GENERAL INTELLIGENCEDIRECTIONS (Qs. 1 - 6) : Select the related letter/word/numberfrom the given alternatives.1. Symphony : Composer : : Painter : ?
(a) Fresco (b) Colours(c) Art (d) Leonardo
2. Elephant : Tusk : : Parrot : ?(a) Quill (b) Feather(c) Beak (d) Spine
3. 27 : 125 : : 64 : ?(a) 162 (b) 216(c) 273 (d) 517
4. AB : L : : BC : ?(a) X (b) V(c) Y (d) W
5. BDGI : OQTW : : AFIM : ?(a) MUSY (b) MRUY(c) NSVZ (d) NRZV
6. 8 : 62 : : 9 : ?(a) 64 (b) 79(c) 18 (d) 81
DIRECTIONS (Qs. 7 - 12) : Select the one which is different fromthe other three responses.7. (a) steering wheel (b) engine
(c) car (d) tyre8. (a) 325 (b) 360
(c) 230 (d) 2569. (a) NLM (b) YXZ
(c) NMO (d) RQS10. (a) uranus (b) pluto
(c) jupiter (d) sun11. (a) 12 – 48 (b) 18 – 54
(c) 16 – 64 (d) 14 – 5612. (a) LRO (b) CJG
(c) SZW (d) PWTDIRECTIONS (Qs. 13 - 14): Which one of the given responseswould be a meaningful order of the following?13. 1. curd 2. grass
3. butter 4. milk5. cow(a) 5, 2, 3, 4, 1 (b) 4, 2, 5, 3, 1(c) 2, 5, 4, 3, 1 (d) 5, 2, 4, 1, 3
14. 1. rat 2. eagle3. snake 4. grain5. field(a) 5, 4, 1, 3, 2 (b) 4, 3, 2, 5, 1(c) 5, 1, 3, 2, 4 (d) 5, 3, 2, 4, 1
DIRECTIONS (Qs. 15 & 16) : A series is given, with one number/letter missing. Choose the correct alternative from the givenones that will complete the series.15. 3, 11, 38, 102, ______ , 443
(a) 227 (b) 237(c) 247 (d) 217
16. BD, FH, JL, NP, ?(a) PQ (b) RS(c) SU (d) RT
17. Which one of the letters when sequentially placed at thegaps in the given letter series shall complete it?m_ _ l m _ l _ m m _ l(a) mllml (b) mlmll(c) llmlm (d) mmlml
18. Pointing towards a woman in a photograph Vijay said, “Sheis the daughter of the father of sister of my brother”. How isthe lady in the photograph related to Vijay?(a) Wife (b) Mother(c) Sister (d) Daughter
19. Rajiv is the brother of Arun. Sonia is the sister of Sunil.Arun is the son of Sonia. How is Rajiv related to Sunil?(a) son (b) brother(c) father (d) nephew
20. Which number is wrong in the series?5, 11, 23, 47, 96(a) 47 (b) 23(c) 96 (d) 11
21. Among 5 boys, Vasant is taller than Manohar, but not as tallas Raju. Jayant is taller than Dutta but shorter than Manohar.Who is the tallest in the group?(a) Manohar (b) Vasant(c) Jayant (d) Raju
DIRECTIONS (Qs. 22 & 23) : From the given alternatives selectthe word which cannot be formed using the letters of the givenword.22. TEACHER
(a) REACH (b) EATER(c) EARTH (d) TRACTOR
23. REASONABLE(a) NOBLE (b) BONES(c) BRAIN (d) ARSON
SSCCombined Higher Secondary Level Exam-2012
Held on 04-11-2012
Time : 2 Hours Max. Marks : 200
2012 - 2 Combined Higher Secondary Level Exam
24. If PALE is written as RCNG, how can LEAP be written in thatcode?(a) NGCR (b) RCGN(c) CRNG (d) NCRG
25. If ‘POST’ is coded as ‘KLHG’, how is ‘NURS’ coded as?(a) MGJH (b) MGJH(c) MFIH (d) MFIG
26. If GARMENT is written as 202691422137, how is INDULGEwritten in that code?(a) 9144211275 (b) 914211275(c) 1813326152022 (d) 1813236152022
DIRECTIONS (Qs. 27 - 29) : Select the missing number/letterfrom the given responses.27. ? 3
9. 5(a) 14 (b) 15(c) 12 (d) 13
28. R Q LS P MT ? N(a) O (b) R(c) W (d) V
29. 7 6 1510 ? 1235 12 90(a) 9 (b) 4(c) 25 (d) 11
30. If ‘+’ means ‘¸’ ; ‘¸’ means ‘–’ ; ‘–’ means ‘×’ ; ‘×’ means ‘+’,then8 + 2 ̧ 3 – 4 × 6 = ?(a) –12 (b) –2(c) –10 (d) –15
31. Choose the appropriate combination of signs to solve.16 * 8 * 1 * 8(a) = – + (b) – ÷ =(c) + – = (d) + = –
32. The percentage of Laptop users are increasing year afteryear in India. Find out the percentage of Laptop users forthe year 2011 from the following information.
Year 2006 2007 2008 2009 2010 2011No. of users (%) 4 8 16 28 44 ?
(a) 62 (b) 64(c) 66 (d) 60
33. Raghu starts from his house in his car and travels 8 kmtowards the North, then 6 km towards East then 10 m towardshis right, 4 km towards his left, 10 km towards North andfinally 4 km towards his right. In which Directions is he nowwith reference to the starting point?(a) South (b) North East(c) South East (d) North
34. Four students ABCD are sitting one each of the four cornersof a square all facing the centre of the square. The studentE sitting at the centre is facing only C and the student A issitting facing the back of E. If D is sitting on the right of E,where B will be sitting to E?(a) B is sitting on the left of E(b) B is to the back of E(c) A is facing B and E(d) B is on the right of E
DIRECTIONS (Qs. 35 - 37) : Two statements are given followedby two conclusions I and II. You have to consider the statementsto be true even if they seem to be at variance from commonlyknown facts. You have to decide which of the given conclusions,if any, follow from the given statements.35. Statements:
(1) Best performance in Olympics fetches a gold medal.(2) Player ‘X’ got gold medal but later was found to be
using a prohibited drug.Conclusions:(I) ‘X’ should be allowed to keep the to gold medal.(II) Gold medal should be withdrawn and given to the next
person.(a) Only conclusion (II) follows(b) Neither conclusion (I) nor (II) follows(c) Both conclusions (I) and (II) follow(d) Only conclusion (I) follows
36. Statements:(1) All books are novels.(2) Some novels are poems.Conclusions:(I) Some books are poems.(II) Some poems are novels.(a) Only conclusion (II) follows(b) Neither conclusion (I) nor (II) follows(c) Both conclusions (I) and (II) follow(d) Only conclusion (I) follows
37. Statements:No children are voters.Conclusions:(I) No adults are voters.(II) No voters are children.(a) Only conclusion (II) follows(b) Both conclusions (I) and (II) follow(c) Neither conclusion (I) nor (II) follows(d) Only conclusion (I) follows
38. In the following figure, how many educated people areemployed ?
35
6
7
Educatedpeople
Backward peopleEmployed people
11
17
8
Employed people
Backward people
Educated people
(a) 18 (b) 20(c) 15 (d) 9
39. A dice is thrown four times and its four different positionsare given below. Find the number on the face opposite theface showing 2.
