1. A flagstaff 17.5 m high casts a shadow of length 40.25 m. The height of the building, which casts a shadow of length 28.75 m under similar conditions will be?
(A) 10 m
(B) 17.5 m
(C) 12.5 m
(D) 21.25 m
2. One Kilometer is equal to ______ metres.
(A) 100 metres
(B) 1000 metres
(C) 10000 metres
(D) None of these
3. Which of the following fractions is less than 7/8 and greater than 1/3?
(A) 17/24
(B) 1/4
(C) 23/24
(D) 11/12
4. What is the minimum length of runway of Javelin throw?
(A) 30 m
(B) 35 m
(C) 32 m
(D) 40 m
5. Find the average of 5/6, 4/3, 3/4.
(A) 1
(B) 35/36
(C) 38/37
(D) 6/5
6. If the sum of two numbers is 30 and their difference is 8, what is their product?
(A) 201
(B) 208
(C) 202
(D) 209
7. Which of the following ratios is the largest?
(A) 7:15
(B) 15:23
(C) 21:29
(D) None of these
8. If (7^a)(7^b) = (7^c)(7^d), what is d in terms of a, b and c?
(A) c – ab
(B) c/ab
(C) a + b – c
(D) c – a – b
9. A toy is sold for Rs. 220, what was the cost if the rate of profit was 10% of the cost?
(A) Rs.196
(B) Rs.198
(C) Rs.200
(D) Rs.210
10. What is a subsidy?
(A) A tax imposed by the government
(B) A loan given by the government
(C) A benefit given to individuals or businesses by the government
(D) A fine charged by the government
11. What does a trade surplus mean?
(A) Imports are greater than exports
(B) Exports are greater than imports
(C) Both exports and imports are equal
(D) There is no international trade
12. A train covers a distance in 5 hours at 45 km/h. What speed is required to cover the same distance in 3 hours?
(A) 60 km/h
(B) 70 km/h
(C) 75 km/h
(D) 90 km/h
13. If the height of a triangle is 4 cm less than its base, and the hypotenuse is 10 cm, find the other sides.
(A) Base = 10 cm, Height = 6 cm
(B) Base = 8 cm, Height = 4 cm
(C) Base = 12 cm, Height = 8 cm
(D) None of these
14. Ali has 20 Rs and Asim has 16 Rs. What is the ratio between them?
(A) 4:5
(B) 5:4
(C) 3:4
(D) 2:3
15. Simplify:
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2
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16. The sum of two numbers is 25, and their difference is 13. What is the product of the two numbers?
(A) 120
(B) 130
(C) 114
(D) 112
17. Solve 0.003 × 0.02.
(A) 0.06
(B) 0.006
(C) 0.0006
(D) 0.00006
18. What is the ratio of 8 inches to 7 feet?
(A) 2:20
(B) 2:21
(C) 1:10
(D) 8:7
19. A line segment’s ratio is 4:6. How many parts are needed to divide it?
(A) 4
(B) 6
(C) 10
(D) 2
20. If an object falls 27 m and rebounds two-thirds each time, what is the total distance?
(A) 105 m
(B) 135 m
(C) 54 m
(D) 120 m
21. If scores are 75, 80, 85, what number makes the average 80?
(A) 78
(B) 80
(C) 82
(D) 79
22. A tank can be filled by pipe A in 3 hours and pipe B in 5 hours. At 7 am, pipe A was opened. At what time will the tank be filled if pipe B was opened at 8 am?
(A) 9:30 am
(B) 9:15 am
(C) 9:45 am
(D) None of these
23. The total cost of placing an advertisement has a fixed cost of $3.50 and a variable cost of $0.25 per word. What is the total cost for 22 words?
(A) $9.00
(B) $7.00
(C) $8.00
(D) None of these
24. A train travels 16 km in 20 minutes. What is the speed of the train in km/h?
(A) 36 km/h
(B) 45 km/h
(C) 48 km/h
(D) 50 km/h
25. If the average weight of 7 people is 70 kg, and one person of 80 kg is replaced with a person of 60 kg, what is the new average weight?
