs

2. some chairs are spoonsconclusion :

1. some spoons are tables 2. some chairs are tables

•Only 2nd conlusion is valid conclusion

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Statement :1. few tables are chairs2. no chairs are spoons

conclusion : 1. no spoons are tables

2. some chairs are not tables which is / are valid conclusion?

• Neither conclusion is valid conclusion

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2. all chairs are spoons3. All spoons are pens

conclusion : 1. some spoons are pens 2. some pens are tables

which is / are valid conclusion?• BOTH THE CONCLUSIONS ARE VALID

CONCLUSIONS

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Position of Sanjay in the class from top is 8th and from bottom is

29th. How many students are there in the class?

• 29 + 8 – 1 = 36 answer

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Rajiv is 7th from the left and Manu is 12th from the right. Rajiv and

Manu interchange their position, now Rajiv is 27th from left. How

many students are there ?

• 27+12 – 1 = 38 answer

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ABC123A1B2C3D4E5F6DEF456IN THE ABOVE SERIES, HOW

MANY NUMBERS ARE IMMEDIATELY FOLLOWED BY

AND ALSO PRECEDED BY NUMBERS?

• ONLY TWO : 2 (BETWEEN 1 AND 3) AND 5 (BETWEEN 5 AND 6) ANSWER

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WHAT WILL COME NEXT : 1,4,18, 96

• It is N!*N

• Thus 1! *1 = 1

• 2!*2 = 4

• 3!*3 = 18

• 4!*4 = 96

• 5!*5 = 600 answer

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IF € + £ = 11 AND € -£ =5 AND £ *¥ =1 AND £ / ¥ =9, WHAT IS €/

• 24 Answer

• Solve it and find :

• € = 8 £ = 3 and ¥ = .33

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A + b means A is mother of B and A – B means A is father of B. A * B means A is sister of of B. A / B

means A is brother of B. Which of the following combination shows

that P is aunt of Q?

• 1. P / R + Q 2. P * R – Q

• 3. P – R / Q 4. P – Q / R

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solution

• ( 2 ) answer

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If Anju is taller than Rohini and shorter.than Manju and. Rohini is

as tall as Sanju but taller than Shubhangi, then Sanju is

(a) Taller than Manju(b) Shorter than Anju

(c) As tall as Anju(d) Shorter than Shubhangi

(e) Shorter than- Rohini

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Solution

• (c)

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If the first and the second letters of the word UNPRECEDENTED are interchanged with the

first and the second letters from the end, similarly the third and the fourth letters are

interchanged with the 3rd and 4th letters from the end, and soon, then what will be the

seventh letter to the right of the third letter from the

left?(a)P (b)R (c) E (d) C

• Solution : (R)

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In the word “PRESENCE”, how many pairs of letters are there such that each pair has as many letters between its units in the word as

there are in the English alphabet?(a)One (b)Two

(c) Three (d) Four

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Solution

• C and E have one letter in alphabet, here also we have only 1 letter between these two letters

• P and S have 2 letters between them.

• N and R have 3 letters between them,

• Thus we have 3 pairs (similar to alphabet) answer

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Some leaders are goodteam workers. -

Some good team workersare good-speakers -

Conclusions :1.-Some good team workers

are leaders.II. Some good speakers are

leaders -• Only 1st conclusion can be drawn

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Look at this series : D54Ih*$ke3lb@arm16f%jЄ276g9how many such symbols are there which are immediately preceded by or immediately followed by a

consonant but not both?

• Three : * $ Є

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Look at this series : D54Ih*$ke3lb@arm16f

%jЄ276g9which will be the digit fifth to the

right of the 13th from the right

• % answer

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Look at this series : D54Ih*$ke3lb@arm16f

%jЄ276g9which will be the digit fourth to

the left of the sixth from the right

• 6 answer

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Look at this series : D54Ih*$ke3lb@arm16f%jЄ276g9How many such consonants are there which are preceded by a

vowel and followed by consonant (immediately)?

• R is the only one (one) answer

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A cube of 15 cm dimension each is coloured red on front and back.

Then it is cut into smaller cube of dimensions of 3 cm each. How

many cubes will we get of one side red colour?

• 25 in front and 25 in back side

• Total = 50 answer.

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A cube of 15 cm dimension each is coloured red on front & bottom blue

on both sides and yellow on top and and back. Then it is cut into

smaller cube of dimensions of 3 cm each. How many cubes will we get

of only one side red colour & no other colour?

• 9 from front and 9 from bottom = 18 answer

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smaller cube of dimensions of 3 cm each. How many cubes will we get which have all three colour on three

sides? • 4 cubes only

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total?

• 125 answer

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of only one side blue colour and one side red colour and no other

side with any colour? • 12

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which will not have any side coloured?

• 27 answer

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of only one side coloured ( any colour) ?

• 54 answer ( 6 * 9 )

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of only two sides coloured (any colour) ?

• 12 sides each of 3 cubes : 12 * 3 = 36 ans

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of 3 sides with colours (any colour) ?

• 8 cubes in 8 corners answer = 8

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Statements:All terrorists are men.

All men are illConclusions

I. All terrorists are ill-famedII. No man can be a terrorist.

Which conclusion is/are valid?• No conclusion is valid

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Statements:All terrorists are men.All men are ill-famed

ConclusionsI. All terrorists are ill-famed

II. No man can be a terrorist.Which is valid conclusion

• Only 1st conclusion is valid conclusion

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Statements: Some teachers are followers.Some followers are famous.

ConclusionsI. Some teachers are

famousII. Some followers, are

teacherswhich is / are valid conclusion?

• Only 2nd conclusion is valid conclusion

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Statements: Some teachers are followers.

All followers are famous.Conclusions

I. Some teachers arefamous

II. Some followers, areteachers

which is / are valid conclusion?• Both the conclusions are valid conclusions

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Statements: Some teachers are followers.Some followers are famous.

ConclusionsI. Some teachers are

famousII. Some famous persons, are

teacherswhich is / are valid conclusion?

• No conclusion is valid conclusion

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In a certain code language,EMPHASIS is written as:NDIOBRJR. In that code

language, how willCREATURE be written?

(a) SBBDUTSD(b) QBBDTUSD(c) DSDBSTSF(d) SBDBUTDS

• Answer : (A )

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‘Watch’ is related to ‘Time’in the same way as ‘Vehicle’

is related to(a) Driver (b) Road

(c) Passenger(d) Journey (e) Fuel

• (d) journey

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Haresh is 27th from the left end of a row of 49 boys and Mahesh is

27th from the right end in the same row: How many boys are there

between them in the row?

• There are (49-27) = 22 boys to the right of H and there are 22 boys to the left of M. Thus we have 22+22+2 = 46 boys, there should be 49-46 = 3 boys between them.

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Nidhi is 5th from the right among 7 girls. Jyoti is 5th from left, how many girls are between them?

• There are 2 to the left of Nidhi and 2 to the right of Jyoti, plus they themselves, left out are : ( 7 – 2 – 2 – 2) = 1 answer.