432
321
453
426
(a) 4 (b) 5(c) 6 (d) 3
2012 Solved Paper 2012 - 3
40. From the following two different appearance of a dice, whichnumber lies to the opposite of 2 ?
1 45
2 15
(a) 1 (b) 4(c) 6 (d) 5
41. Which of the answer figure indicates the best relationshipbetween milk, goat, cow, hen ?Answer figures :
(a) (b)
(c) (d)
42. Identify the figure which best represents the relationshipamong Tree, Plant, and House.Answer figures :
(a) (b)
(c) (d)
DIRECTIONS (Qs. 43 - 44) : Which answer figure completes thepattern given in the question figure?43. Question figure :
?
Answer figures :
(a) (b)
(c) (d)
44. Question figure :
?
Answer figures :
(a) (b)
(c) (d)
45. From the given answer figures, select the one in which thequestion figure is hidden/embedded.Question figure :
Answer figures :
(a)
(b)
(c)
(d)
46. How many triangles are there in this figure?Question figure :
(a) 24 (b) 26(c) 28 (d) 20
47. If a square paper is folded as shown in the question figuresand then folded paper is punched. What will be the patternon opening the paper ?Question figures :
Paper First fold Second fold Punched® ® ®
Answer figures :
(a) (b)
(c) (d)
2012 - 4 Combined Higher Secondary Level Exam
48. Find out the mirror image of the given figure.Question figure :
Answer figures :
(a) (b)
(c) (d)
49. Identify the missing figure to complete the matrix.Question figure :
?
Answer figures :
(a) (b)
(c) (d)
50. A square sheet of paper has been folded and punched asshown in the question figure. You have to figure out fromamongst the four answer figures, how it will appear whenopened?Question figure :
Answer figures :
(a) (b)
(c) (d)
ENGLISH LANGUAGE
DIRECTIONS (Qs. 51 - 56) : Some parts of the sentences haveerrors and some have none. Find out which part of a sentencehas an error and mark the appropriate answer. If a sentence isfree from error, then mark answer (d).51.
( )It was he who
a/
( )came running in the house
b/
( )with the news about the earthquake.
c/
( )No Error.
d
52.( )
Her mother does not approve ofa
/( )
her to go to the partyb
/
( )without dressing formally.
c/
( )No Error.
d
53.( )
Riding across the battle fielda
/( )
the famous Bhishmb
/
( )saw a large number of dead warriors.
c/
( )No Error.
d
54.( )
My Aunta
/( )
was firstb
/( )
to get a degreec
/( )
No Error.d
55.( )
Padmini had not rarely misseda
/
( )a dance performance or festival since
b/
( )she was eight years old.
c/
( )No Error.
d
56.( )
Krupa and Kavya studieda
/( )
in the Delhi Public Schoolb
/
( )and so does Kamya.
c/
( )No Error.
dDIRECTIONS (Qs. 57 - 61) : Sentences are given with blanks tobe filled in with an appropriate word(s). Four alternatives aresuggested for each question. Choose the correct alternative outof the four:57. Let us quickly __________.
(a) muddle (b) huddle(c) hurdle (d) puddle
58. Rajesh’s car wasn’t __________ Ramesh’s, so we were tooexhausted by the time we reached home.(a) such comfortable (b) as comfortable as(c) comfortable enough (d) so comfortable that
59. I don’t suppose that Pramod will be elected __________how hard he struggles as he is not completely supported bythe committee.(a) although (b) seeing as(c) no matter (d) however
60. Regular exercise is conducive__________ heath.(a) in (b) to(c) for (d) of
61. Can you please __________ my web site just before Ipublish it ?(a) find out (b) go through(c) set out (d) look up
2012 Solved Paper 2012 - 5
DIRECTIONS (Qs. 62 - 64) : Out of the four alternatives, choosethe one which best expresses the meaning of the given word andmark it in the Answer Sheet.62. Apprise :
(a) Praise (b) Inform(c) Conceal (d) Assess
63. Periodic :(a) Infrequent (b) Continuous(c) Occasional (d) Regular
64. Gruesome :(a) Sullen (b) Hideous(c) Exhausting (d) Insulting
DIRECTIONS (Qs. 65 - 67) : Choose the word opposite inmeaning to the given word and mark it in the Answer sheet.65. Knack :
(a) Talent (b) Dullness(c) Dexterity (d) Balance
66. Pernicious :(a) Prolonged (b) Ruinous(c) Ruthless (d) Beneficial
67. Opulence :(a) Luxury (b) Transparency(c) Weath (d) Poverty
DIRECTIONS (Qs. 68 - 72) : Four alternatives are given for theIdiom/Phrase bolded in the sentence. Choose the alternativewhich best expresses the meaning of the Idiom/Phrase and markit in the Answer Sheet.68. I could have continued my higher studies if I wanted but,
that’s water under the bridge.(a) somthing I cannot change(b) the time I met with an accident near the bridge(c) something my family did not want(d) the time I went on a cruise
69. My parents want me to study science, but I will stick to myguns and graduate in Economics.(a) prefer to disobey them(b) hold on to my decision(c) refuse to listen to them(d) show them that they are wrong
70. The manager dismissed the proposal out of hand and saidthat it was not at all practical.(a) completely (b) directly(c) simply (d) quickly
71. The people of this village are the salt of the earth.(a) rich (b) educated(c) quarrelsome (d) kind
72. He accused her of talking through her hat and refused toaccept a word of what she said.(a) talking straight (b) talking nonsense(c) talking tough (d) talking sense
DIRECTIONS (Qs. 73 - 79) : A part of the sentence is bolded.Below are given alternatives to the bolded part at (a), (b) and (c)which may improve the sentence. Choose the correct alternative.In case no improvement is needed your answer is (d).73. The trek is difficult but it is worth well the endeavour.
