APTITUDE TEST FOR GRADE 12

1. What least no must be added to 1056, so that the sum is completely divisible by 23?
A. 21 B.2 C.3 D.18
2. If x  14  22  39 which of the f.f is not an integer? A. x  21 B. x  24 C. x  26 D. x  77
3. If the remainder is 1 when m divided by 2 and the remainder is 3 when n is divided by 4, which of
the f.f must be true? A.m is even B.n is even C.m+n is even D.nm is even
4. Consider the f.f two quantities
Quantity A Quantity B
The remainder when 999 is divided by 7 The remainder when 777 is divided by 9
A. QA > QB B. QA < QB C.QA = QB D.The relationship cannot define
5. If x and y are both primes greater than 2, which of the f.f cannot be a divisor of xy?
A. A.2 B.3 C.11 D.15
6. If p and q are primes greater than 2, which of the f.f must be true?
A. P+q is even B.pq is odd C.p2-q2 is even D.all
7. Let x,y and z are consecutive positive integers and x<y<z , which of the f.f must be true?
x yz
A. z – x = 2 B.xyz is even C is integer
3
8. The sum of 3-consecutive positive integers must be divisible by w/c of the f.f?
A. 2 B.3 C.4 D.5
9. The sum of 5-consecutive positive integers is X, what is the smallest and largest and smallest in
terms of X?
10. The sum of 5-consecutive odd positive integers is 735, what is the largest of these integer?
A. 155 B.151 C.145 D.143
11. The sum of 3-consecutive positive integers is odd, then the first and last integers must be:
A. Odd, even B.even, even C.odd, odd D.even, odd
12. The number of integer from 2 to 15 inclusive is:A.14 B.13 C.15 D.12
13. The number of integer from 2 to 15 exclusive is:A.14 B.13 C.15 D.12
14. If 3  3  3 , what is the arithmetic mean of x and y?A.50 B.40 C.70 D.100
x y 100

15. If 50100  t (100) 50 , What is the value of k? A.250 B.2-50 C.2550 D.5050
0.0015 10 X
16. If  5  107 , then x-y is A.9 B.8 C.6 D.5
0.03  10 y