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Nidhi is 3th from the left among 7 girls. Jyoti is 3th from right, how many girls are between them?

• 7 – ( 3 + 3) = 1 answer

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in a code language”1 3 5 7” means ‘We are very happy”, “2 6 3 9”

means “They are extremely lucky”, and “7 9 4” means ‘Happy andlucky”. Which digit in that code

language stands for “Very”?• 1 or 5 (one of these – data insufficient).

• 3 stands for are and 7 stands for happy. But we are not able to decipher 1 and 5, so very stands for one of these.

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Which of the following groups of letters should come in place of the

question-mark (?) in the series given below, formed by the letter-groups of the English alphabet?

AZB CYD EXF ? IVJ(a)GUH (b)GHU

(c) GWH (d) GHW

• Answer : (c)

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“Illness” is related to “Cure” in the same way as “Grief” is

related to(a) Happiness. (b) Ecstasy (c)

Remedy (d) Solicitude (e) Consolation

• Answer : (C ) remedy for grief

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Which pair of English letters should be the next in the series of pairs of

letters of English alphabet given below?

BE GK MR TZ BI(a)JR (b)KS(c) JS (d) KR

• Solution : (b) B,G, M are increasing from 5,6,7 …. E,K,R are increasing in 6,7,8….

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A and B are standing at a distance of 20km from each other on a straight

East- West road (A is in the West and B is in East) . A and B start walking

simultaneously, eastwards and westwards respectively, and both turn to their left and walk 10 km. ‘B’ turns to his right and walks 10 km at the same speed. Then both turn to their left and cover a distance of 5km at the same

speed. What will be the distance between them?

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Solution …

• Prepare a map and solve it :

• Distance East – West : 15 KM

• Distance north – south : 25 km

• Distance between them : sqrt(15^2 + 25^2)

• = 29.15 KM answer.

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Find the most similar option:

• KILOMETRE : DISTANCE

• (a) WeIght: Kilo

• (b) Thermometer: Temperature

• (c) I.Q. .: Intelligence

• d)Time : Hours

• Solution : (C) IQ measures intelligence

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Which is the most similar :

• COMPANY: DEPARTMENT• (a) Sea: Ocean• (b) Hub :Wheel• (C) Milk : Butter• (d) Book : Chapter

• Solution : • Option C and D both seem to be logical answers

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• DROUGHT: FAMINE

• (b) Inflation: Lower consumption• (c) Dry: Food• (ci) Flood : Monsoon• (a) Run : Fatigue• SOLUTION :• (b) answer

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Which are the most similar to the capitalised one :

• FRIENDLY: INTIMATE• (a)Comfortable: Uncomfortable• (b) Storm: Rain• (c) Tepid : Hot• (d) Little: Excessive• SOLUTION : • (C) Tepid (warm, little hot), is similar to hot in

same manner as friendly is to intimate (very friendly).

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Which is most similar to capitalised one :

• SECRETARY: STENOGRAPHY

• (a) Doctor: Medicine

• (b) Book keeping :Accountant

• (c) Weatherman : Meteorology

• (d) Typist :Typography

• Solution :

• (c ) answer

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Name the Indians, who are actors as well as singers:

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In a college election, a candidate who got 40% of the total votes was defeated by his rival by 160 votes. What was the total number of votes

polled?

• Suppose there are 100 votes, one got 60 and other got 40. Thus one person got 20 more votes. If 20 is the difference, the votes polled are 100, if 160 is the difference, the votes polled are : 160 *100/20 : = 800 ans.

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A merchant wants a gross profit of 25 percent on the sales. Thus the percentage that he should

add to the cost price will be

• Normally we take profit on cost. But here, we are taking profit on sales. If selling price is 100, profit is 25 and cost : 75, thus on cost : 25/75 *100, gives us 33.33% ans

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Which of the given figures best represents the relation of Elected

body, Parliament and of Legislative Assembly?

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Solution

• (C) is the best option, elected body is bigger circle, in which there are two bodies : 1. parliament (in the central govt.) and 2. legislative assembly (in states).

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Reema is twice as old as Beena. Three years ago, she was three

times as old as Beena. How old is Reema now?

• Options: (a) 10 years (b) 12 years

• (c) 15 years (d) 18 years

• SOLUTION :

• Try with option (b), you get the answer.

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Anita got 178 marks and failed by 22 marks. To pass, she had to

secure 40% marks. What were the maximum marks?

• (178+22) * 100/40 = 500 answer.

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If ALTERED is written as ZOGVIVW, how would you write the word RELATED in the same

• Options: (a) VIOGZVW (b) IVOZGWV (c) VOIZGVW (d) IVOZGVW

• A is first from beginning, Z is first from last, so on. Thus we are taking words from last counting same rank. Ths answer will be : ( d ).

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Solution :

• R : 18 instead of this : I• E : 5 instead of this : V• L : 12 instead of this : O• A : 1 instead of this : Z• T : 20 instead of this : G• E :5 instead of this : V • D: 4 instead of this : W• So answer : IVOZGVW

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Solution aid :

• Remember : C F I L O R U X

• It looks like the name of medicine, but it will help you. It is the table of 3 (c stands for 3, f for 6 and so on. It is also table of 3 from back side, x is 3 from last, and u is 6 from last) .

• Similarly remember E J O T Y

• It is table of 5. (E stands for 5)

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Average age of a class of 39 students is 15 years. But when the

age of teachers is included, the average increases by 3 months. What is the age of the teacher?

• 40 (including teacher) * 15.25 = 610 ( 3 months = .25)

• 39 * 15 = 585 (total of the students)

• The difference is the age of the teacher, which is 25 years. Answer.

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A batsman makes 87 in 17th innings and increases his average by 3, what is his

average after 17th innings?

• Let us assume the average after 17th innings to be x. so his total run now is : 17X. It is equal to : 16 (X-3) + 87

• Solving it we get : 16x-48 + 87 = 17 x• -x = - 39 or x = 39 answer.

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Distance between Bikaner and Ahmedabad is 700 KM. Vyas ji

goes @ 84 km per hour and returns back @ 56 km per hour.

What is the average speed of Vyas ji?

• For average speed, use harmonic mean. • 1/84 + 1/56 = ( 2+ 3) / 168 • Now multiply it by ½, we get : 5/336• Now reverse it : 336/5 = 67.2 answer.

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Three partners A,B,C invest Rs. 1600, 1800, 2300 in a business.

How should they divide profit of Rs. 399 between A,B,C, What is the

share of C?

• Share of A = 16 / (16+18+23) * 399 = 112• Share of B = 18 / (16+18+23) * 399 = 126• Share of C = 23 / (16+18+23) * 399 161• C’s share is 161 answer.

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Five books marked A, B, C,D and E are lying on a table.D is to the left of C; B is to

the left of E; A is to the rightOf C. If A Is to the left of B,then the book in the middle

will be

• DCABE

• THUS A IS IN THE MIDDLE.

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In a row of six persons, D and C are immediate neighbours of E. B is a neighbour of A only. A is the fourth from F. Who are on

the two end points?