(a) well worth the endeavour(b) worth the endeavour well(c) the endeavour well worth(d) No improvement
74. The manager was given a holiday and so he decided to goto the hitch-hiking.(a) for the hitch-hiking(b) for hitch-hiking(c) hitch-hiking(d) No improvement
75. Goaded to frenzy, the bull charged its tormentors.(a) the tormentors were charged by the bull(b) the tormentors were being charged by the bull(c) the bull charged on its tormentors(d) No improvement
76. The war was a time of tribulations for all of us.(a) intimacy (b) placidity(c) stupidity (d) No improvement
77. The temptations that bestow young people today are ruiningthem.(a) appeal (b) beset(c) confront (d) No improvement
78. We kept all the old paintings in a place where they wouldremain safe from harm or danger.(a) will remain safe (b) are safe(c) may remain safe (d) No improvement
79. The tragedy is reflection of an episode that took place adecade ago.(a) rendition(b) reincarnation(c) reminiscent(d) No improvement
DIRECTIONS (Qs. 80 - 83) : Out of the four alternatives choosethe one which can be substituted for the given sentences.80. Someone who scientifically studies the birds:
(a) earthologist (b) orthopeadic(c) orthodondist (d) ornithologist
81. Something which is imagined to be real but actually doesnot exist.(a) figment (b) insight(c) mirage (d) shadow
82. Someone having many skills:(a) versatile (b) projectile(c) cyclostyle (d) anglophile
83. To officially take private property away to seize.(a) offer (b) confiscate(c) annex (d) hijack
DIRECTIONS (Qs. 84 - 85) : There are four words out of whichone is correctly spelt. Find the correctly spelt word :84. (a) Manoeuvre (b) Manueover
(c) Manuovere (d) Maneouvre85. (a) Venerable (b) Vanerable
(c) Veneruble (d) VenarableDIRECTIONS (Qs. 86 - 100) : You have following two briefpassages with 10 questions in Passage-I and 5 questions inpassage-II. Read the passages carefully and fill up the blankswith suitable words out of the four alternatives given.
PASSAGE - IParents tend to spoil their own children either by overindulgence
or by deprivation. Childhood should be the time for (86) from
2012 - 6 Combined Higher Secondary Level Exam
primary selfishness to sharing, for learning to (87) with
deprivation and disappointment and learning to (88) failure,since breaking a toy and forgetting a homework assignment
are (89) serious than breaking a marriage or forgetting to
prepare for career advancement. But (90) deprivation, as is
common in (91) families, leaves many children (92) thestage of personal gratification. They lack resources for developing
a sense of (93) towards others and a wish to care for them.
And children (94) be poor to be underprivileged.
The (95) are also deprived, cheated out of learning how toface life.86. (a) changing (b) turning
(c) shifting (d) removing87. (a) cope up (b) adjust
(c) fight (d) cope88. (a) overcome (b) eliminate
(c) remove (d) forget89. (a) far better (b) far less
(c) far worse (d) far more90. (a) much (b) exhaustive
(c) excessive (d) every91. (a) undernourished (b) uncoordinated
(c) uncooperative (d) underprivileged92. (a) stuck in (b) stuck on
(c) stuck about (d) stick in93. (a) gratitude (b) responsibility
(c) concern (d) friendship94. (a) would not (b) should not
(c) need not (d) had not95. (a) over confident (d) over cautious
(c) over enthusiastic (d) over indulgedPASSAGE - II
Auctions are public (96) of goods, conducted by
an (97) auctioneer. He encourages buyers to (98) higher
prices and finally names the (99) bidder as the buyer of thegoods. This is called ‘knocking down’ the goods, for when the
bidding ends the auctioneer (100) a small hammer on a tablein front of him.96. (a) sale (b) marketing
(c) promotion (d) viewing97. (a) authoritative (b) allowed
(c) authentic (d) approved98. (a) bid (b) buy
(c) get (d) bargain99. (a) smartest (b) highest
(c) biggest (d) strongest100. (a) bangs (b) thrashes
(c) smashes (d) hits
QUANTITATIVE APTITUDE101. The difference between the interests received from two
different banks on ̀ 500 for 2 years is ` 2.50. The differencebetween their rates is:(a) 0.5% (b) 2.5%(c) 0.25% (d) 1%
102. If x y z
b c c a a b= =
+ + +, then :
(a)x y y z z xb a c b a c- - -
= =- - -
(b)x y za b c= =
(c)x y y z z x
c b a- - -
= =
(d) none of the above is true103. The length and breadth of a square are increased by 30%
and 20% respectively. The area of the rectangle so formedexceeds the area of the square by:(a) 46% (b) 66%(c) 42% (d) 56%
104. The volume of a cubical box is 3.375 cubic meters. The lengthof edge of the box is:(a) 75 cm (b) 1.5 m(c) 1.125 m (d) 2.5 m
105. A can do a piece of work in 20 days which B can do in 12days. B worked at it for 9 days. A can finish the remainingwork in :(a) 5 days (b) 7 days(c) 11 days (d) 3 days
106. A batsman in his 12th innings makes a score of 63 runs andthere by increases his average scores by 2. What is hisaverage after the 12th innings?(a) 13 (b) 41(c) 49 (d) 87
107. The length of a minute hand of a clock is 7 cm. The areaswept by the minute hand in 30 minutes is:(a) 210 sq. cm (b) 154 sq. cm(c) 77 sq. cm (d) 147 sq. cm
108. A man walks ‘a‘ km in ‘b’ hours. The time taken to walk 200metres is:
(a)200b hours
a(b)
b hours5a
(c)b hoursa
(d)ab hours
200109. The circumference of the base of a 16 cm height solid cone
is 33 cm. What is the volume of the cone in cm³ ?(a) 1028 (b) 616(c) 462 (d) 828
110. If 2sin cos 1cos sin
q - q=
q + q, then value of cotq is:
(a)12
(b)13
(c) 3 (d) 2
2012 Solved Paper 2012 - 7
111. A principal of ̀ 10,000, after 2 years compounded annually,the rate of interest being 10% per annum during the firstyear and 12% per annum during the second year (in rupees)will amount to:(a) 12,000 (b) 12,320(c) 12,500 (d) 11,320
