1. Find the number of triangles which can be formed by joining the angular points of a polygon of 8 sides as vertices.
(A) 56
(B) 8
(C) 24
(D) None of these
2. How many times in a day are the hands of a clock in straight line but opposite in direction?
(A) 22 times
(B) 12 times
(C) 60 times
(D) 11 times
3. The ratio of the length of a rod and its shadow is 1: √3. The angle of elevation of the sun is _____.
(A) 90°
(B) 30°
(C) 45°
(D) None of these
4. In how many ways can 2 students be chosen from a class of 20 students?
(A) 180
(B) 190
(C) 240
(D) None of these
5. A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left. The remaining food will last for how many days?
(A) 29
(B) 37
(C) 42
(D) 54
6. One Kilometer is equal to ______ metres.
(A) 100 metres
(B) 1000 metres
(C) 10000 metres
(D) None of these
7. There are 56 boys in a class of 140 students. What is the percentage of boys?
(A) 84%
(B) 60%
(C) 40%
(D) None of these
8. The average of the first five multiples of 9 is _____.
(A) 20
(B) 27
(C) 28
(D) 30
9. 1/0.02 = ______
(A) 50
(B) 100
(C) 75
(D) None of these
10. 80% of 700 = ?
(A) 550
(B) 560
(C) 565
(D) None of these
11. A batsman in his 12th inning scores 80 and increases his average by 3. What is his average after the 12th inning?
(A) 45
(B) 46
(C) 47
(D) 48
12. 9/11 + 5/7 = ?
(A) 2/3
(B) 3/2
(C) 1/3
(D) None of these
13. If 54 is subtracted from 3 times a certain number the result is 36. Find the number.
(A) 20
(B) 25
(C) 30
(D) 50
14. A coach leaves at 22:55 and arrives at 06:05 next day. Find the journey time.
(A) 7 hours 10 minutes
(B) 6 hours 30 minutes
(C) 5 hours 10 minutes
(D) None of these
15. Who is known as the Father of Geometry?
(A) Kepler
(B) Euclid
(C) Pythagoras
(D) Newton
16. A carpenter lays x bricks per hour for y hours and then x/2 per hour for 2y hours. How many bricks in total?
(A) 3xy
(B) 2xy
(C) 5xy
(D) None of these
17. The price of a printer is Rs 150000 and depreciates 4% annually. Price after 3 years?
(A) 132710
(B) 131699
(C) 133766
(D) None of these
18. Prize money Rs. 60,000 is distributed among eight teams in an AP; last place gets Rs. 4000. How much for first place?