• BADECF or BACEDF• The extreme points are occupied by B and F.

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Six families A, B, C, D, E and F are living in houses in a row. B has F and D as neighbours. E has A and C as neighbours. A does not live next to either F or D. C does not live next to D. Who are F’s next

door neighbours?

• DBFCEA• Thus next door neighbours of F are B and C. ans

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In a row of forty children, P is thirteenth from the left end and Q is ninth from the right end. How many children are there between P and F

if F Is fourth to the left of Q?• Solution : • 12, P, 18, Q, 8 (thus there are 18 children between P

and q. thus we have : • 12, P, 14, F 3, Q, 8• There are 14 children between P and F.

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If a/4 = b / 5, then which of these may be correct ?

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Solution :

• Let us assume A = 8 and B = 10. Let us put the values and try to solve it :

• We find that B and D both are giving correct answers, provided we don’t take the value of A and B as 4 and 5 respectively.

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• Options : 12,20,10,3

The root of the (x+4)/4 + ( x—5)/3= 11

equation is

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Solution…

• Try from options, 20 gives you correct answer.

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What is the perimeter of the triangle BCD in the figure given below ?

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Solution…

• Angle ABC is also 45 thus AB = AC thus BC = 2 * sqrt(2).

• All the sides of BCD are equal, so the perimeter is 3 * 2 *sqrt(2)

• = 6 * sqrt (2) answer.

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The independent probabilities that the three sections of an accounts

department will encounter a computer error are 0.2, 0.3 and 0.1.

What is the probability that there will be at least one error?

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Solution…

• Find out the probability of no error and deduct that from 1, you will get the answer.

• No error = (1-.2) * (1-.3) *(1-.1) = .504

• Thus probability of at least one error is :

• 1 - .504 = .496 answer.

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If x^(1/p) = y^(1/q) = z^(1/r), and xyz =1, then what is the value of

p + q + r?

• Let us assume the values of X, Y and Z as 2,4, and 1/8.

• Let us assume r = -3, we get 1/8^ (-1/3), which is 2. thus p =1 and q = 2

• Thus add p + q + r , we get 1+2+(-3), = 0• So answer is Zero. (you can assume any values

as per the conditions).

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What can be the value of Y: (15,30,60,40)?

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Solution…

• Try from option, only 30 gives you correct answer. You are able to get a total of 180 for both the triangles when you assume it to be 30. thus answer is 30 degrees.

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A = (sqrt(3) + sqrt2) / (sqrt3) – sqrt(2)

B = sqrt(3) – sqrt(2) / (sqrt(3)+sqrt(2),

what is a^2 + b^2?

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Solution…

• (sqrt(3) + sqrt2) / (sqrt3) – sqrt(2) multiply by : sqrt(3) + sqrt(2) / (sqrt(3) + (sqrt (2)

• Gives : 3 + 2 + 2(sqrt3*2) = 9.89• Similarly solve for B.• We get 3 + 2 – 2(sqrt3*2) = .11• Solving these we get : • Squres of 9.89 and .11• Gives you 98 (approx.) as answer.

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A managing committee of 7 members is to be constituted

from a group comprising 8 gentlemen and 5 ladies. What is

the probability that the committee would comprise 2

ladies?

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• We are selecting 2 women from a group of 5, so 5c2 + we are selecting 5 men from a group of 8, so 8c5, solving this we get : (total we are selecting 7 persons out of 13):

• C = combination (where order is not important) • (5c2 * 8C5) / (13 c7)• =(5*4 / 2*1) * (8 *7*6) /( 3*2*1)• =560• DIVIDED BY : • (13*12*11*10*9*8) / (6*5*4*3*2*1) = 1716• 140/429

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• C = combination (where order is not important) • (5c3 * 8C4) / (13 c7)• =(5*4 / 2*1) * (8 *7*6*5) /(4* 3*2*1)• =700• DIVIDED BY : • (13*12*11*10*9*8) / (6*5*4*3*2*1) = 1716• 175/429

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• C = combination (where order is not important) • (5c4 * 8C3) / (13 c7)• =(5 / 1) * (8 *7*6*) /( 3*2*1)• =280• DIVIDED BY : • (13*12*11*10*9*8) / (6*5*4*3*2*1) = 1716• 70/429

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• C = combination (where order is not important) • (5c5 * 8C2) / (13 c7)• =1 * (8 *7) /( 2*1)• =28• DIVIDED BY : • (13*12*11*10*9*8) / (6*5*4*3*2*1) = 1716• 7/429

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solution

• Let us add all the probabilities :

• (140 + 175 + 70 + 7 ) / 429

• 392 / 429 answer

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How many cubes with edge 10 cm that can be accommodated in a

cubical box of 1 metre edge?

• Bigger cube / smaller cube

• (100*100*100) / (10*10*10) = 1000 answer.

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I have a cube of one dimension of 12 cm. Now I colour it on all sides with red colour and make smaller cubes out of it of one

dimension of 3 cm. How many cubes will I have with no colours

on any side? • Only 8 out of 64 cubes will not have any

colour. Answer

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dimension of 3 cm. How many cubes will I have with no colours

on any side?

• Answer : 27 cubes

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dimension of 3 cm. How many cubes will I have with colours on

three sides?

• There are 8 such cubes

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dimension of 3 cm. How many cubes will I have with colours on

two sides?

• 12 * 4 (there are 12 edges in a cube). = 48 ans

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I have a cube of one dimension of 18 cm. Now I colour it on all sides with red colour and make smaller

cubes out of it of one dimension of 3 cm. How many cubes will I have

with colours on only one side?

• There are 6 sides on a cube, so 6 * 16= 96.

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In a class of 60 at a busi ness school, 40 students like marketing management, 36 like production

management and 24 like both. The number of students who like only

production management is

• 36 – 24 = 12.

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In a class of 60 at a busi ness school, 40 students like marketing management, 36 like production

management and 24 like both. The number of students who like don’t

like either of these subjects. • 60 – 52 ( 12 + 24 + 16) = 8 answer.

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Question on assumption:

• The government has decided to disinvest large chunk of its equity in select public sector undertakings for a better fiscal management.

• Assumptions: • I. The amount generated out of the

disinvestment process may reduce substantially the mounting fiscal deficits.

• II. There will be enough demand in. the market for the shares of these undertakings.

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Solution:

• The first assumption only is valid assumption, as it has been mentioned that the objective of the government is to manage fiscal deficit.

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Assumptions..

• The railway authority has decided to introduce two additional super-fast trains between the cities ‘A’ and ‘B’ during the vacation time.

• Assumptions• I. All the passengers who desire to travel during

vacation time will get a train ticket.• II. All other modes of transport between the• cities ‘A’ and ‘B’ are already overstretched.

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Solution…

• Second assumption is the valid assumption, as that is why the Railways authority has decided to introduce additional trains.

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• We must be prepared to face any eventuality and all the assignments must be completed as schedule. Director tells the Faculty members. Assumptions : -

• I. There is possibility of a Serious eventuality.