17. If 3 x  81 , then 2 x 15 x 3  A.50 B.160 C.40 D.80

n 1 2 n 3
18. If m  2 and 3  27 , what is the values of m/n A.4/3 B.3/4 C.4 D.3
19. 80  125 equal to A. 205 B. 20 5 C. 4 5 D. 9 5
20. If 7x + 17 = 49 then 7 x  49 equal to A.7 B.9 C. 4 7 D. 8 5
1 1 1
21. If 0  a  b  1 , w/c of the f.f is (are) true? I.a – b is negative II. is positive III.  is
ab a b
positive A.I, II B.II C.I, II III D.III
22. 0  x  1 , which of the f.f lists numbers in increases order?
A. x, x 2 , x B. x , x, x 2 C. x 2 , x, x D. x 2 , x , x
23. What is the probability of getting exactly two tails when three coins are tossed at the same time?
3 3 1 1
A. B. C. D.
8 4 8 4
24. What is the probability that a number selected at random from the first 50 natural numbers is prime
3 7 8 3
and odd number? A. B. C. D.
5 25 25 10
25. Two six sided dice ate thrown together. What is the probability that the sum of the two numbers on
5 1 1 1
top is 10? A. B. C. D.
6 12 6 2
26. Nine identical balls numbered 1 through 9 are in a bag. A ball is randomly drawn and replaced.
Then a second ball is randomly drawn. What is the probability that the first ball drawn and the
20 25 8 16
second ball drawn are both even numbered? A. B. C. D.
81 81 81 81
27. A committee of consisting of 3 students is to be selected from 10 candidates among which 4 are
girls. What is the probability of that at least one girl is selected?
5 2 1 1
A. B. C. D.
6 3 3 6
0 0
28. Suppose 2500 items are produced by a machine and 2 / of the product are randomly selected and
tested. If 5 of the tested items have a defect, then what is the probability that an item produced by
the machine has No defect? A.0.8 B.0.85 C.0.95 D.0.9
29. Fenet has 4 trousers, 5 shirts, and 2 pairs of shoes. In how many different ways can she dress?
A. 25 B.10 C.50 D.40
30. Four different keys are to place on a key ring. How many ways can the key be arranged?
A. 24 B.36 C.8 D.6
31. A box contains tickets numbered 2 to 25. One ticket is drawn from the box. What is the probability
1 3 1 9
getting prime? A. B. C. D.
5 8 8 22
32. Suppose you write the days of the week on identical pieces of paper. You mix them in a box and
select one at a time, what is the probability that the day you select will have the letter r in it?
3 4 3
𝐴. 4 𝐵. 7 𝐶. 7 𝐷. 1
33. A three-digited library identification card is to be printed from the numbers 0, ,1, 2, 3, 4, 5 in such
a way that the first is non-zero and no number is to be repeated. How many such card can be
printed? A.100 B. 120 C. 150 D. 180
34. Obsif's sisters are 174cm, 180, 179cm and 172cm tall. If Obsif and her sisters have a mean weight
of 176cm, then how tall is Obsif? A.177 B.178 C.176 D.175
35. If 20 percent of x is 5y, and y = 7, what is 60 percent of x?
A. 105 B. 115 C. 125 D. 145
36. If A= x% of y and B=y% of x, then which one of the following is true?
A. A is greater than B. C. The relation between A and B cannot be determined
 B. A is smaller than B D.A and B are equal
37. If x is 5 percent of r and r is 20 percent of s, what percent of s is x?
A. 1% B. 4% C. 10% D. 40%
38. If x > y compare the two quantities A and B
Quantity A Quantity B
0
30 /0 of x 500/0 of y
A. The two quantities are equal C. The relation between A and B cannot be determined
B. Quantity A is less than quantity B D. Quantity A is greater than quantity B
39. If a the number between 0 and 1, w/c of the following is NOT more than a?
A. a B.1/a B.2a D.a2
40. Look at a pattern: 10, 20, 25, 35, 40, 50, _, _ , then w/c of the following pairs pattern of numbers
comes next? A.60, 65 B.65, 70 C.60,75 D.60, 70
1 10
41. What is the simplest form of (1  10 )  (1) ? A.10 B.1 C.0.1 D.100
a b a 7 1 1 5
42. If b  0 and  , what is the value of ? A. B. C. D.
5 7 b 5 7 5 7
43. If one fourth of one third of the number is 15, then what is three – tenth of that number?
A. 39 B.45 C.54 D.34
44. What number increased by 3 is equal to 3 less than twice the number? A.3 B.9 C.12 D.6
45. Three professors contested an election for a university president and reveiced 1136, 7636 and
11628 votes respectively. What percentage of the total votes did the winning professor get?
A. 650/0 B.570/0 C.590/0 D.610/0
46. An athlete completes a journey in 10 hours. He travels first half of the journey at the rate of
21km/hr and second half at the rate of 24km/hr. What is total journey in km?
A. 216 B.225 C.218 D.230
b 1 1 1 1
47. If b  0 and ab  , what is the value of a? A. B. C. D.
6 2 8 4 6
48. What number should be come next in the series 7, 10, 8, 11, 9, 12,…? A.13 B.10 C.12 D.7
49. What is the product of 7  2 and 7  2 ? A.5 B.4 C.2 D.3
50. The sum of ages of five children born at the interval of 3 years each is 50 years. What is the age of
the younger child? A.8 B.4 C.6 D.10
9 n
51. If n is an integer such that (3)  3 , what is the value of n?A.4
2n
B.3 C.2 D.1
52. How many multiple of 4 are their b/n 12 and 96 inclusive?A.22 B.23 C.24 D.25
53. Which of the following is the largest?
A. 800/0 of 340 B. 600/0 of 450 C. 300/0 of 900 D. 500/0 of 540
3 1 4 3 2
54. By how much is large than 200/0 of 2? A. B. C. D.
7 35 7 7 35
55. What is a- percent of b divided by b-percent of a? A.a B.1 C.b D.5
56. Divide 64 by a quarter and add 5, What is the resulting number?A.261 B.256 C.21 D.11
57. Ali, Aminat and Yoseph have their own collections of stamps. If the ratio of Ali’s to Aminat’s is 5
to 1 and the ratio of Aminat’s to Yoseph’s is 3 to 2, what is the ratio of Ali’s to Yoseph’s?
A. 5:1 B.5:2 C.10:3 D.15:2
58. On a test containing 60 questions, Azeb answered 750/0 of the first 40 questions correctly. What
percent of the other 20 questions does she need to answer correctly for her grade on the entire
examination to be 800/0? A.500/0 B.900/0 C.800/0 D.700/0
59. If an airplane starts at point R and travels 14 miles directly north to S, then 48 miles directly east
to T, what is the straight line distance from T to R?A. 25 B.34 C.50 D.2500
60. A train travels 60 miles per hour for 3 hours and then 45 miles per hour for 2 hours. What is the
trains average speed in miles per hour during the 5 hours period? A.55 B.54 C51 D.50
61. At a certain school, if the ratio of teachers to students is 1 to 10, which one of the following can
be a total number of teachers and students in the school? A.144 B.1011 C.100 D.121
62. If x is 300/0 of 400, y is 400/0 of x and z is 250/0 of y, which of the following is equal to x+y+z?
A. 150 B.175 C.120 D.180
63. A radioactive substance decays at an annual rate of 170/0. If the initial amount of the substance is
650 grams. Which one of the following function h(t) models the remaining amount of the
substance, in grams after t years?
A. h(t )  0.83(650) t B. h(t )  650(0.83) t C. h(t )  0.17(650) t D. h(t )  650(0.17) t
64. The diameter of a circle O is the same as the length of the side of a square S
Quantity A Quantity B
The area of circle O The area of square S
A. The two quantities are equal C. The relation between A and B cannot be determined
B. Quantity A is less than quantity B D. Quantity A is greater than quantity B
65. Let a be a real number
Quantity A Quantity B
(a+1)xax(a-1) Axaxa
A. The two quantities are equal C. The relation between A and B cannot be determined
B. Quantity A is less than quantity B D. Quantity A is greater than quantity B
66. The red, green and black marbles in a packet are in the ratio 2:3:5. How many green and black
marbles are there, if there are 10 red marbles?
A. 30 green and 50 black B.25 green and 15 black
B. 15 green and 25 black D. 6 green and 15 black
67. 30 percent of 6 is equal to 40 percent of one of the following numbers. Identify.
A. 4.5 B.4.25 C.1.8 D.0.72
68. What number should be replacing X to continue the sequence 2, 6, 14, 30, 62, X
A. 122 B.124 C.126 D.128
69. An aircraft flies 1240 km in 60 min. How many km does it fly in 5 hrs and 15 min assuming a
constant speed? A.6386 B.6510 C.6820 D.6944
70. What is 50 percent of 7/12 of 480? A.140 B.150 C.160 D.170
0
71. If Kedija must have a mark of 70 /0 to pass a test of 40 items, the number of items she may miss
and still pass the test is ____. A.6 B.8 C.12 D.28
72. Which one of the following fractions is the LARGEST? A.6/25 B.5/21 B.4/17 D.3/13
73. What is X percent of Y divided by Y percent of X? A.X B.Y C.1 D.10