1. The angle of elevation of a ladder leaning against a wall is 60°, and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is?
(A) 9.2
(B) 10.2
(C) 8.2
(D) None of these
2. The ratio of ages of two students is 3 : 2. One is older than the other by 5 years. What is the age of the younger student?
(A) 3 years
(B) 10 years
(C) 15 years
(D) None of these
3. The angle of elevation of the sun, when the length of the shadow of a tree is equal to the height of the tree, is?
(A) 45 degree
(B) 30 degree
(C) 75 degree
(D) 60 degree
4. 1.14 expressed as a percent of 1.9 is?
(A) 60%
(B) 6%
(C) 10%
(D) None of these
5. If x and y are positive real numbers and x^(1/3) = y^(1/4), which relation is true?
(A) X³ = Y⁴
(B) X = Y⁴
(C) X³ = Y
(D) None of these
6. The value of 3.5 × 1.4 / 0.7 is?
(A) 7
(B) 0.7
(C) 0.07
(D) None of these
7. The sum of two numbers is 40 and their difference is 4. The ratio of the numbers is:
(A) 21:19
(B) 22:9
(C) 11:9
(D) None of these
8. Two numbers are respectively 20% and 50% more than a third number. The percentage of the first to the second is?
(A) 65%
(B) 70%
(C) 80%
(D) None of these
9. A man walked for 1/3 hour and then got an automobile ride for 1/2 hour. What part of the total time did he ride on the automobile?
(A) 1.4
(B) 3
(C) 0.3
(D) 0.6
10. Express the recurring decimal 0.125125… as a rational number.
(A) 125/999
(B) 125/9
(C) 125/99
(D) None of these
11. Evaluate (1 + 1/x)(1 + 1/(x+1))(1 + 1/(x+2))(1 + 1/(x+3)).
(A) x + 6/x
(B) x + 8/x
(C) x + 4/x
(D) None of these
12. If a/3 = b/2, then the value of (2a + 3b)/(3a − 2b) is?
(A) 12/5
(B) 10/7
(C) 11/6
(D) None of these
13. In the set S = {0, 2, 4, 5, 9}, which number, if removed, keeps the average the same?
(A) 4
(B) 3
(C) 2
(D) None of these
14. The average age of 3 friends is 23. Even if the age of the 4th friend is added, the average remains 23. What is the age of the 4th friend?
(A) 23 years
(B) 22 years
(C) 33 years
(D) None of these
15. The mean proportional between 2 and 8 is?
(A) 6
(B) 4
(C) 8
(D) None of these
16. 0.005 × 0.2 = ?
(A) 0.01
(B) 0.001
(C) 0.2
(D) None of these
17. Two sections A and B of a class have 36 and 44 students. Their average weights are 40 kg and 35 kg respectively. Find the average weight of the whole class.
(A) 37.25 kg
(B) 37.85 kg
(C) 35.25 kg
(D) None of these
18. If 3^(x+3) + 7 = 250, then x equals?
(A) 3
(B) 4
(C) 2
(D) None of these
19. A two-digit number is three times the sum of its digits. If 45 is added to it, the digits are reversed. The number is?
(A) 26
(B) 27
(C) 25
(D) None of these
20. There are twice as many boys as girls. If 30% of the boys and 45% of the girls failed, what percentage of the class passed?
(A) 65%
(B) 40%
(C) 52%
(D) None of these
21. Rs. 1200 is lent at 5% p.a. simple interest for 3 years. The amount after 3 years is:
(A) 1380
(B) 1290
(C) 1470
(D) 1200
22. A school has four classes with 10, 20, 30, 40 students. Their pass percentages are 20%, 30%, 60%, 100%. Find the overall pass percentage.
(A) 56%
(B) 44%
(C) 66%
(D) None of these
23. A class had 14 boys with an average height of 5.3 ft. A new boy joined; the average of 15 boys became 5.25 ft. How tall was the new boy?