112. If 547.527 x0.0082
= , then the value547527
82 is :
(a) 10x (b) 100x
(c)x
100(d)
x10
113. A train 100 metres long meets a man going in opposite
Directions at 5 km/hr and passes him in1
75
seconds. What
is the speed of the train in km/hr ?(a) 45 km/hr (b) 60 km/hr(c) 55 km/hr (d) 50 km/hr
114. A man sold two articles at ̀ 375 each. On one, he gains 25%and on the other, he loses 25%. The gain or loss% on thewhole transaction is :
(a) 6% (b)1
4 %6
(c) ` 50 (d)1
6 %4
115. A team played 40 games in a season and won in 24 of them.What percent of games played did the team win ?(a) 70% (b) 40%(c) 60% (d) 35%
116. A bought an article, paying 5% less than the original price.A sold it with 20% profit on the price he had paid. Whatpercent of profit did A earn on the original price ?(a) 10 (b) 13
(c) 14 (d)172
117. ABC is a right angled triangle, right angled at C and p is thelength of the perpendicular from C on AB. If a, b and c arethe lengths of the sides BC, CA and AB respectively, then
(a) 2 2 21 1 1
p b a= -
(b)2 2 2
1 1 1p a b
= +
(c) 2 2 21 1 1
p a b+ =
(d) 2 2 21 1 1
p a b= -
118. Diagonal of a cube is 6 3 cm. Ratio of its total surface areaand volume (numerically) is:(a) 2 : 1 (b) 1 : 6(c) 1 : 1 (d) 1 : 2
119. The ratio of the edges of rectangular parallelopiped is1 : 2 : 3 and its volume is 1296 cubic cm. The area of thewhole surface in sq. cm is :(a) 696 (b) 792(c) 824 (d) 548
120. The perimeter of a semi-circular area is 18 cm, then the radius
is : (using 227
p = )
(a) 15 cm3
(b)1
3 cm2
(c) 6 cm (d) 4 cm121. The profit percent of a bookseller if he sells book at marked
price after enjoying a commission of 25% on marked pricewill be:(a) 30% (b) 25%
(c) 20% (d)1
33 %3
122. If 3 n3 27= , then the value of n is:(a) 9 (b) 6(c) 1 (d) 3
123. From 9.00 AM to 2.00 PM, the temperature rose at a constantrate from 21ºC to 36ºC. What was the temperature at noon ?(a) 27ºC (b) 30ºC(c) 32ºC (d) 28.5ºC
124. The average of four consecutive even numbers is 9. Findthe largest number.(a) 12 (b) 6(c) 8 (d) 10
125. In a school, the ratio of boys to girls is 4 : 3 and the ratio ofgirls to teachers is 8 : 1. The ratio of student to teachers is :(s) 56 : 3 (b) 55 : 1(c) 49 : 3 (d) 56 : 1
126. If 3x 5 25x 2 3
+=
-, then the value of x is :
(a) 11 (b) 19(c) 23 (d) 7
127. The minute hand of a big wall-clock is 35 cm long. Taking
227
p = , length of the arc, its extremity moves in 18 seconds
is :(a) 11 cm (b) 1.1 cm(c) 6.6 cm (d) 6 cm
128. The Banker’s discount on a bill due 6 months hence at 16%per annum is ̀ 216.The true discount is:(a) ` 212 (b) ` 180(c) ` 210 (d) ` 200
129. The average weight of 12 crewmen in a boat is increased by
13
kg, when one of the crewmen whose weight is 55 kg is
replaced by a new man. What is the weight of that newmen ?(a) 58 (b) 60(c) 57 (d) 59
2012 - 8 Combined Higher Secondary Level Exam
130. If DABC is an isosceles triangle with ÐC = 90º and AC = 5cm, then AB is :(a) 5 cm (b) 10 cm
(c) 5 2 cm (d) 2.5 cm131. The length of the two sides forming the right angle of a
right-angled triangle are 6 cm and 8 cm. The length of itscircum-radius is :(a) 5 cm (b) 7 cm(c) 6 cm (d) 10 cm
132. If the difference of two numbers is 3 and the difference oftheir squares is 39; then the larger number is :(a) 9 (b) 12(c) 13 (d) 8
133. If x 3 2= + , then the value of 33
1x
x- is :
(a) 14 2 (b) 14 3
(c) 22 2 (d) 10 2134. The printed price of a book is ̀ 320. A retailer pays ̀ 244.80
for it. He gets successive discounts of 10% and an anotherrate. His second rate is :(a) 15% (b) 16%(c) 14% (d) 12%
135. If tan 32 2p qæ ö- =ç ÷è ø
, value of cos q is:
(a) 0 (b)12
(c)12
(d) 1
136. A, B and C are batsmen. The ratio of the runs scored bythem in a certain match are given below:A : B = 5 : 3 and B : C = 4 : 5. In all they scored 564 runs. Thenumber of runs scored by B is:(a) 124 (b) 104(c) 114 (d) 144
137. The length of radius of a circumcircle of a triangle havingsides 3 cm, 4 cm and 5 cm is:(a) 2 cm (b) 2.5 cm(c) 3 cm (d) 1.5 cm
138. If 125% of x is 100, then x is :(a) 80 (b) 150(c) 400 (d) 125
139. A is thrice as good a workman as B and takes 60 days lessthan B for doing a job. The time in which they can do ittogether is:(a) 15 days (b) 30 days
(c) 1222
days (d) 60days
140. A sells an article to B at a gain of 10% , B sells it to C at a gainof 5%. If C pays ̀ 462 for it, what did it cost to A ?(a) ` 500 (b) ` 450(c) ` 600 (d) ` 400
DIRECTIONS (Qs. 141 - 145) : Read the following chart andanswer the questions that follows :The following pie-chart shows the preference of musicalinstruments of 60,000 people surveyed over whole India.
Flute 11%Sitar 14%
Violin 20%
Miscellaneous10% Piano 9%
Sarod 14%
Guitar 22%
141. If 2100 people be less from the number of people who preferFlute, the percentage of people who prefer Flute would havebeen:(a) 9.5% (b) 6.5%(c) 7.5% (d) 8.5%
142. The total number of people who prefer either Sarod or Guitar,is greater than the total number of people who prefer eitherViolin or Sitar by :(a) 1200 (b) 1600(c) 1100 (d) 1400
143. The number of people who prefer the musical instrumentSarod is :(a) 7400 (b) 8400(c) 6400 (d) 8600
144. If 216 %3
of the people who prefer Piano, would go with the
people who prefers Flute, the percentage of people whoprefer Flute would have been :(a) 13.5% (b) 14.5%(c) 15.5% (d) 12.5%
145. The number of people who prefer Guitar is greater than thetotal number of people who prefer either Flute or Piano by :(a) 1200 (b) 1100(c) 1300 (d) 1400
DIRECTIONS (Qs 146 - 150) : Study the graph and answer thequestions that follows :Circle graph given below shows the expenditure incurred inbringing out a book by a publisher.