• II. Dates are fixed for all the assignments.• III. Faculty members are Supposed to

complete all the assignments.

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Solution…

• All the assumptions are valid assumptions.

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Question on Inference : which is valid inference:

• How is ‘over’ written in a certain code language ?

• I. ‘Over and again’ is written as ‘pit na ja’ in that code language.

• Il. ‘Boy and girl play’ is written as ‘ta ho pa ja’ in that code language.

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Solution…

• Both the statements are not valid infererences.

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. Which of the. following statements must be true in order to establish that G 30 is the all embracing group that includes G1, Uno, Due and G2 ?

• (1) All markets of G1, G2 include all markets of Due.

• (2) All markets of G 30 include all markets of G1, Uno.

• (3) All markets of G1, G2 include all markets of Uno.

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Solution…

• 2nd statement is vital.

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Before reaching her office (from home) , Nidhi turns right 4 times and turns left 7 times (90 degree each). Her office is North facing,

what can we say about her home?

Options: north, south, east, west facing Solution :East facing

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Which course of action do you suggest?

• Statement : - Courts take too long in deciding important disputes, of various departments

• 1. courts should be ordered to speed up the matters

• 2. Special powers should be given to the officers to settle to settle the dispute in their departments

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solution

• Both the courses of action seem appropriate and help us in solving the matter.

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Coding

• If VICTORY is coded as YLFWRUB, then how can SUCCESS be coded?

• (a) VXEEIVV (b) VXFFHVV

• (c) VYEEHVV

• (d) None of these –

• Solution:

• (b) is the right answer.

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Course of action

• Every year at the beginning or at the end of the,rnonsoons, :hav&. Of conjunctivitis, but this year, it Seems to be a major epidemic witnessed after four years.

• 1 Precautionary •measures should be taken after every f ea ;td check this epidemic.

• 2 People should be a visedzt dt rainy season.• Solution: none of the statement is valid

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What is the smallest number of ducks that could swim in this

formation: two ducks in front of a duck, two duck behind a duck and

a duck between two ducks ?.

• Options: 3,5,7, none of these

• Answer : 3

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The post office is to the east of the school While my house is to the south of school. The market is to The north of the post Office. If the distance of the market from the

post office is ‘equal to the distance of my house to the school, and that

of school and post office, then in which direction is the market with

respect to my school?

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Answer :

• North East

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A watch reads 4.30. If theminute hand points East, then in

which direction will the hour hand point

• NORTH EAST (ANSWER)

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The diagram in the left show marketing in green and systems in blue. Marketing is further

classified in right pie chart. Green and maroon colour on right are what % of the systems?

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if in the previous graph, the actual values are reduced by half, then the maroon and blue combined is by what % more than red in the

left pie chart?

• 28% approximate.

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• The result of an exam is given below. Out of 1000 students who appeared

• (i) 658 failed in Physics• (ii) 166 failed in Physics and Chemistry• (iii) 372 failed in Chemistry, 434 failed in Physics and

Maths• (iv) 590 failed in Maths, 126 failed in Maths and Chem• Assume all students failed in at least one subject.• Th number of students who failed in all the three

subjects is (1) 178 (2) 73 (3) 106 (4) 126

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Solution….

• =1000- ((658 - (166+434)) +(372 - (166+126)) +(590 - (434+126))+(166+434+126)) = 106 answer.

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solution

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Which of these had least cost per room?

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Solution..

• Divide the cost by the number of rooms

• We get Royal Holidays with minimum cost of .41.

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FEI: black: 1997, white : 1998. Which country had maximum

changein FEI?

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soluton

• Just by observation, we find the answer : China

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Graph shows market shares, what is the growth rate of company A?

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Solution

• Data inadequate – as we don’t know about volume or price.

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Graph shows market shares, what is the growth rate of company A, if total volume has increased by 100% and

value by 50%?

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solution

• Inadequate information – as we don’t know whether the growth rate is in terms of volume or price?

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Graph shows market shares, what is the annual growth rate of company A (in terms of volume), if total volume has increased by

100% and value by 50%?

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Solution…

• Suppose total volume was 100 in 1991, then the company A had 25. in 2001 total volume should be 200, company A should have 50. Thus there is growth of 25 on 25 = 100% growth. Divided by 10 years, we get annual growth rate of 10%. Answer.

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• A, B, C and D are 4 villages on a straight road in that order, given that B is equidistant from A and C while C is equidistant from B and D. Two girls Reena and Sheena decide to walk from A to D, covers the distance walking at 3 km/hr and

• Sheena covers the first lap (upto B) at either 1 or 4 km/ hr and then walked at the other speed till she meets Reena. Thereafter they walk together to D at Reena ‘s speed. Where did Sheena meet Reena?

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Solution…

• Suppose the total distance is 120 km. We have three gaps of 40 km each.

• The average speed of seena from A to C is : ¼ + 1/1 = 5/4 multiply it by ½, we get 5/8 reverse it : 8/5 = 1.6 km per hour. Thus Seena should first travel by 1 km per hour and then by 4 km per hour. Till Seena reach C, (80/1.6) = 50 hours – Reena should cover 50 * 3 = 150 km. Thus as per the logic they will never be able to meet (If she starts with the speed of 1 km per hour) Thus there is inadequate information. If she starts with the speed of 4 km per hour, there is a possibility that she can meet from B to C. …

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Continued…

• If Seena starts at 4 km per hour, then she is ahead of Reena. Seena will take 10 hours to cover the distance from A to B. now she will move at 1 km per hour. And now Reena will meet her. By the time Reena reaches B, Seena is at : 3.33 km from B. Now Reena will meet her at 3.33 / (3-1) = 1.66 hours. Thus they will meet between B and C. Now they will move @ 3 km per hour. Thus from B to D, they will take 80/3 = 26.6 hours to complete the journey as per our asumptions. We need exact distance to calculate the point where they met.

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Data sufficiency question:

• In terms of m, y is what percent of x?• (A) m > 0• (B) x is m percent of y• (1) (A) or (B) alone, but not by other

statement• (2) Either statement• (3) Both statements together• (4) Cannot be answered

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Rolling 6 dice, it is found that : 1. 3 dice show same numbers

and rest show different numbers2. only one dice show 6

3. only 1 dice show 1, what is maximum and minimum no.

greater than 3?

• Minimum = 1, maximum = 5.

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A watch reads 4.30. if minute hand points east, in which direction will

the hour hand point?

• North east

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.333 of a number is .001 of another number, what is the ratio of the two numbers?

• Let us assume the 1st number to be 3, it .33 is 1. now the second number is 1000

• Thus ratio is 3: 1000 or 1:333 answer. • Or • Let us assume the 1st number to be x. the

first solution is .33X the second number is : .33x / .001, solving it we get : 333 x

• Thus the ratio is 1: 333 answer.

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1.5 of a number is 6 times another number, what is the ratio of the two

numbers?

• Let us assume the first number to be 100.

• 1.5 of this number is 150.