(A) 4.55 ft
(B) 5.55 ft
(C) 3.55 ft
(D) None of these
24. The area of a circle is 98.56 cm². Its circumference is?
(A) 37.2 cm
(B) 39.2 cm
(C) 35.2 cm
(D) None of these
25. Find X if 3889 + 12.952 − X = 3854.002.
(A) 47.95
(B) 44.95
(C) 50.95
(D) None of these
26. If 0.009/x = 0.01, find x.
(A) 0.9
(B) 0.09
(C) 0.009
(D) None of these
27. What is the average of 0, 0, 4, 10, 5, 5?
(A) 2
(B) 3
(C) 4
(D) 5
28. Two numbers are respectively 60% and 20% more than a third number. The second is what percent of the first?
(A) 75%
(B) 80%
(C) 70%
(D) None of these
29. Two numbers are in the ratio 3:5. If 9 is subtracted from each, the ratio becomes 12:23. The smaller number is?
(A) 32
(B) 33
(C) 31
(D) None of these
30. 15 cattle can graze a field in 20 days. 20 cattle can graze 3 such fields in how many days?
(A) 45
(B) 30
(C) 60
(D) None of these
31. If (2/3)A = 75% of B = 0.6 of C, then A : B : C is?
(A) 9 : 8 : 10
(B) 9 : 7 : 10
(C) 6 : 8 : 10
(D) 9 : 6 : 10
32. Three-fourths of a number is 60 more than one-third of it. The number is:
(A) 84
(B) 144
(C) 108
(D) None of these
33. If X% of (25/2) is 150, then X is:
(A) 1200
(B) 1000
(C) 1400
(D) None of these
34. A sum of Rs.12,500 amounts to Rs.15,500 in 4 years at simple interest. The rate is:
(A) 8%
(B) 6%
(C) 10%
(D) None of these
35. A student obtained 75%, 80% and 85% in three subjects. If marks of another subject are added, the average cannot be less than:
(A) 70%
(B) 80%
(C) 60%
(D) None of these
36. If a number is multiplied by two-thirds of itself, the result is 864. The number is:
(A) 36
(B) 34
(C) 35
(D) None of these
37. In how many ways can a President, Vice President, and Water-boy be selected from 10 people?
(A) 10P3
(B) 10C3
(C) 240
(D) None of these
38. If x : y = 5 : 2, then (8x + 9y) : (8x + 2y) equals:
(A) 29 : 22
(B) 26 : 61
(C) 22 : 29
(D) None of these
39. Given 10^0.48 = x, 10^0.70 = y and x^z = y^2, the value of z is closest to:
(A) 2.9
(B) 1.45
(C) 1.88
(D) None of these
40. 4.036 divided by 0.04 equals?
(A) 100.9
(B) 101.0
(C) 100.0
(D) 102.0
41. A:B = 2:3, B:C = 3:4, A:D = 4:5. Find C:D.
(A) 2:5
(B) 8:5
(C) 4:5
(D) None of these
42. The angle of depression to a point 70 m from the base of a tower is 60°. The tower’s height is:
(A) 35√3 m
(B) 70√3/3 m
(C) 70 m
(D) 70√3 m
43. If A : B = 2 : 3 and B : C = 4 : 5, then A : B : C =
(A) 8 : 12 : 15
(B) 9 : 11 : 15
(C) 9 : 17 : 18
(D) None of these
44. The cost of a car is 400% greater than a bike. If car and bike prices increase by 15% and 20% respectively, the total increase on 5 cars and 10 bikes is:
(A) 15 3/7%
(B) 14 3/7%
(C) 16 3/7%
(D) None of these
45. The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is:
(A) 27
(B) 35
(C) 30
(D) None of these
46. One-third of one-fourth of a number is 15. Three-tenths of that number is:
(A) 66
(B) 55
(C) 56
(D) 54
47. The salaries of A, B and C are in the ratio 1:3:4. If increased by 5%, 10% and 15% respectively, the new ratio is:
(A) 21 : 66 : 92
(B) 20 : 66 : 95
(C) 21 : 66 : 95
(D) None of these
48. 1/log₃6₀ + 1/log₄6₀ + 1/log₅6₀ equals:
(A) 1
(B) 2
(C) 5
(D) None
49. A washerman irons 4 shirts in 12 minutes. How many in one hour?
(A) 16
(B) 20
(C) 24
(D) 30
50. Working 5 h/day, A completes a work in 8 days; working 6 h/day, B completes it in 10 days. Working 8 h/day together, they complete it in:
(A) 4.5 days
(B) 4 days
(C) 3 days
(D) None of these
51. A & B in 12 days, B & C in 15 days, C & A in 20 days. Together A, B, C finish in:
(A) 20 days
(B) 10 days
(C) 14 days
(D) None of these
52. Hassan borrowed 5000 at simple interest for 5 years. He paid an extra 500. The annual rate was:
(A) 3.5%
(B) 2%
(C) 3%
(D) None of these
53. Ali’s shell collection is 80% more than Aslam’s. If Aslam has 80 more shells, total shells will be ____?
(A) 620
(B) 820
(C) 720
(D) None of these
54. If 10 persons can do a job in 20 days, then 20 persons with twice the efficiency can do it in:
(A) 5 days
(B) 10 days
(C) 3 days
(D) None of these
55. A person bought an item for Rs.2500 and sold it at 15% discount (on cost). The selling price is:
(A) Rs. 2025
(B) Rs. 2250
(C) Rs. 2125
(D) None of these
56. If 4^(4x+1) = 1/64, then x is:
(A) −1
(B) 1
(C) 0
(D) None of these
57. Three times the first of three consecutive odd integers is 3 more than twice the third. The third is:
(A) 15
(B) 19
(C) 17
(D) 14
58. If m : n = 3 : 2, then (4m + 5n) : (4m − 5n) equals:
(A) 4 : 9
(B) 11 : 1
(C) 9 : 4
(D) 9 : 1
59. If a 162 km road takes 9 months to construct, how many months are needed for a 306 km road at the same rate?
(A) 17
(B) 16
(C) 19
(D) 15
60. If person A completes a work in 12 days and person B in 6 days, together they complete it in:
(A) 4
(B) 3
(C) 5
(D) None of these
61. If the area of a circle is 38.5 m², then its circumference is:
(A) 22 m
(B) 2.2 m
(C) 38.5 m
(D) 35 m
62. A sum of 95,000 is to be divided among A, B and C with A:B = 2:3 and B:C = 2:3. The share of A is:
(A) 20000
(B) 35000
(C) 17000
(D) None of these
63. A village has 5860 voters; 7% forget to vote. To win, a candidate needs at least 50% of remaining votes. How many votes are needed?
(A) 2725
(B) 5450
(C) 3450
(D) None of these
64. If 42 women can do a work in 18 days, how many women will do the same work in 21 days?
(A) 18
(B) 12
(C) 24
(D) 36
65. If A = (√5 + 1) + (√5 − 1) and B = (√5 − 1) + (√5 + 1), then A + B equals:
(A) 3
(B) 2
(C) 1
(D) None of these
66. If 2994 ÷ 14.5 = 172, then 29.94 ÷ 1.45 =
(A) 0.172
(B) 17.2
(C) 1.72
(D) None of these
67. A chemical solution contains 8% acid. If there is 15 ml acid, what is the volume of the solution?
(A) 187 ml
(B) 188 ml
(C) 197 ml
(D) 187.5 ml
68. 21 binders can bind 1400 books in 15 days. How many binders are required to bind 800 books in 20 days?