Cost of Printing35%
Bin
ders
cha
rges
12%
Cost of paper
16%
Royalty 15%
Misc 4%Adv. Charges
18%
2012 Solved Paper 2012 - 9
146. The central angle of the sector for the cost of the paper is :(a) 22.5º (b) 16º(c) 54.8º (d) 57.6º
147. Royalty on the book is less than the Advertisement chargesby:(a) 3% (b) 25%
(c) 20% (d)2
16 %3
148. If 5500 copies are published, Miscellaneous expendituresamounts to ̀ 1848 and publisher’s profit is 25%, then markedprice of each copy is :(a) ` 12.50 (b) ` 10.50(c) ` 10 (d) ` 8.40
149. If the cost of printing is ̀ 17,500, the Royalty is:(a) ` 8750 (b) ` 6300(c) ` 7500 (d) ` 3150
150. If the Miscellaneous charges is ̀ 6,000, the Advertisementcharges are:(a) ` 27,000 (b) ` 90,000(c) ` 12,000 (d) ` 1,333.33
GENERAL AWARENESS151. Earth received heat from the sun is known as:
(a) Insolation (b) Infrared heat(c) Solar radiation (d) Thermal radiation
152. The use of which of the following regional languages waspopularised by the Bhakti leader, Shankaradeva ?(a) Bengali (b) Brijbhasha(c) Avadhi (d) Assamese
153. Which part of the plant is used as 'saffron'?(a) Petals (b) Stamens(c) Style and Stigma (d) Sepals
154. Suspended colloidal particles in the water can be removedby the process of :(a) Filtration (b) Adsorption(c) Absorption (d) Coagulation
155. Grave's disease is caused due to:(a) hyperactivity of thyroid(b) hypoactivity of thymus(c) hypoactivity of thyroid(d) hyperactivity of thymus
156. The Mansabdari system was introduced by:(a) Shah Jahan (b) Jahangir(c) Babur (b) Akbar
157. Open market operation refers to :(a) borrowing by scheduled banks to industry and trade(b) purchase and sale of government securities by the rbi(c) deposit mobilisation(d) borrowing by scheduled banks from the RBI
158. Who is the Government of West Bengal ?(a) B.L. Joshi (b) M. K. Narayana(c) Shivraj Patil (d) Margaret Alva
159. When and by whom were the Asokan inscriptionsdeciphered for the first time ?(a) 1787 - John Tower (b) 1825 - Charles Metcalfe(c) 1837 - James Prinsep (d) 1810 - Harry Smith
160. Which of the following is not a characteristic of the Indianeconomy ?(a) primacy of agriculture(b) balance between heavy industry and wage goods.(c) population pressure(d) low per capita income
161. How many cricketers, who have represented India in testmatches, are presently Lok Sabha members ?(a) Two (b) One(c) Nil (d) Three
162. Which one of the following was created by the 'Pitt's IndiaAct' ?(a) Board of Control (b) Board of Revenue(c) Standing Council (d) Court of Directors
163. Which day is observed as “International Day of Non-Violence”(a) 1 st May (b) 2 nd October(c) 24 th October (d) 30 th January
164. A white solid ‘A’ on heating gives off a gas which turns limewater milky. The residue is yellow when hot but turns whiteon cooling. The solid A is:(a) Zinc Carbonate (b) Lead Sulphate(c) Lead Carbonate (d) Zinc Sulphate
165. Which of the following is the strongest coagulant ?(a) Zinc Chloride (b) Aluminium Chloride(c) Barium Chloride (d) Magnesium Sulphate
166. Which country is the largest producer of wool ?(a) U.S.A. (b) Australia(a) Britain (d) Canada
167. The property which is seen in light wave but not in soundwave is :(a) Diffraction (b) Refraction(c) Polarization (d) Interference
168. Iron and manganese are removed in water by the processof :(a) Chlorination (b) Filtration(c) Lime-soda treatment (d) Aeration
169. CPU performance is often measured in:(a) MHz (b) MIPS(c) Band rate (d) G B
170. To promote and popularise which game in India, anotherIndian League Tournament was launched in 2011 on thelines of IPL ?(a) Volley Ball (b) Hockey(c) Basket Ball (d) Soccer
171. Which enzyme is obtained from Red gram ?(a) Zymase (b) Maltase(c) Diastase (d) Urease
172. Term 'Federal' has been used in the Indian Constitution in:(a) Part-III(b) Article-368(c) Nowhere in the Constitution(d) Preamble
173. Which one of the following African countries in not amember of OPEC ?(a) Angola (b) Libya(c) South Africa (d) Algeria
2012 - 10 Combined Higher Secondary Level Exam
174. Who are the price-takers under Perfect Competition ?(a) industry (b) government(c) firms (d) buyers
175. Roger Federer won the seventh Wimbledon title in 2012 Inwhich year, he won the sixth Wimbledon title ?(a) 2009 (b) 2010(c) 2011 (d) 2008
176. An employment situation where the marginal productivityof agricultural labour is zero is known as :(a) Seasonal unemployment(b) Cyclical unemployment(c) Disguised unemployment(d) Disguised unemployment
177. The indentations on CDs and DVDs are called:(a) pits (b) clusters(c) tracks (d) lands
178. Spot the odd item in the following:(a) Red sea (b) Black sea(c) Caspian sea (d) Dead sea
179. Which one of the following items comes under theConcurrent List ?(a) Trade Unions (b) Citizenship(c) Local Government (d) Inter-State rivers
170. A radioactive substance has a half-life of four months.Three-fourth of the substance will decay in:(a) 8 months (b ) 12 months(c) 4 months (d) 6 months
181. Which one of the following National Park/Sanctuary is notin Rajasthan ?(a) Sariska National Park(b) Sambar Wildlife Sanctuary(c) Rajaji National Park(d) Rhanthambore National Park
182. Which country will host the next meet of CHOGM(Commonwealth Heads of Government Meet) in 2013 ?(a) England (b) Mauritius(c) Sri Lanka (d) India
183. Chiropterophily means:(a) production of flowers (b) pollination by wind(c) pollination by bat (d) production of leaves
184. Which one of following is called the primary pace maker ofthe heart ?(a) A. V. Node (b) Chordae tendinae(c) A.V. Septum (d) S.A. Node
185. When granite rocks get metamorphosed, they change into :(a) Felspar (b) Gneiss(c) Quartzite (d) Marble
186. Which one among the following is a solid lubricant ?(a) Germanium (b) Sulphur(c) Graphite (d) Indium
187. Lakshmibai National Institute of Physical Education (LNIPE)is in:(a) Patiala (b) Gwalior(c) Indore (d) Jhansi
188. The concept of 'Carbon credit' originated from :(a) Earth Summit, Rio-de-Janerio(b) Kyoto Protocol(c) Montreal Protocol(d) None of the above
189. Which Amendment of the Constitution deals with Politicaldefections ?(a) 50th (b) 52th(c) 60th (d) 44th
190. Which schedule of the Indian Constitution prescribesdistribution of seats in Rajya Sabha ?(a) 4th schedule (b) 5th schedule(c) 6th schedule (d) 3rd schedule
191. Who said in the Constituent Assembly that the DirectivePrinciples of the State Policy are like a 'Cheque on a bankpayable at the convenience of the bank' ?(a) K.M. Munshi (b) B.R. Ambedkar(c) Austin (d) K. T. Shah
192. Longest cell in human body is:(a) Blood cell (b) Bone cell(c) Nerve cell (d) Muscle cell
193. Which of the following is associated with Panchayati Raj ?(a) Nanavati Commission(b) Balwant Rai Mehta Committee(c) Librahan Commission(d) Shah Commission
194. The acid rain destroys the vegetation because it contains:(a) Ozone (b) Carbon monoxide(c) Sulphuric acid (d) Nitrates
195. Activated sludge treatment is called:(a) Preliminary treatment (b) Biological treatment(c) Pre treatment (d) Chemical treatment
196. Amuktamalyada is the work of :(a) Krishnadeva Raya (b) Vachcharaj(c) Kharavela (d) Allasani Peddana
197. Caustic soda is :(a) deliquescent (b) oxidant(c) reductant (d) efflorescent
198. Red light is used in traffic signal for stopping the trafficbecause:(a) eye is more sensitive to red light.(b) it is least scattered and hence can be easily noticed
from long distance.(c) it is very pleasant to the eye.(d) it is visible even to longsighted people.
199. Programs which protect a disk from an infection are calledas :(a) Vaccines (b) Antidotes(c) Library routines (d) Interpreters
200. Which one of the following is a raw material orientedindustry ?(a) Sugar industry(b) Petroleum refinery(c) Light engineering industry(d) Ship building
2012 Solved Paper 2012 - 11
Hints & ExplanationsGENERAL INTELLIGENCE
1. (a) Fresco is an art of painting that is done on freshlyspread moist lime plaster.