(A) Rs 16000
(B) Rs 8000
(C) Rs 11000
(D) None of these
19. The place value of 9 in 0.06945 is?
(A) 9/1000
(B) 9/90
(C) /100
(D) None of these
20. If the rat population is 20 initially and 25 after the second year (exponential growth), which model fits best?
(A) P = 20(5)^t
(B) P = 5t^2 + 20
(C) P = 20(1.25)^t
(D) None of these
21. The average income of A & B is 50000; of B & C is 60000; of A & C is 55000. Income of B?
(A) 55000
(B) 45000
(C) 75000
(D) None of these
22. The average of a cricket player in 10 innings is 33. How many runs in next innings to raise average by 3?
(A) 66
(B) 56
(C) 76
(D) None of these
23. Four people live in a house. There are 22 houses in one street. How many people live in the street?
(A) 88
(B) 98
(C) 78
(D) None of these
24. On a map, 1/2 inch = 12 km. Distance of 5-2/3 inches equals?
(A) 130 km
(B) 140 km
(C) 136 km
(D) None of these
25. If in two hours three lawns are completed, how many in ten hours?
(A) 12 lawns
(B) 15 lawns
(C) 13 lawns
(D) None of these
26. What is the simplest ratio of 0.35/0.65?
(A) 9/15
(B) 3/17
(C) 7/13
(D) None of these
27. A garrison has provision for 30 days for certain men. If 2/3 of them do not attend the mess, food will last for?
(A) 90 days
(B) 50 days
(C) 60 days
(D) 65 days
28. For f(x) = -3x² – 2x + 1, find |f(1)|.
(A) 4
(B) 3
(C) 2
(D) None of these
29. If the price of an article is Rs 945 including 5% GST, the original price is _____.
(A) 900
(B) 920
(C) 905
(D) None of these
30. On a certain item the price decreases to 0.42 from 0.62. What is the percentage discount?
(A) 32%
(B) 34%
(C) 33%
(D) 37%
31. The price of a bicycle is Rs 6480 inclusive of 8% GST. What is the original price?
(A) 5900
(B) 5800
(C) 6000
(D) None of these
32. If log₁₀2 = 0.3010, then log₂10 equals _____.
(A) 1000/301
(B) 699/301
(C) 0.3010
(D) None of these
33. The average marks of four subjects is 120. If 33 was misread as 13, the correct average is?
(A) 125
(B) 122
(C) 120
(D) None of these
34. If a fraction multiplied by itself and divided by its reciprocal equals 18 26/27, what is the original fraction?
(A) 3.66
(B) 2.67
(C) 1.33
(D) None of these
35. If a * b = a + b + ab, then 3 * 4 − 2 * 3 equals?
(A) 6
(B) 8
(C) 10
(D) None of these
36. If 40% of a number equals two-thirds of another, what is the ratio of the first to the second?
(A) 3:7
(B) 7:3
(C) 5:3
(D) None of these
37. A ladder leans at 60° and its foot is 12.4 m from the wall. Length of the ladder?
(A) 24.8 meters
(B) 6.4 meters
(C) 12.4 meters
(D) None of these
38. If the angle of elevation of a tower from 100 m away is 60°, the height is _____.
(A) 50√3 m
(B) 100√3 m
(C) 1000√3 m
(D) None of these
39. A & B together finish a work in 3 days. They work 2 days together; B leaves; work finishes 2 days later. B alone could do it in ____?
(A) 5 days
(B) 9 days
(C) 6 days
(D) None of these
40. Two sections A and B have 36 and 44 students; averages 40 kg and 35 kg. Average of whole class?
(A) 37.25 kg
(B) 37.85 kg
(C) 35.25 kg
(D) None of these
41. A shopkeeper purchases 5 cartons for 105 and 8 cartons for 155. Each carton has 5 items. Average price per item is _____.
(A) 4
(B) 3
(C) 5
(D) None of these
42. The mean weight of 100 students is 46 kg. Mean of boys is 50 and girls 40. Number of boys?
(A) 40
(B) 50
(C) 60
(D) None of these
43. A car gets 15 mpg and travels 250 miles on a full tank. If it got 20 mpg, miles on a full tank?
(A) 333.4
(B) 336.2
(C) 338.6
(D) None of these
44. CI on Rs.1875 after 2 years if rate is 4% first year and 8% second year?
(A) 247
(B) 231
(C) 274
(D) None of these
45. A rectangular lawn 80 m by 60 m has two 10 m wide roads through the middle (both directions). Cost to gravel at Rs.30/m²?
(A) 39000
(B) 30000
(C) 3900
(D) None of these
46. (3/5)^3 × (3/5)^−6 = (3/5)^{2x−1}. Find x.
(A) −1
(B) 0
(C) 1
(D) None of these
47. Price of 357 mangoes is Rs.1517.25. Approximate price of 49 dozen?
(A) 2000
(B) 4000
(C) 2500
(D) None of these
48. Two trains in opposite directions at 62 km/h and 40 km/h. One train is 260 m; they cross in 18 s. Length of other train?
(A) 250 meter
(B) 240 meter
(C) 260 meter
(D) None of these
49. A is 4 times as fast as B and finishes work 45 days earlier than B. A & B together can finish in how many days?
(A) 15 days
(B) 12 days
(C) 18 days
(D) None of these
50. Ali earns Rs 7500 in 2 weeks working 6 days/week. What will he earn in 2 days?
(A) 1250
(B) 1300
(C) 1200
(D) None of these
51. 12 water pumps empty a tank in 20 minutes. If 2 are out of order, time taken by remaining pumps?