(A) 7
(B) 9
(C) 5
(D) 3
69. If P * Q = P + Q + P/Q, then 8 * 2 equals:
(A) 6
(B) 10
(C) 14
(D) 16
70. A ladder makes a 60° angle with the ground against a wall. If the foot is 2 m from the wall, the length is:
(A) 4
(B) 5
(C) 6
(D) 8
71. [(2.39)² − (1.61)²] / (2.39 − 1.61) equals:
(A) 5
(B) 4
(C) 3
(D) None of these
72. 0.232323… is equal to:
(A) 1/5
(B) 23/99
(C) 23/100
(D) None of these
73. An army camp of 200 men has food for 60 days. How long will it last if men are reduced to 160?
(A) 80
(B) 75
(C) 70
(D) None of these
74. 12 men and 15 women can reap a field in 14 days. How many days will 7 men and 5 women take?
(A) 168/11 days
(B) 160/11 days
(C) 178/11 days
(D) None of these
75. If the interest on Rs. 800 in 2 years exceeds the interest on Rs. 400 by Rs. 40 in 2 years, the simple interest rate is:
(A) 5%
(B) 6%
(C) 7%
(D) 9%
76. If log10(2) = 0.3010 and log10(3) = 0.4771, then log₅(512) is:
(A) 3.876
(B) 3.89
(C) 3.987
(D) 3.098
77. A school cafeteria needs C cans per week per student; there are S students. For how many weeks will X cans last?
(A) X/SC
(B) X/CX
(C) XS/C
(D) None of these
78. If x = 3 + √8, find x² + 1/x².
(A) 36
(B) 32
(C) 34
(D) None of these
79. The price of a pen is 75. After a 15% discount, the price is:
(A) 60
(B) 55
(C) 51
(D) None of these
80. If 1 < x < 2, then √(x − 1)² + √(3 − x)² equals:
(A) 4
(B) 5
(C) 2
(D) None of these
81. What is the angle between the minute and hour hands of a clock at 8:30?
(A) 60 degree
(B) 65 degree
(C) 70 degree
(D) 75 degree
82. The average of a player in 10 innings was 32. How many runs in next innings to raise average by 4?
(A) 76
(B) 75
(C) 74
(D) None of these
83. If 60 women spin 48 kg of cotton by working 8 hours daily, how much will 30 women spin by working 12 hours daily?
(A) 32 kg
(B) 36 kg
(C) 34 kg
(D) None of these
84. A sum of money doubles in 3 years at compound interest (annual). It will become 4 times in:
(A) 5 years
(B) 4 years
(C) 6 years
(D) None of these
85. The average of 50 numbers is 30. If two numbers 35 and 40 are discarded, the new average is nearly:
(A) 29.68
(B) 28.32
(C) 29.27
(D) None of these
86. The first and foremost function of management is:
(A) planning
(B) organizing
(C) controlling
(D) coordination
87. _______ refers to the risk inherent to the entire market or market segment.
(A) Financial risk
(B) Purchasing power
(C) Systematic risk
(D) Interest-free risk
88. The value of 3.4 × 1/4 ÷ 0.7 = ?
(A) 7
(B) 3
(C) 5
(D) None
89. The product of two numbers is 72. Find the other number when one is 9.
(A) 2
(B) 8
(C) 5
(D) None
90. Sum of 2 numbers is 40 and their difference is 4. The ratio of the numbers is
(A) 11:9
(B) 11:7
(C) 11:1
(D) none
91. A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness is 1 cm and iron weighs 8 g/cm³, then the weight of the pipe is:
(A) 3.696 kg
(B) 6.696 kg
(C) 4.696 kg
(D) None of these
92. The sum of five consecutive even numbers of set X is 440. Find the sum of a different set of five consecutive integers whose second least number is 121 less than double the least number of set X.
(A) 236
(B) 228
(C) 240
(D) 248
93. 220% of a number X is 44. What is 44% of X?
(A) 6.6
(B) 8.9
(C) 8.8
(D) 8.0
94. In a 60-litre mixture, milk:water = 2:1. To make it 1:2, how much water must be added?
(A) 60
(B) 50
(C) 40
(D) 80
95. 15 men were hired to plough a land in 10 days. How many more men are required to do it in 3 days?
(A) 35
(B) 40
(C) 50
(D) 30
96. A farmer bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?
(A) 3
(B) 5
(C) 4
(D) 6