3. (b) 27 : 125 : : 64 : 216¯ ¯ ¯ ¯33 53 43 63
+2 +2
4. (d)¯ ¯ ¯ ¯A B : L : : B C : W
¯1 2 12 2 3
¯23Place value
5. (c) B D G J : O Q T W +13+13
+13+13
: : A F I M : N S V G
+13
+13+13+13
6. (b) 82 – 2 = 6292 – 2 = 79
7. (c) All are parts of car.8. (d) All are divisible by 5 except 256.
9. (a) N L M ;
+1
+1
Y X Z ;
+1
+1
N M O ;
+1
+1
R Q S
+1
+1
10. (d) All are planets except sun.
11. (b) 412 48´¾¾® ; 318 54´¾¾® ; 416 64´¾¾® ;
414 56´¾¾®13. (d) The correct order is :
Cow ® Grass ® Milk ® Curd ® Butter14. (a) The correct order is :
Field ® Grain ® Rat® Snake ® Eagle
15. (a) + 23 113+ 33 38
+ 43 102+ 53 227
+ 63 443
16. (d) D ; F H ; J L ; N P ; R TB
+2 +2 +2 +2 +2
+2 +2 +2 +2
17. (b) m m l lm m l lm m l l
18. (c) Sister of my brother = My sisterFather of my sister = My fatherDaughter of my father = My sister
19. (d) Sonia
Arun Rajiv
Sunil
Brother
Sister Male
Female
Therefore, Rajiv is nephew of Sunil.
1 (a) 21 (c) 41 (c) 61 (b) 81 (a) 101 (d) 121 (d) 141 (c) 161 (d) 181 (c)2 (b) 22 (d) 42 (c) 62 (b) 82 (a) 102 (a) 122 (a) 142 (a) 162 (a) 182 (c)3 (b) 23 (c) 43 (a) 63 (d) 83 (b) 103 (d) 123 (b) 143 (b) 163 (b) 183 (c)4 (d) 24 (a) 44 (b) 64 (b) 84 (a) 104 (b) 124 (a) 144 (d) 164 (a) 184 (d)5 (c) 25 (c) 45 (c) 65 (b) 85 (a) 105 (a) 125 (a) 145 (a) 165 (b) 185 (b)6 (b) 26 (d) 46 (c) 66 (d) 86 (c) 106 (b) 126 (b) 146 (d) 166 (b) 186 (c)7 (c) 27 (b) 47 (b) 67 (d) 87 (d) 107 (c) 127 (b) 147 (d) 167 (c) 187 (b)8 (d) 28 (a) 48 (b) 68 (a) 88 (a) 108 (b) 128 (d) 148 (b) 168 (d) 188 (b)9 (a) 29 (b) 49 (a) 69 (b) 89 (b) 109 (c) 129 (d) 149 (c) 169 (b) 189 (b)
10 (d) 30 (b) 50 (d) 70 (a) 90 (c) 110 (a) 130 (c) 150 (a) 170 (a) 190 (a)11 (b) 31 (b) 51 (b) 71 (d) 91 (d) 111 (d) 131 (a) 151 (a) 171 (d) 191 (d)12 (a) 32 (b) 52 (b) 72 (b) 92 (a) 112 (d) 132 (d) 152 (d) 172 (c) 192 (c)13 (d) 33 (b) 53 (d) 73 (a) 93 (b) 113 (a) 133 (c) 153 (c) 173 (c) 193 (b)14 (a) 34 (a) 54 (b) 74 (c) 94 (c) 114 (d) 134 (a) 154 (d) 174 (c) 194 (c)15 (a) 35 (a) 55 (a) 75 (d) 95 (d) 115 (c) 135 (c) 155 (a) 175 (a) 195 (b)16 (d) 36 (a) 56 (c) 76 (d) 96 (a) 116 (c) 136 (d) 156 (d) 176 (c) 196 (a)17 (b) 37 (a) 57 (b) 77 (b) 97 (d) 117 (b) 137 (b) 157 (b) 177 (c) 197 (a)18 (c) 38 (d) 58 (b) 78 (d) 98 (a) 118 (c) 138 (a) 158 (b) 178 (a) 198 (b)19 (d) 39 (b) 59 (c) 79 (c) 99 (b) 119 (b) 139 (c) 159 (c) 179 (a) 199 (a)20 (c) 40 (b) 60 (b) 80 (d) 100 (a) 120 (b) 140 (d) 160 (b) 180 (a) 200 (a)
ANSWER KEY
2012 - 12 Combined Higher Secondary Level Exam
20. (c) 11,5 , 23, 47, 96
5 ×2 + 1 11 × 2 + 1 23 × 2 + 1 47 × 2 + 1
95
21. (d) According to given condition; the correct order is :Raju > Vasant > Manohar > Jayant > Dutta\ Raju is the tallest among them.
22. (d) TRACTOR is the word which cannot formed from thegiven word as T does not comes twice in the originalword.
23. (c) ‘I’ is not appearing in the word ‘REASONABLE’.Hence BRAIN cannot formed from the given word.
24. (a) P A L E+1 +1 +1 +1
R C N GSimilarly, L E A P
+1 +1 +1 +1N G C R
25. (c) 16 15 19 20P O S T
K L H G16 15 19 20
In forward direction,when A is taken as 1.
In reverse direction,when Z is taken as 1.
14 21 18 19N U R S
M F I H14 21 18 19
\
26. (d) This question comes under the category of sum 27.Here G’s position is written in reverse order.Therefore, G A R M E N T
20 26 9 14 22 13 7Similarly, I N D U L G E
18 13 23 6 15 20 2227. (b) 315
×3 ×3
9 5
28. (a) R Q L
S P M
+1
+1 +1 +1
+1 +1 +1T O N+1
29. (b) 7 × (10 ̧ 2) = 3515 × (12 ̧ 2) = 90Similarly, 6 × (x ̧ 2) = 12
Þx6 122
´ =
Þ 3x = 12\ x = 12 ̧ 3 = 4
30. (b) 8 + 2 ̧ 3 – 4 × 6Þ 8 ¸ 2 – 3 × 4 + 6Þ 4 – 12 + 6Þ –2
31. (b) 16 – 8 ̧ 1 = 8
32. (b) Year 2006
4
2007
8
2008
16
2009
28
2010
44
2011
64No. of user
+4 +8 +12 +16 +20
33. (b)
Home
8 km 10
km
6 km 4 km
4 km
10 k
m
34. (a) E
B C
DA
36. (a)
Novels
Books Poems
Poems
I. FalseII. True
37. (a) Voters Children
Conclusion :I : FalseII : True
38. (d) 3 + 6 = 939. (b) 1, 3, 4 and 6 are adjacent 2. Therefore number 6 on the
face opposite to 2.
41. (c) Hen
Milk
Cow Goat
42. (c) Plant House
Tree
45. (b)
2012 Solved Paper 2012 - 13
46. (c)
A B
CD
I
J G L
MPK
O
S QVT
E
U H RThere are 28 triangles are in the given figure —EOH, EDH, OFH, HFC, EFD, OGF, GBF, GFH, AGE,EOG, EGF, GEH, AJI, IKE, KGJ, IJK, LBM, PMF, GPL,LMP, RQC, SRH, SFQ, SQR, DTU, EVT, TVU and VUH.