• This is 6 times another number, so divide it by 6, we get : 25

• The ratio is 100 : 25

• Or 4:1 answer.

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Shabnam wants to go to IIM, she starts from her home, which is East

facing. She comes to a crossing. The road ahead takes to a hospital,

the road to left takes to Gujarat University, in which direction is IIM

from her home?

• South – East

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A taxi goes 20 Km north, turns right and goes 30 km then turns right

again and goes 35 km. Now turning left goes 15 km. Finally

turns left and again goes 15 km. in which direction and how far is the

taxi from the original starting position?

• 45 km east from the starting point.

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a to f are 6 members in a family. There are 2 couples. D is brother of F and both are lighter than B,

who is mother of D and lighter than E. C is a lady and is neither the

heaviest or the lightest in the family. E is lighter than C. the

grandfather is the heaviest. E is a man. Show the family diagram and

as per weight also.

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Solution…

• The grandfather is A, and couples are AC (A is man, C women), EB (E is man and B is woman) and we have two kids : F and D.

• The relation as per weight is clear. The heaviest is A, followed by C, E B and then we have D and F. we don’t know who is lighter among D and F.

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A to F are members of a family. There are 1doctor, 1advocate, 1engineer, 1housewife,

2 students in the family. There are 2 couples. F is the father of E and is doctor. A

is girl student and her husband is not an advocate. B is the grandmother of D and is housewife. Her husband is an engineer. D is sister of E. What is the profession of A’s

husband?

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Solution…

• A’s husband is a doctor by profession.

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P starts crossing the field diagonally after walking half way

he turns right. Walks same distance turns left. Which direction

is he facing now? p

NORTHSOUTH

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From the original position, P & Q move clock wise and cover half distance. R & S move anticlock

wise and move one side distance. Both the groups then cross over diagonally opposite direction. If

original configerationis PSQR, what is new configuration?

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Solution…

• RQSP

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From the original position, P & R move diagonally opposite corners. Then they move one side anticlock wise and clock wise respectivley. S and Q move two sides each clock wise and anticlock wise. Where is

P now? pr

NORTHSOUTH

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SOLUTION

• SOUTH WEST CORNER POSITION.

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From the original position, P & R move diagonally opposite corners. Then they move one side anticlock wise and clock wise respectivley. S and Q move two sides each clock wise and anticlock wise.Who is at

north west corner now?

NORTH SOUTH

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SOLUTION

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Is X > 3? 1. x^2 – 8x +12 < =02. x^2 – 2x – 8 < = 0

• No answer is possible as we cannot draw the answer from either statement.

• Formula :[ - b + - sqrt (b^2 - 4ac) ]/ 2a• = 8 + 4 / 2 and ( 8 – 4) / 2• We get x = 6 and 2 • (2 + sqrt(4 +32) /2 = 4 and - 2• we get x = -2 and 4 from second equation.

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Is sqrt x > 1/x ?

• 1. x > 0

• 2 x < 0

• Try from .04 and 4 we cant get the answer.

• Answer cannot be drawn from either statement.

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The sum of an infinite GP : p, 1,1/p, 1/p^2 …. Is a / 2, what is the

value of p?

• Sum of infinite GP = a / (1 – r)

• P / ( 1 – 1/p) = a / 2

• 2p = (ap – a) /p

• 2p^2 = ap – a

• P^2 = ap – a / 2

• P = sqrt ((ap – a ) / 2 )

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If : (3+5+7……nth term) / (5+8+11….10th term) = 7 , what is

n ? • Sum of AP • = n/2 (2a + (n-1)d)• A = first term• D = difference • = sum of the denominator series is 185• Numerator series / 185 = 7, so numerator

series total = 1295• =n/2 (6 + (n-1) 2) = `1295

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Continued…

• n/2 (6 + (n-1) 2) = `1295• =n (6 + 2n – 2) = 2590 • =6n + 2n^2 – 2n = 2590• 2n^2 +4n – 2590 = 0• [ - b + - sqrt (b^2 - 4ac) ]/ 2a• = (( -4 + sqrt(16 + 20720)) / 4• =( - 4 + 144) / 4 • =35 answer

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A vending machine has 5 switches for coke,7up,maza,limca,pepsi.

Each switch gives 2 different drinks. Each drink can be obtained from 2 switches. If two switches are pressed, if there is common drink, nothing will come out, otherwise

you will get the drink desired. Press the right combination for getting the

drink. .

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1+3 = 7up and maza, 1+2 = coke, pepsi, 1+4 = limca,coke,

maza, pepsi switch 1,2,3,4,5 don’t give 7up, limca,coke, maza, pepsi respectivley.

• What is 2+3?

• Maza + Limca+ 7up c,m,p,7up

• Coke maza pepsi, limca, 7up

• Answer : pepsei, limca, 7 up

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Solution …

• Prepare a matrix of rows and columns with drinks in one side and switch in one side to know the right combination.

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Coke will definitely come from which combination?

• 1,3

• 1,5,

• 2,4

• 2,5

• Soluton: 1,5

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What should you turn on for limca + coke ?

• 2,3

• 1,2,3,5

• 1,3,4

• 2,3,4

• Answer : 1,2,3,5

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7up pepsi coke maza limca

1 x x y Y x

2 y x x x

3 Y x x x y

4 x y x x Y

5 x x y y x

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How many integers N are there such : r < n < s?

1. s-r = 5 2. r & s are not integers

• Both the statements are required.

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What is the time difference between NY and London?

1. departure time at NY is 9 am and arrival time at London is 10

am (both local times)2. flight time is 5 hours.

• Both the statements are required.

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X says to Y : “ I am 3 times as old as you were 2 years ago.” how old

is x? 1. Y’s age 17 years from now is

same as X’s present age2. X’s age nine years from now is 3

times Y’s present age

• Answer can be drawn only from the 1st statement.

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In a row of poles, one pole is 11th from either side. How many poles

are there is in the row :

• 10 poles before and 10 after

• Total we have 10 + 10 + 1 = 21 answer.

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A,B,C are standing in a queue. There are 5 persons between A and B and 8 persons between B and C. if there are 3 persons ahead of C and 21 persons after A, what could be the minimum number of persons

in the queue?

• Answer is : 28 answer

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BM was counting up odd numbers from 1 onwards. Vivek was

counting downards 32. Will they count the same number together?

Their speed is same.

• No.

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Maximum 36 vehicles are marked in a parking lot in a single row. After the first car, there is one

more bike. After the 2nd car there are 2 bikes and after 3rd car, there are 3 bikes and so on. How many bikes are there in the second row?

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A performance review table is incomplete with some more

details…

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Additional information

• Half the workers were either excellent or good.

• 40% of the workers were females.

• One third of the male workers were average.

• How many students are both female and excellent

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Solution…

avg goodexcelle

nt total

male 16 22 10 48

female 24 8 0 32

total 40 30 10 80

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answer

• Zero

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In which month was the greatest absolute change in market value for any share recorded?

