ACE OF PACE (MAIN)

CENTERS : MUMBAI /DELHI /AKOLA / LUCKNOW /NASHIK /PUNE /NAGPUR /BOKARO /DUBAI # 2

ACE OF PACE OBJECTIVE SECTION (QUESTION PAPER)

1. The cube root of .000216 is : (A) .6 (B) .06 (C) 77 (D) 87 2. A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and ceiling is equal to the

sum of the areas of four walls, the volume of the hall is. (A) 720 3m (B) 900 3m (C) 1200 3m (D) 1800 3m 3. An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance

in 213

hours, it must travel at a speed of

(A) 300 kmph (B) 360 kmph (C) 600 kmph (D) 720 kmph 4. Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percent is:

(A) 447

% (B) 5511

% (C) 10% (D) 12%

5. x 1 x 3a b

b a

, then the value of x is

(A) 12

(B) 1 (C) 2 (D) 72

6. What should come in place of both x in the equation x 162 = x128

.

(A) 12 (B) 14 (C) 144 (D) 196 7. Two students appeared at an examination. One of them secured 9 marks more than the other and his

marks was 56% of the sum of their marks. The marks obtained by them are: (A) 39,300 (B) 41,32 (C) 42,33 (D) 43,34 8. A sum of money is to distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs.

1000 more than D, What is B is share? (A) Rs. 500 (B) Rs. 1500 (C) Rs. 2000 (D) None of these 9. Find the greatest number that will divide 43,91 and 183 so as to leave the same remainder in each

case? (A) 4 (B) 7 (C) 9 (D) 13

10. 1 1 1 1 1....2 1 3 2 4 3 5 4 100 99

=

(A) 1 (B) 2 (C) 9 (D) 0 11. If 13 x 10 8 5 , then x = (A) – 4 (B) –3 (C) –5 (D) cannot found

ACE OF PACE (MAIN)

CENTERS : MUMBAI /DELHI /AKOLA / LUCKNOW /NASHIK /PUNE /NAGPUR /BOKARO /DUBAI # 3

12. If x 2 3 , then the value of 33

1xx

(A) 2 3 (B) 52 (C) 25 (D) 27 13. In the figure, if LM || XY , then QXY = (A) 50o (B) 60o (C) 70o (D) 110o 14. The value of 0x in the following figure is :

x+152xx+45

A

P Q

C

B (A) 120o (B) 100o (C) 30o (D) 60o 15. One side of an equilateral triangle is 10 units what is the length of its altitude? (A) 5 3 (B) 10 3 (C) 3 5 (D) 3 10 16. The perimeter of a square is (4x + 20) units the length of its diagonal is : (A) 2 x 4 (B) 2 x 6 (C) 2 x 5 (D) 2 x 9 17. 1.5625 = ? (A) 1.05 (B) 1.25 (C) 1.45 (D) 1.55 18. If PR RS and P : Q : R : : 3 : 2 : 1then the value of SRT =

Q

P

R T

S

(A) 20° (B) 40° (C) 60° (D) 80°

19. Find the unknown ‘P’ in 5 3 3 2 P 8 63 2

(A) 11 (B) 21 (C) 15 (D) 42 20. The number of 2 2 size squares on the chess board is equal to ? (A) 36 (B) 49 (C) 25 (D) 16

P

L

30

50

X Y

Q M

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CENTERS : MUMBAI /DELHI /AKOLA / LUCKNOW /NASHIK /PUNE /NAGPUR /BOKARO /DUBAI # 4

21. If 35 + 125 = 17.88, then what will be the value of 80 + 6 5 ? (A) 13.41 (B) 20.46 (C) 21.66 (D) 22.35 22. In a market price of any diamond is directly proportional to square of volume of diamond. If

diamond is divided in 3 parts which have ratio of volume 2 : 3: 5 what will be percentage loss in total price of diamond?

(A) 38% (B) 62% (C) 42% (D) 58% 23. Two secant PAB and PCD are drawn to a circle from external point P if PA = 8, AB = 3, PC = 4

what will be length CD?

AP

CD

B

(A) 11 (B) 22 (C) 18 (D) 6 24. What will be value of y is given sequence?

y 5 5 5 5.....

(A) 1 212

(B) 1 172

(C) 1 62 (D) None

25. The sum of reciprocals of Rehman’s age (in years) 3 years ago and 5 year from now is 13

. What is

his present age? (A) 13 (B) 9 (C) 7 (D) 6 26. Which of following numbers 0010100016080 3432 .,,.,., is/are rational ?

(A) 3 1 (B) 2 (C) 0010. (D) All of these

27. The numerator and denominator of a fraction are in ratio 2 : 3. If 6 is subtracted from the numerator,

the result will be 23

of the original fraction. What is the value of the numerator ?

(A) 27 (B) 18 (C) 36 (D) 6

28. If x = 3+ 3 , then what is the value of 22

9x + x

?

(A) (15 + 3 3 ) (B) (18 + 3 3 ) (C) (27 + 3 ) (D) None of these 29. A person sold two almirah for Rs. 1980 each fetching equal amount. On one almirah he gained 10%

while on the other he lost 10% In the bargain he (A) gained 2% (B) loss 1% (C) gained 10% (D) neither gained nor lost

30. 2

13 - 3

simplifies to:

(A) 34

(B)43

(C) 43

(D) None of these