QUANTITATIVE APTITUDE
101. (d) Let r1 and r2 are the rates of interests.So, the difference in S.I
=
principal × time × difference between the rates of interests100
Þ 2.50 =( )1 2500 2 100 r r
100´ ´ -
So, (r1 – r2) = 2.50 100
0.25500 2
´=
´
102. (a) ( )x y zk say
b c c a a b= = =
+ + +So, x = k (b + c)Þ x – y = k (b + c) – k (c + a)
= k (b – a)y = k (c + a)Þ y – z = k (c + a) – k (a + b)
= k (c – b)z = k (a + b) = z – x = k (a + b) – k (b + c) = k (a – c)So,check option (a)x y y z z xb a c b a c
- - -= =
- - -( ) ( ) ( )k b a k c b k a cb a c b a c
- - -= =
- - -k = k = koption (a) is true.
103. (d) Let the side of square = ‘x’Area of square = x2
New length of rectangle = 130
x100
New Breadth of rectangle = 120 x100
Hence, Area of so formed rectangle = 2130 120x
100 100´ ´
2156 x100
=
Therefore, area of rectangle exceeds the area of squareby 56%
104. (b) Volume of cubical box = 3.375 m3
Length of edge of the box = 3 3.375 1.5 m=
105. (a) B’s 1 day work = 1
12
B’s 9 day’s work = 9 3
12 4=
Remaining work = 3 114 4
- =
\ A can finish this work in 204
days = 5 days
106. (b) Let the average of batsman after 11th innings = A
Total score made by batsman at the end of 11th innings A
11=
\ Total score after 11th innings = 11 A
Now,
Total score after 11th innings + score made in 12th innings A 2
12= +
Þ 11A + 63 = (A + 2) × 12Þ 11A – 12 A = 24 – 63Þ A = 3912th innings average = 39 + 2 = 41
107. (c) Angle made by clock in 30 minutes = 180°
\ Area of sector covered by minute hand = 2r360
q´ p
°180 22
7 7 77 sq.cm360 7
°= ´ ´ ´ =
°108. (b) 1 km = 1000 m
D = S × Ta km = S × b hr
S = a 1000
b´
Now, D = 200 m
Time taken = DS
= 200 b
b hrsa 1000 5a
´ =´
109. (c) Circumference = 33 cm2pr = 33
\ r =33 7 212 22 4
´=
´
Volume = 21r h
3p
=1 22 21 16 4623 7 4
´ ´ ´ =
110. (a)2sin cos
1cos sin
q - q=
q + qDividing numerator and denominator by cos q.2sin coscos cos 1cos sincos cos
q q-
q q =q q
+q q
2012 - 14 Combined Higher Secondary Level Exam
Þ 2 tan 1
11 tan
q -=
+ qÞ 2 tan q – 1 = 1 + tan q Þ tan q = 2
Hence, 1 1cot
tan 2q = =
q
111. (d) 1 2r rA P 1 1
100 100æ ö æ ö= + +ç ÷ ç ÷è ø è ø
10 12A 10000 1 1
100 100æ ö æ ö= + +ç ÷ ç ÷è ø è ø
110 112A 10000
100 100æ ö æ ö= ç ÷ ç ÷è ø è ø
A = 12320
112. (d)547.527
x0.0082
=547527 10000
x1000 82
Þ ´ =
547527 x 1000 x82 10000 10
´Þ = Þ
113. (a) Let speed of train = x km/hrDistance travelled by train
= Relative speed of train × Time
100 m = (x + 5) km/hr × 365
seconds
100 km1000
= (x + 5) × 36 1
hrs5 3600
æ ö´ç ÷è øÞ x + 5 = 50\ x = 45 km/hr
114. (d) In such type of question,
Required % loss = ( )225%
100
= 625 1% 6.25% 6 %100 4
= =
115. (c) Required percentage = 24 100 60%40
´ =
116. (c) Required % earned by A
= ( ) ( )100 5 100 20
100 100 %100 100
ì - + ü´ ´ -í ý
î þ
= 95 120
100 100 %100 100
ì ü´ ´ -í ýî þ
= (114 –100)% = 14%117. (b) Here,
ÐACB = 90°ÐADC = 90°ÐBDC = 90°
C
A Bc
ab
D
p
Triangles ACB, ADC and BDC are right angle triangles.Here, Area of DABC = Area of DADC + Area of DBDC
Þ 1 1 1
a b p AD p OB2 2 2
´ = ´ ´ + ´ ´
Þ ab = p (AD + DB)
Þ ab = pc Þ c = abp … (1)
Now, In DABC,
C2 = a2 + b22
2 2ab a bp
æ ö= +ç ÷è ø
Þ 2 2
2 22
a b a bp
= +
2 2 21 1 1
p a b= +
118. (c) Diagonal of a cube = 6 33 × side = 6 3
\ Side of a cube = 6Surface area of cube = 6 × (side)2 = 6 × 62
Volume of cube = (side)3 = (6)3
Required ratio = 2
36 6 1
or 1 : 116
´=
119. (b) Volume of rectangular parallelopiped = 1296Ratio of edges = 1 : 2 : 3\ x, 2x and 3x are length, breadth and height ofparallelopiped respectively.x × 2x × 3x = 1296Þ 6x3 = 1296 Þ x3 = 216
Þ x = 3 216 6=Length = 6, Breadth = 12, Height = 18Required surface area = 2 (lb + bh + hl)= 2 (6 × 12 + 12 × 18 + 18 × 6) = 792 sq.cm
120. (b) Perimeter of a semicircular area = 18 cmperimeter of semicircular = 18 cm
Þ
2 r2r 18
2p
+ =
Þ r (p + 2) = 18
r r
2 r–—2
p
18 18 7 1r 3 cm22 22 14 227
´= = =
++
121. (d) Let MP = 100So, SP = 100 – 25% of 100
= 100 – 25 = 75
So, Profit percent = 100 75
10075-
´
= 25 1 1100% 100 22 %75 3 3
´ = ´ =
122. (a)1
n 33 27é ù =ë û
Þn
333 3=
Comparing, n 33
=
x = 9
2012 Solved Paper 2012 - 15
123. (b) Time difference between 9.00 A.M & 2.00 P.M = 5 hoursTemperature difference between 21°C & 36°C= 36 – 21 = 15°CNow, Time difference between 9.00 A.M & 12.00 Noon= 3 hrs.
In 5 hours temperature
15 Cdifference
¾¾¾¾¾¾® °
So, In 3 hours temperaturedifference
¾¾¾¾¾¾®15
35
æ ö´ç ÷è ø = 9°C
So, temperature at noon = 21 + 9 = 30°C124. (a) Let the consecutive even numbers are 2n, – 2n + 2,
2n + 4 and 2n + 6
Average = 2n 2n 2 2n 4 2n 6
4+ + + + + +
8n + 12 = 4 × 9 Þ n = 3Hence, the numbers are 6, 8, 10 and 21. Largest amongthem is 12.