(black bar = XYZ, white bar = ABC )

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SOLUTION…

• MARCH (by observation, we find the share prices of XYZ have increased by some 17 points)

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The average market value of XYZ. shares is, by what percent less or

more than the same for ABC? (black bar = XYZ, white bar = ABC )

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SOLUTION

• ABC is approx. 75

• XYZ is approx. 103

• The difference is : 28

• 28/75 *100

• =36% approx. answer.

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(black bar = XYZ, white bar = ABC ), market capitalisation means no. of shares * market price. Both companies have

1000 shares. What is the maximum market capitalisation of any company over the period?

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Solution…

• The highest price visible is of ABC of 68 in the month of April.

• 68 *1000 gives us 68000. thus highest market capitalisation possible is 68000 for ABC.

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Which Lok Sabha had minimum seats?

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Solution…

• We have to calculate the number for each loksabha. We find that it is least in the first lok sabha itself. It is 499 for the first year.

498.8662132

502.9585799

523.6486486

521.3270142

544.4126074

543.6893204

517.2413793

544.6927374

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Pointing out to a lady, a girl said, ‘She is the daughter-in-law of

the grandmother of my father’s only son.” How is the lady

related to the girl?

• MOTHER (start from last and try to solve backward and you are able to solve it.)

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Introducing a man to her husband, a woman said, “His brother’s father is

the only son of my grandfather.” How is the woman

related to this man?

• Sister (answer)

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What will be next in the series: 4, 5, 9,18,34 …

• Options:

• 43, 59, 50, 49

• Solution…

• 4 + 1, = 5, 5 + 4 = 9, 9 + 9 = 18…. So on, we can see that only square values in series are added – thus the next value to be added will be 25, so 34 + 25 = 59 .

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What will be the next in the series : 66,36,18 …

• Options: 3,6,8,9

• Solution:

• 6 * 6 = 36,

• 3 * 6 = 18

• 1 * 8 = 8

• So next number will be 8 .

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What will be the next in the series : 21,25,33,49,81,..

• Options: 145,111,113,127

• Solutions

• Look at the differences : 4,8,16,32 so on. It is a series :

• Thus next number will be : 81 + 64 = 145 ans

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What will be the next in the series : 12,32,72,152 …

Options : 313, 312, 315, 512

Solution:

Look at the difference :

20,40,80,160…

Thus next number shouold be :

152 + 160 = 312 answer.

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DATA SUFFICIENCY QUESTION: Vishal takes morning train to his office from Bikaner to

Delhi. His colleague Tarun joins him on the way. There are three stations A,B,C on the way

(not necessarily in this order), What is the sequence of these stations?

• STATEMENTS: `1. Tarun joins at B

• 2. Mr. Jitesh who travels between A & C is with Vishal and never travels with Tarun.

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Solution…

• Both the statements are inadequate to answer : as we don’t know out of A and C which comes earlier. There is not confirmed information in the question.

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Data sufficiency question…What is the value of prime number

• X ^2 + x is a two digit number greater than 50

• X^3 is a three digit number• Solution…• Both the statements are required to give

the answer. – as 7 is the only prime number which fulfills both the conditions.

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DATA SUFFICIENCY QUESTION: Vishal takes morning train to his office from Bikaner

to Nokha and was delayed by 40 minutes due to engine trouble. What is the distance

beteween bikaner and Nokhastatements :

1. Engine trouble developed after 40 km from Bikaner and speed reduced by 1/4th of

the original speed2. engine trouble developed after 2 hours of

journey and speed reduced by 1/4th.

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DATA SUFFIENCIENCY : The ratio of two number x and y is

2:3 what are the values of x and Y?

• 1. 3x – 2y = 0

• 2. 2x + 7 y = 1

• Solution….

• 2nd statement alone is sufficient to answer

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Read this table carefully and answer: What per cent of Karnataka’s railway network has

broad gauge tracks?

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solution

• Total rail network in Karnakatak : 552

• Thus 365/552 *100 gives 66.12% answer.

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Read it and answer If the share of system software in the total remains same 1990 as in 1988; and in 1990, the total exports is Rs. 9,000 the system software export in 1990 is

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Solution…

• 2800 / 6300 * 9000 = 4000 answer

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Read it and answer If the share of system software in the total remains same 1990 as in 1988; and in 1990, the total exports is Rs. 9,000 the financial software

export in 1990 is

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Solution

• Answer cannot be determined.

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By how many times has AIR’s (both Vividh bharati and Primary channel) commercial earnings increased over the given period?

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Solution…

• AIR revenue increased from 6.26 to 81 over the period of time.

• Thus it has increased by : 12.9 times.

• 81 has been arrived by adding 37.3 and 43.7 (both the channels).

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If 50 units each of A and B are produced, which machine has been

poorly utilised?

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solution

• Except in machine 2nd, all the macines are having 100% capacity utilisation.

• You can see this for machine 1 as : 50 * 3 + 50 * 4 = 350

• Answer = 2nd machine

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I go 2 km towards east, I turn right and go 1 KM then I

again turn right and I go 1 KM. In which direction am I now from my starting point?

• Answer: south east

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A three CM cube has been painted red on all its sides. It is cut into

one CM cubes. How many cubes will be there with one side painted

• 26 cubes will have one or more sides painted, out of these, some will be having 2 sides painted and some 3 sides painted. The number of cubes having only one side painted will be : 6 answer.

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X+y+z > 0, is Z > 1? Data sufficiency:

1) : Z > x +y, 2) : X+Y < 1

• Both the statements are not sufficient

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X+y+z > 0, is Z > 0? Data sufficiency:

1) : Z > x +y, 2) : X+Y < 1

• 1st statement alone is sufficient to answer the question.

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Question on assumptions

• : “If you are beautiful, we will catch your

• beauty. If you are not, we will make

• you beautiful.” —An advertisement of a

• photo Studio.

• I. How to look beautiful, is a problem

• of youngsters?

• II. Nobody desires to be beautiful

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Answer ….

• Only the first assumption is valid assumption.

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Question on assumption…

• The integrated steel plants in India would

• no longer have to depend on imports for

• continuous casting refractories.

• I; Continuous casting refractories are. needed by India.

• II. Continuous casting refractors are in demand.

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Solution…

• Both the statements are valid assumption…

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What is the missing number?

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Solution…

• Based on logic :

• 4+ 1 – X = 4

• SO X = 1.

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FIND THE MISSING VALUE (here instead of 41 read 42)

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SOLUTION…

• The answer is 7,

• 7 * 4 = 28 and 7+4 = 11. answer

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• On rolling 6 dice, it is found that:

• I. Three of the dice show the same number. The rest show different numbers.

• II. Only one dice shows 6.

• III. Not more than 3 dice show 4 or more.

What is the minimum possible total of numbers on the faces if the three dice show the same number 2?

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Answer…

• The answer should be 21 with the following breakup :

• Three dice of 2 each

• One dice each of 4,5,6.

• Total them up = 21. answer.

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Question on puzzle

• III. Not more than 3 dice show 4 or more.

• What is the maximum total if 4 of the dice show less than 4?