(A) 68 kg
(B) 67.14 kg
(C) 70 kg
(D) 71 kg
26. Out of three numbers, the first is twice the second and thrice the third. If their average is 154, what is the difference between the first and the third number?
(A) 168
(B) 126
(C) 166
(D) None of these
27. 0.04 × 0.0162 × 0.001 is equal to:
(A) 0.000000648
(B) 0.0000648
(C) 0.00000648
(D) None of these
28. What is the average of the first 100 natural numbers?
(A) 25.5
(B) 50
(C) 50.5
(D) None of these
29. One KB equals?
(A) 1024 kilobytes
(B) 1024 bytes
(C) 1024 megabytes
(D) None of these
30. (0.49)^4 × (0.343)^4 ÷ (0.2401)^4 = (70 ÷ 100) ^ ?
(A) 3
(B) 1
(C) 4
(D) 7
31. If a person pays Zakat as Rs. 8500, what is the total amount of their wealth?
(A) Rs. 212,500
(B) Rs. 340,000
(C) Rs. 425,000
(D) Rs. 170,000
32. 4.036 divided by 0.04 equals?
(A) 100.9
(B) 101.0
(C) 100.0
(D) 102.0
33. The angle of depression of a point at a distance of 70 m from the base of a tower is 60°. The height of the tower is:
(A) 35√3 m
(B) 70√3/3 m
(C) 70 m
(D) 70√3 m
34. The cost of an article was Rs.75. It was increased by 20% and later reduced by 20%. The present cost is:
(A) Rs.70
(B) Rs.72
(C) Rs.76
(D) Rs.75
35. A washerman irons 4 shirts in 12 minutes. How many shirts in one hour?
(A) 16
(B) 20
(C) 24
(D) 30
36. If m:n = 3:2, then (4m + 5n) : (4m − 5n) equals:
(A) 4:9
(B) 11:1
(C) 9:4
(D) 9:1
37. Find the 4th proportional to 4, 16 and 7.
(A) 29
(B) 28
(C) 22
(D) 25
38. An internet service provider charges a one-time setup fee of $100 and $50 each month for service. If c customers join at the same time and are on the service for m months, which expression represents the total amount charged?
(A) 100c + 50c
(B) 100c + 50m
(C) 100m + 50cm
(D) 150cm
39. If a = 7, b = 5 and c = 3, then the value of a² + b² + c² − ab − bc − ca is:
(A) −12
(B) 12
(C) 0
(D) 8
40. 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
41. 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
42. What is the ratio of 12 minutes to 1 hour?
(A) 1:6
(B) 1:12
(C) 1:5
(D) 1:9
43. Which regular expressions belong to R where R = ab + cb ?**
(A) ab
(B) abb
(C) cb
(D) All of these
44. If n(A) = 20, n(B) = 30, and n(A ∪ B) = 40, what is n(A ∩ B)?
(A) 5
(B) 10
(C) 15
(D) 20
45. A man left property of Rs. 640,000. A debt of Rs. 40,000 was due to him and Rs. 5,000 was spent on burial. Distribute according to Islamic Law among widow, 1 daughter, 2 sons — which amount matches the widow’s share?
(A) Rs. 64,375
(B) Rs. 74,375
(C) Rs. 84,375
(D) Rs. 94,375
46. If 8 men or 12 women can do a piece of work in 25 days, in how many days can 6 men and 11 women do the same work?
(A) 12 days
(B) 15 days
(C) 18 days
(D) 21 days
47. The product of two numbers is 9375 and the quotient (larger ÷ smaller) is 15. The sum of the numbers is:
(A) 425
(B) 395
(C) 380
(D) 400
48. In an examination 25% failed in Mathematics and 20% failed in English. If 5% failed in both, what percentage passed both subjects?
(A) 40%
(B) 60%
(C) 50%
(D) 70%
49. A die is rolled twice. Find the probability that 5 will come up both times.
(A) 1/36
(B) 6/36
(C) 18/36
(D) 4/36
50. Find the area of a circle whose circumference is 31.4 centimeters.
(A) 68.5 cm²
(B) 78.5 cm²
(C) 66.5 cm²
(D) 88.5 cm²