125. (a) boys : girls4 : 3
girls : teacher8 : 1
So, boys : girls4 : 3
: teacher
8 : 132 : 24 : 3
So, Student : teacherÞ (boys + girls) : teacher
(32 + 24) : 356 : 3
126. (b)3x 5 25x 2 3
+=
-Þ 9x + 15 = 10x – 4Þ 15 + 4 = 10x – 9xÞ x = 19
127. (b) Length of arc in 18 seconds = 18
3600æ öç ÷è ø × circumference
= 18 222 35
3600 7´ ´ ´ = 1.1 cm
128. (d) Let x = true discountSo, 216 x 8% of x
x 0.08x 1.08x216
x 2001.08
= += + =
= = `
129. (d) Short-cut method:Weight of new crewmen= Replace man weight + [No. of crew mewn ×
increased average]
= 155 12 59 kg3
+ ´ =
130. (c) DABC is an isocoles triangle.
Therefore, AC = BC = 5 cm 5 cm
A
C BNow, AB2 = AC2 + BC2
AB2 = 52 + 52 Þ 25 25 5 2 cm+ =
131. (a) In a right angled D, the length of circumradius is halfthe length of hypotenuse.\ H2 = 62 + 82
H2 = 36 + 64 Þ 100H = 10 cm
Circumradius = 5 cm132. (d) Let the numbers are x, y.
x – y = 3 … (1)x2 – y2 = 39Þ (x – y) (x + y) = 39Þ x + y = 13 … (2)Adding eqn (1) and (2)x + y + x – y = 16Þ x = 8\ y = 3Hence, 8 is the larger number.
133. (c) x 3 2= +
1 1 3 2 3 2 3 2x 3 23 2 3 2
- -= ´ = = -
-+ -
Now, ( ) ( )3 333
1x 3 2 3 2
x- = + - -
= (a + b)3 – (a – b)3 [Let 3 = a and 2 = b]= a3 + b3 + 3a2b + 3b2 – (a3 – b3 – 3a2b + 3b2a)= a3 + b3 + 3a2b + 3b2 – a3 + b3 + 3a2b – 3b2a
= 2b3 + 6a2b = ( ) ( ) ( )3 22 2 6 3 2+
= 4 2 18 2 22 2+ =134. (a) Printed price = ` 320, d1 = 10%
Let d2 = x%, Amount actually paid = ` 244.80
So, amount actually paid = 10 x
1 1 320100 100
æ ö æ ö- - ´ç ÷ ç ÷è ø è ø
( )100 x90244.80 320100 100
-= ´ ´
100 – x = 244.80 100 100
90 320´ ´´
= 85 Þ x = 15%
135. (c) tan 32 2p qæ ö- =ç ÷è ø
tan tan2 2 3p q pæ ö- =ç ÷è ø
2 2 3 2 2 3 3p q p q p p p
- = Þ = - Þ q =
\ cos q = 1cos3 2p
=
136. (d) A : B = 5 : 3B : C = 4 : 5
A : B5 : 3
: C
4 : 520 : 12 : 15
No. of runs scored by B = 12 564 14447
´ =
2012 - 16 Combined Higher Secondary Level Exam
137. (b) Circumradius of a triangle
= ( ) ( ) ( ) ( )
abca b c a b c b c a a c b+ + + - + - + -
= ( ) ( ) ( ) ( )
3 4 53 4 5 3 4 5 4 5 3 3 5 4
´ ´
+ + + - + - + -
= 60
2.5 cm12 2 6 4
=´ ´ ´
138. (a)125 x 100100
´ =
Þ 100 100x 80
125´
= =
139. (c) If A can finish a work = x daysB will do this work = 3x daysFrom question, A – B = 3x – x = 60 Þ x = 30A = 30 days, B = 90 days
A’s 1 day work + B’s 1 day work = 1 1 430 90 90
+ =
So, A and B working together can complete work = 904
= 22.5 days
140. (d) Cost to A 10%¾¾¾® cost to B 5%¾¾¾® cost to C
Þ Cost to A × 110 105 462100 100
´ = `
Þ Cost to A = 462 100 100 400
110 105´ ´
=´
`
141. (c) No. of people who prefer flute = 11% of 60,000
= 11 60000 6600
100´ =
2100 people be less from the people who prefer flute.Therefore, 6600 – 2100 = 4500
Required percentage = 4500 100 7.5%
60000´ =
142. (a) Total number of people who prefer either Sarod orGuitar = 14% of 60000 + 22% of 60000Þ 8400 + 13200 = 21600Total number of people of who prefer violin or Sitar= 20% of 60000 + 14% of 60000Þ 12000 + 8400 = 20400Required difference = 21600 – 20400 = 1200
143. (b) Required number 14% of 60000 = 14 60000 8400
100´ =
144. (d) No. of people who prefer piano = 9% of 60000 = 5400
According to question, 216 %3
no. of the people who
prefer piano would go with flute.
Therefore, 50 %3
of 5400 = 900
Hence, the required percentage
= 900 11% of 60000
10060000
+´
= 900 6600
100 12.5%60000
+´ =
145. (a) No. of people who prefer guitar = 22% of 60000 = 13200No. of people who prefer Flute or Piano = (11 + 9)% of60000 = 12000Required difference = 13200 – 12000 = 1200.
146. (d) 100 16360
q´ =
°16 576
360 57.6100 10
q = ´ = = °
147. (d) Required difference (in % value)
= 18 15 3 2100 100 16 %
18 18 3-
´ = ´ =
148. (b) Given,Miscellaneous expenditure = ` 1848Þ 4% of the total expenditure cost for publishing 5500copies = ` 1848Þ Total expenditure cost of 5500 copies (i.e. 100%)
= 1848 100
462004
´=
``
Þ Expenditure cost per copy = 46200 8.405500
=`
`
So, marked price of each copy = ̀ 8.40 + 25% of 8.40 = 8.40 + 2.10 = ` 10.50
149. (c) Cost of printing i.e., 35% = 17500
So, Royality i.e., 15% = 17500 15 7500
35´ =
150. (a) Miscellaneous charges i.e. 4% = 6000So, Advertisement charges i.e., 18%
= 6000
18 270004
´ =
GENERAL AWARENESS
152. (d) Sankaradeva was an erudite scholar, a prolific writer, aversatile saint-poet of unlimited merit, a lyricist ofuniversal acceptance, a musician of high calibre, apioneer in the field of Assamese prose, drama anddramatic performances, a painter and above all thegreatest religious teacher-preacher-leader of themedieval Vaisnava movement in Assam which is rightlyknown as the Sankaradeva Movement.
153. (c) Saffron, a spice derived from the dried stigmas of thesaffron crocus. (crocus sativus) a small plant about afoot tall. Each flower has three female parts. (stigmas)two male parts. (stamens) each stigmas is red or darkred in color towards the top and yellow towards thebottom of the stigma, where it is attached to the flower.