(A) 24 minutes
(B) 20 minutes
(C) 28 minutes
(D) None of these
52. If 3^{x+3} + 7 = 250, then x equals?
(A) 3
(B) 4
(C) 2
(D) None of these
53. A two-digit number is three times the sum of its digits. Adding 45 reverses the digits. The number is?
(A) 26
(B) 27
(C) 25
(D) None of these
54. A man borrows 60,000 at 9% simple interest. What amount does he repay after 3 years?
(A) 76200
(B) 16200
(C) 70200
(D) None of these
55. David obtained 76, 65, 82, 67, 85 (out of 100). Average marks?
(A) 75
(B) 65
(C) 68
(D) None of these
56. What is the radius of a basketball of volume 6400 cm³?
(A) 12.52 cm
(B) 11.52 cm
(C) 10.52 cm
(D) None of these
57. A photograph 5.5 cm by 9 cm is enlarged in the ratio 7:5. New length and width?
(A) 7.7 cm by 12.6 cm
(B) 7.8 cm by 12.5 cm
(C) 7.8 cm by 12.7 cm
(D) None of these
58. The mean of 5 numbers is 34. Three are 29, 26, 35; the remaining two are in ratio 1:3. Find the numbers.
(A) 35,45
(B) 20,60
(C) 10,40
(D) None of these
59. The sum of squares of two positive integers is 100 and the difference of their squares is 28. Sum of the numbers?
(A) 15
(B) 24
(C) 27
(D) 14
60. Which of the following is equal to 3.14 × 10^6?
(A) 3140000
(B) 31400
(C) 314
(D) None of these
61. Which fraction is greater than 3/4 and less than 5/6?
(A) 9/10
(B) 2/3
(C) 1/2
(D) 4/5
62. A worker is paid Rs. 2130 for 6 days. If his monthly wages total Rs. 9230, how many days did he work?
(A) 26
(B) 28
(C) 19
(D) 30
63. P is 6 times greater than Q. By what percent is Q smaller than P?
(A) 84%
(B) 85.5%
(C) 83.33%
(D) 80%
64. A can do a job in 4 hours; B and C together in 3 hours; A and C together in 2 hours. B alone will take?
(A) 12 hours
(B) 10 hours
(C) 24 hours
(D) 8 hours
65. Feral means _____.
(A) Well planned
(B) Over weight
(C) Wild
(D) None of these
66. If 5^x = 125 × 625 / 25, then x equals?
(A) 5
(B) 125
(C) 625
(D) 75
67. Rs. 1200 is lent at 5% p.a. simple interest for 3 years. Amount after 3 years?
(A) 1380
(B) 1290
(C) 1470
(D) 1200
68. A person buys a shirt for 470 and sells for 540. Approximate profit percentage?
(A) 12%
(B) 15%
(C) 13%
(D) None of these
69. A school has four classes with 10, 20, 30, 40 students; pass % are 20%, 30%, 60%, 100%. Pass % of entire school?
(A) 56%
(B) 44%
(C) 66%
(D) None of these
70. If x = 7 − 4√3, find x + (1/x).
(A) 14
(B) 27
(C) 22
(D) 29
71. When 52416 is divided by 312, the quotient is 168. What is the quotient when 52.416 is divided by 0.0168?
(A) 3.12
(B) 312
(C) 3120
(D) None of these
72. If A and B together can complete a work in 15 days and B alone in 20 days, then A alone can complete in?
(A) 30 days
(B) 60 days
(C) 20 days
(D) None of these
73. A man’s annual production sells for 3,481,600. 10% of this is _____.
(A) 348160
(B) 35000
(C) 34670
(D) None of these
74. If a person pays Zakat of Rs. 8500, what is the total wealth?
(A) Rs. 212,500
(B) Rs. 340,000
(C) Rs. 425,000
(D) Rs. 170,000
75. The sum of ages of father and son is 100. Five years ago, their ages were in ratio 2:1. Ratio after 10 years?
(A) 4:3
(B) 5:3
(C) 10:7
(D) None of these
76. (7x − 1) = (4x + 8). Find x.