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Solution…

• Answer is 22 with the following combination:

• Three 3 = 3* 3 = 9

• One each of 2,5,6 = 13

• Total 22. answer.

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Puzzle…

• On rolling 6 dice, it is found that:• I. Three of the dice show the same

number. The rest show different numbers.• II. Only one dice shows 6.• III. Not more than 3 dice show 4 or more.• If only 1 dice shows 1, what is the

maximum number of dice with numbers greater than 4?

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Solution…

• Answer is 2.

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Puzzle …

• If only 1 dice shows 1, what is the maximum number of dice with numbers greater than 4?

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Solution….

• We can take as under :

• 6,5,5,5,4,1,

• Thus answer is 4.

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After his.oftlce, in the evening, a man walks facing the sun. He turns first to his right, then to his left and

again to his left and then to his right. In which direction is he

moving now?

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Solution…

• He is moving towards west. You can cancel two left movements and two right movements by each other.

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Starting from a point, Jitendra walked 12 m towards North, he

turned right and waked 10 m, he again turned right and walked 12m, then he turned left and walked 5 m.

How far is he now and which direction from the starting point?

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Solution…

• 15 m. east

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What is the all India annual growth rate in demand of X as the following table?

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Solution…

• A compound growth rate of 14.14 will make 146.54 to 283.9 in 5 years.

• 146.54* (1.1414)^5 = 283.9

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Out of these, which region had highest growth rate?

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Solution

• The highest growth in the East section (in %)

• In absolute terms, the highest growth rate is in South region

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WHAT IS THE NET DEMAND AT B?

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SOLUTION

• THE NET DEMAND AT B IS

• 1200 – (250 + 550) = 400. ANSWER.

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FOUR FRIENDS ARE SITTING IN A ROW TO BE PHOTOGRAPHED.• D IS TO THE RIGHT OF B. C IS NEXT TO

B. A IS AT ONE EXTREME. B IS NOT IN MIDDLE. THERE IS ONLY ONE PERSON TO THE LEFT OF C.

• WHAT IS THE EXACT ORDER OF SITTING ARRANGEMENT?

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SOLUTION

• PUT C IN 2ND POSITION FROM LEFT AND A AND B IN EXTREME POSITIONS

• ADCB

• Answer.

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Four friends are being photographed?

• D IS TO THE RIGHT OF B. C IS NEXT TO B. A IS AT ONE EXTREME. B IS NOT IN MIDDLE. IN THE PHOTO THAT WE TAKE, THERE IS ONLY ONE PERSON TO THE LEFT OF C.

• WHAT IS THE EXACT ORDER OF SITTING ARRANGEMENT?

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SOLUTION

• NOW WE HAVE TO PUT C AT 2ND POSITION FROM LEFT FROM OBSERVER’S PERSPECTIVE.

• A AND B ARE AT THE TWO ENDS.

• SITTING ARRANGEMENT IS :

• ACDB.

• ANSWER.

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There were 6 cars in an exhibition. Alto was to the immediate right of

Swift. Spark was between ambassador and Indica. I10 was at

one of the extreme ends. If you take the third car from your right (when you observe these cars), then you find a car whose name starts from I. What is the 3rd car

from your left?

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Solution…

• It will be either spark or swift

• (draw the maps and solve it).

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6 friends are getting photographed. They are sitting in a row. A and C

are sitting together. D is to the immediate right of B. C is in the 2nd

position from left (when you observe them), E and F are in the middle. There are three persons to

the left of E. A is to the right of maximum number of persons. What

is the correct sitting order?

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SOLUTION….

• The correct solution is :

• ACEFDB

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ARGUMENT….

• Should there be world government?

• A 1. yes, it will help in eliminating tensions

• A 2: no – then only developed countries will dominate.

• ANSWER :

• Both the arguments are logical arguments…

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QUESTION ON BLOOD RELATION…

Ram says: “he is the husband of X, who is the daughter of Y, who is daughter of Z, who is my father.”. What is the relation between Ram and Y.

ANSWER :

Ram and Y are brother and Sister.

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QUESTION ON CODING :

• A COMPUTER USES FOLLOWING SYSTEM WHILE SOLVING:

• Input : 23, 09, 320, 90, 12,

• 1st step: 320, 23, 09, 90, 12

• 2nd step : 320,90,23,09,12

• 3rd step & Output: 320,90,23,12,09

• In how many step will following input be solved : 90,121,94,23,233,898,22,400?

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Solution…

• Input : 90,121,94,23,233,898,22,400?• 1st step: 898, 90,121,94,23,233,22,400• 2nd step: 898,400, 90,121,94,23,233,22,• 3rd step: 898,400,233, 90,121,94,23,22,• 4th step: 898,400,233,121,90,94,23,22.• 5th step: 898,400,233,121,94,90,23,22 • Thus the question is solved in 5 steps.

Answer.

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SYLLOGISM

• 1. : all rooms are stones

• 2. all stones are diamonds

Conclusion:

1. All rooms are diamonds

2. All diamonds are rooms

3. All stones are rooms

4. No conclusion can be drawn

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Answer

• Only 1st conclusion can be drawn

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Syllogism

• 1. all chairs are tables

• 2. all tables are books

• Conclusion

• 1. some chairs are tables

• 2. some chairs are not tables

• 3. some tables are not chairs

• 4. no conclusion can be drawn

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Answer

• Only 1st conclusion can be drawn

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Read the information carefully: A,D, F,M are girls

A,D,E,F,G,H, are intelligentB,C,D,E,F,G, are hardworking

C,D,E,G,H,M are honestA,B,C,D,E,F,M,H are ambitious

Boys play Cricket, Girls play Chess

name the persons, who are ambitious chess players.

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solution

• A,D,F,M are the ambitious chess players

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Boys play Cricket, Girls play Chessname the persons, who are the chess players, who are neither honest, nor hardworking, ambitious , intelligent?

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Answer

• None

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Boys play Cricket, Girls play Chessname the persons, make a cricket team of hardworking, intelligent and honest

players

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Solution…

• E and G.

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2^a = 3^b = 6^-c , what is value of 1/a +1/b +1/c?• Let us assume a value which we can equate with

all these values. (use log table for solving this question).

• Let us take all these values equal to 1. thus value of A, B and C are equal to Zero. Thus the answer is Zero.

• We can also assume these values to be equal to 6. • A = 2.6, B =1.65 and C = -1• Now putting these values: ½.6 + 1/1.65 – 1• = lcm of 2.6 & 1.65 = 4.29• Thus ( 2.6 +1.65 -4.29 ) /4.29 = zero. Answer.

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Log T + Log (T-3) = 1, what is T?• We know that Log 10 = 1. (Log 10 10 )

• In log, we multiply, where the symbol is +.

• Thus t * (t-3) = 10 ; T^2 -3T =10; • T^2 -3t -10 = 0• T^2 – 5T + 2T -10 = 0• T (T-5) +2 (T-5); T-5 = 0 or T =5; T+2

=0• T = 5 or -2• Thus T = 5 answer.