(A) −3
(B) 1
(C) 3
(D) None of these
77. A man takes a loan of 65000 at 3% annually. In how many years does the interest become 68900?
(A) 4
(B) 2
(C) 3
(D) None of these
78. A man’s annual production sells for 75,000. 10% of this is _____.
(A) 7500
(B) 6500
(C) 5500
(D) 4400
79. There are 27 students; girls are 7 more than boys. Total girls?
(A) 10
(B) 19
(C) 14
(D) 17
80. The average of 6 numbers is 30. The average of the first four is 25 and of the last three is 35. The fourth number is?
(A) 15
(B) 30
(C) 25
(D) 20
81. How many seconds are there in 27 minutes?
(A) 1640
(B) 1660
(C) 1620
(D) 1600
82. If (2x+3)(ax−5) = 12x² + bx − 15 for all x, what is b?
(A) 06
(B) 08
(C) 10
(D) 12
83. Malti bought a TV for ₹ 8,800 including GST at 10%. What is the original cost?
(A) ₹8,000
(B) ₹8,800
(C) ₹9,600
(D) None of these
84. Each day Robert eats 40% of the pistachios left in his jar. At the end of the second day, 27 remain. How many were there initially?
(A) 75
(B) 80
(C) 90
(D) 40
85. A takes 6 days less than B to finish a work. Together they finish in 4 days. Time taken by B alone?
(A) 12
(B) 14
(C) 16
(D) 18
86. The radius of a circle is 1 cm. Find its area.
(A) 3.14 cm²
(B) 4.14 cm²
(C) 3.14 mm
(D) None of these
87. Aaron has 3 times as much money as Josh. If Aaron gives Josh $50, Josh will then have 3 times as much as Aaron. Their total money is?
(A) $100
(B) $110
(C) $135
(D) $150
88. A and B have the same amount at first. After A gave B $50, B had 5 times as much as A left. How much do A and B have at first?
(A) 75 dollar
(B) 50 dollar
(C) 100 dollar
(D) None of these
89. 125 people finish a work in 120 days. Number of people required to finish in 100 days?
(A) 150
(B) 100
(C) 125
(D) 190
90. Chand bought a shirt for Rs.250 and sold it for Rs.295. Find the profit.
(A) 45
(B) 29
(C) 30
(D) 50
91. If (3a−5b)/(3a+5b) = 5, then a:b equals
(A) 5:1
(B) 4:6
(C) 4:9
(D) 5:2
92. If the radius of a circle is doubled, how much does its area increase?
(A) 4 times
(B) 5 times
(C) 2 times
(D) None
93. A person sells an article for Rs.180 and loses 10%. To make a 10% profit, he must sell at?
(A) 220
(B) 200
(C) 250
(D) 340
94. If x = 0.5 and y = 0.2, then √0.6 × (3y)^x equals?
(A) 0.6
(B) 0.5
(C) 1.0
(D) None of these
95. 30% of a number when subtracted from 91 gives the number itself. Find the number.
(A) 20
(B) 30
(C) 40
(D) 50
96. x(yz) − (xy)z is a representation of the:
(A) associate law
(B) distributive law
(C) multiplicative law
(D) addition law
97. What is the wavelength of a 440 Hz sound wave if speed of sound is 340 m/s?
(A) 0.873 m
(B) 0.473 m
(C) 0.773 m
(D) None
98. If the volumes of two cubes are in the ratio 8:1, then the ratio of their edges is
(A) 2:1
(B) 3:5
(C) 6:8
(D) None
99. The sum of two numbers is 37 and the difference of their squares is 185. The difference of the numbers is
(A) 4
(B) 2
(C) 3
(D) 5