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Sum of 2 numbers is 52 and their difference is 2. what are the numbers?

• X + Y = 52• X –Y = 2• Add these: 2X = 54; X = 27• Y = 25 answer.

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Diagonal of rectangle is 5 CM. One of its side is 4 CM. Its area is ?• Let us find the other side. • As per pythogorus rules, other side

is sqare root of (5^2-4^2) = square root of (25-16) = square root of 9

• Other side is 3. • Area = 4*3 =12 answer.

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Fourth part of a number exceeds the sixth part by 4. what is the number?

• X / 4 – X /6 = 4• (6X-4X) / 24 = 4• 2X = 96• X = 48 answer.

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Two numbers are such that twice the smaller number is less than twice the greater one by 18 and 1/3 of smaler and 1/5 of greater number are together 21. What are numbers?• Bigger number = X , smaller no. = Y• 2X-2Y = 18; 1/5 X + 1/3Y = 21• Let us multiply second eqation by 10, we get: 2X +

10/3 Y = 210. Subtract this equation from 1st. We get -16/3 Y = -192

• Y = 192 *3/16 = 36. thus smaller number is 36. Putting this in first equation, we get 2X = 90 or X = 45 answer. .

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A number between 10 & 100 is five times the sum of its digits. If 9 is added to it, digits are reversed. What is the number? • Let us assume unit digit to be X & digit at

tenth place to be Y. • The number is : 10Y +X • 10Y +X= 5 (X +Y)• (10Y +X ) +9 = 10X +Y or 9y-9X = -9 or Y-

X =-1• 10Y – 5Y=5X-X or 5Y = 4X or Y = 4 and X

= 5 thus number is 45. • Solve such question by options.

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Find the fraction which is equal to ½ when both its numerator and denominator are increasd by 2 and is equal to ¾ when both are increased by 12?• Options: 3/8, 5/8, 3/8, 2/3• Try from options. First option gives

you answer. If you add 2 in each, you get 5/10 (which is ½) and if you add 12 in both the digits, you get 15/20 (which is ¾). Thus option 1 gives answer.

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If X: Y = 3:4, value of x^2y +xy^2 :x^3+y^3?

• Putting X = 3 and Y = 4. • 36+48: 27+64• 84:91 (divide both the numbers by

7). • = 12:13 answer.

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If 2s:3t is duplicate ratio of 2s-p:3t-p then which is true: p^2= 6st or p =6st or 2p =3st

• Try from options. • Let us assume that P = 6. and as per

first option, St = 6. Let us try putting values in s and t and if we get correct answer, we get answer. S = 2, T = 3 or 4:9

• We get next ratios as : -2: 3 (which is subduplicate ratio of 2s:3t) thus this is the answer.

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ABOUT AFTERSCHOOOL

Afterschoool conducts three year integrated PGPSE (after class 12th along with IAS / CA / CS) and 18 month PGPSE (Post Graduate Programme in Social Entrepreneurship) along with preparation for CS / CFP / CFA /CMA / FRM. This course is also available online also. It also conducts workshops on social entrepreneurship in schools and colleges all over India – start social entrepreneurship club in your institution today with the help from afterschoool and help us in developing society.

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Why such a programme?

• To promote people to take up entrepreneurship and help develop the society

• To enable people to take up franchising and other such options to start a business / social development project

• To enable people to take up social development as their mission

• To enable people to promote spirituality and positive thinking in the world

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Who are our supporters?

• Afterschoolians, our past beneficiaries, entrepreneurs and social entrepreneurs are supporting us.

• You can also support us – not necessarily by money – but by being promotor of our concept and our ideas.

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About AFTERSCHOOOL PGPSE – the best programme for developing great entrepreneurs

• Most flexible, adaptive but rigorous programme

• Available in distance learning mode• Case study focused- latest cases • Industry oriented practical curriculum• Designed to make you entrepreneurs – not just

an employee• Option to take up part time job – so earn while

you learn • The only absolutely free course on internet

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Workshops from AFTERSCHOOOL• IIF, Delhi• CIPS, Jaipur• ICSI Hyderabad Branch• Gyan Vihar, Jaipur• Apex Institute of Management, Jaipur• Aravali Institute of Management, Jodhpur• Xavier Institute of Management,

Bhubaneshwar • Pacific Institute, Udaipur• Engineering College, Hyderabad

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Flexible Specialisations:

• Spiritualising business and society• Rural development and transformation• HRD and Education, Social Development• NGO and voluntary work• Investment analysis,microfinance and inclusion • Retail sector, BPO, KPO• Accounting & Information system (with CA /

CS /CMA)• Hospital management and Health care• Hospitality sector and culture and heritage• Other sectors of high growth, high technology

and social relevance

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Salient features:

• The only programme of its kind (in the whole world)• No publicity and low profile course• For those who want to achieve success in life – not just a

degree• Indepth knowledge and expertise • Professional approac: World class approach• Strong intellectual and business capabilities• Flexible – you may stay for a month and continue the rest of the

education by distance mode. / you may attend weekend classes • Scholarships for those from poor economic background• Latest and constantly changing curriculum – keeping pace with

the time• Placement for those who are interested• Admissions open throughout the year • Latest and most advanced technologies, books and study

material

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Components

• Pedagogy curriculum and approach based on IIM Ahmedabad and ISB Hyderabad (the founder is alumnus from IIMA & ISB Hyderabad)

• Meditation, spiritualisation, and self development • Essential softwares for business• Business plan, Research projects• Participation in conferences / seminars• Workshops on leadership, team building etc. • Written submissions of research projects/articles / papers• Interview of entrepreneurs, writing biographies of entrepreneurs• Editing of journals / newsletters• Consultancy / research projects • Assignments, communication skill workshops• Participation in conferences and seminars• Group discussions, mock interviews, self development diaryng • Mind Power Training & writing workshop (by Dr. T.K.Jain)

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Pedagogy

• Case analysis,• Articles from Harvard Business Review • Quiz, seminars, workshops, games, • Visits to entrepreneurs and industrial visits• Presentations, Latest audio-visuals• Group discussions and group projects• Periodic self assessment• Mentoring and counselling• Study exchange programme (with institutions

out of India)• Rural development / Social welfare projects

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Branches

• AFTERSCHOOOL will shortly open its branches in important cities in India including Delhi, Kota, Mumbai, Gurgaon and other important cities. Afterschooolians will be responsible for managing and developing these branches – and for promoting social entrepreneurs.

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Case Studies

• We want to write case studies on social entrepreneurs, first generation entrepreneurs, ethical entrepreneurs. Please help us in this process. Help us to be in touch with entrepreneurs, so that we may develop entrepreneurs.

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Basic values at afterschoool• Share to learn more• Interact to develop yourself• Fear is your worst enemy• Make mistakes to learn • Study & discuss in a group• Criticism is the healthy route to mutual

support and help • Ask fundamental questions : why, when,

how & where?• Embrace change – and compete with

yourself only

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www.afterschoool.tk social entrepreneurship for better society

Reasoning & Data Sufficiency

Documents