General mental ability and basic numeracy concepts - Question Bank

1. If the sum of the first n natural numbers is 210, what is the value of n?
A) 15
B) 20
C) 21
D) 25
2. What is the percentage increase if a price increases from Rs. 80 to Rs. 100?
A) 20%
B) 25%
C) 30%
D) 40%
3. If a man can row at 10 km/hr in still water, and the river flows at 2 km/hr, what is the time taken by him to travel 24 km downstream?
A) 2 hours
B) 3 hours
C) 4 hours
D) 6 hours
4. What is the mode of the following dataset: 5, 3, 5, 7, 5, 3, 8?
A) 3
B) 5
C) 7
D) 8
5. If the sum of two numbers is S and their difference is D, what are the numbers?
A) (S+D)/2 and (S-D)/2
B) (S-D)/2 and (S+D)/2
C) S+D and S-D
D) S/2 and D/2
6. What is the value of (3/4) / (1/2)?
A) 1/2
B) 3/2
C) 3/8
D) 6
7. If a train 150 meters long crosses a platform 250 meters long in 20 seconds, what is the speed of the train?
A) 10 m/s
B) 15 m/s
C) 20 m/s
D) 25 m/s
8. What is the median of the dataset: 3, 7, 2, 8, 5?
A) 3
B) 5
C) 7
D) 8
9. If the length of a rectangle is increased by 10% and the width is decreased by 10%, what is the net change in area?
A) 1% increase
B) 1% decrease
C) 10% increase
D) 10% decrease
10. What is the value of 0.5 * 0.05?
A) 0.025
B) 0.25
C) 0.0025
D) 0.05
11. If a sum of money is invested at compound interest, it doubles in 7 years. In how many years will it become 8 times itself?
A) 14 years
B) 21 years
C) 28 years
D) 35 years
12. What is the greatest common divisor (GCD) of 12 and 18?
A) 2
B) 3
C) 6
D) 9
13. If the area of a circle is 154 sq cm, what is its diameter? (Use pi = 22/7)
A) 7 cm
B) 14 cm
C) 22 cm
D) 49 cm
14. What is the sum of the interior angles of a triangle?
A) 90 degrees
B) 180 degrees
C) 270 degrees
D) 360 degrees
15. If a boat travels downstream at 15 km/hr and upstream at 5 km/hr, what is the speed of the boat in still water?
A) 5 km/hr
B) 10 km/hr
C) 15 km/hr
D) 20 km/hr
16. What is the value of (100 - 50) / 5?
A) 5
B) 10
C) 50
D) 95
17. If A's income is 20% more than B's income, by what percentage is B's income less than A's income?
A) 16.67%
B) 20%
C) 25%
D) 15%
18. What is the next term in the arithmetic progression: 5, 11, 17, 23, ...?
A) 27
B) 29
C) 30
D) 32
19. If the circumference of a circle is 44 cm, what is its radius? (Use pi = 22/7)
A) 3.5 cm
B) 7 cm
C) 14 cm
D) 22 cm
20. What is the square root of 144?
A) 10
B) 11
C) 12
D) 13
21. If a number is increased by 20% and then decreased by 20%, what is the net percentage change?
A) 0%
B) 4% increase
C) 4% decrease
D) 2% decrease
22. What is the volume of a cube with side length 4 cm?
A) 16 cubic cm
B) 32 cubic cm
C) 64 cubic cm
D) 128 cubic cm
23. If a sum of money doubles in 5 years at simple interest, in how many years will it become 5 times the original sum?
A) 10 years
B) 15 years
C) 20 years
D) 25 years
24. What is the value of (2^3) * (2^2)?
A) 2^5
B) 2^6
C) 4^5
D) 8^2
25. If the average of 5 numbers is 15, and one number is removed, the average becomes 12. What is the removed number?
A) 27
B) 30
C) 24
D) 33
26. What is the probability of drawing a red card from a standard deck of 52 playing cards?
A) 1/2
B) 1/4
C) 1/13
D) 1/26
27. If a person walks 5 km north and then 12 km east, what is the shortest distance from the starting point?
A) 13 km
B) 17 km
C) 7 km
D) 10 km
28. What is the difference between the sum of the first 5 even numbers and the sum of the first 5 odd numbers?
A) 0
B) 5
C) 10
D) 15
29. If a clock shows 3:30, what is the angle between the hour hand and the minute hand?
A) 45 degrees
B) 60 degrees
C) 75 degrees
D) 90 degrees
30. What is the value of x if x/3 = 12?
A) 4
B) 15
C) 36
D) 9
31. In a class of 60 students, 40% are girls. How many boys are there?
A) 24
B) 36
C) 30
D) 40
32. If the cost price of an article is Rs. 200 and the selling price is Rs. 160, what is the loss percentage?
A) 10%
B) 15%
C) 20%
D) 25%
33. What is the next number in the series: 1, 1, 2, 3, 5, 8, ...?
A) 11
B) 13
C) 16
D) 21
34. If the speed of a car is 50 km/hr, and it travels for 3.5 hours, what is the distance covered?
A) 150 km
B) 175 km
C) 200 km
D) 165 km
35. What is the least common multiple (LCM) of 6 and 8?
A) 12
B) 16
C) 24
D) 48
36. If it takes 4 hours for 3 machines to produce 12 units, how many units can 6 machines produce in 8 hours?
A) 24
B) 48
C) 36
D) 96
37. What is the ratio of 500 grams to 2 kilograms?
A) 1:2
B) 1:4
C) 2:1
D) 4:1
38. Which of the following is a prime number?
A) 9
B) 15
C) 17
D) 21
39. If a number is divided by 7 and the quotient is 5 with a remainder of 3, what is the number?
A) 35
B) 38
C) 32
D) 40
40. What is the value of (5 + 3) * 2?
A) 16
B) 11
C) 10
D) 8
41. If the perimeter of a square is 36 cm, what is the length of its side?
A) 6 cm
B) 9 cm
C) 12 cm
D) 18 cm
42. A shopkeeper buys an item for Rs. 400 and sells it for Rs. 500. What is his profit percentage?
A) 10%
B) 20%
C) 25%
D) 30%
43. Find the average of the numbers 10, 20, and 30.
A) 15
B) 20
C) 25
D) 30
44. What is 25% of 200?
A) 25
B) 50
C) 75
D) 100
45. If 3 men can do a job in 10 days, how many days will it take for 5 men to do the same job (assuming they work at the same rate)?
A) 16 days
B) 12 days
C) 6 days
D) 8 days
46. Which number comes next in the sequence: 2, 4, 6, 8, ...?
A) 9
B) 10
C) 12
D) 11
47. If a rectangle has a length of 10 cm and a width of 5 cm, what is its area?
A) 15 sq cm
B) 50 sq cm
C) 25 sq cm
D) 100 sq cm
48. What is the sum of the first 10 natural numbers?
A) 45
B) 55
C) 50
D) 60
49. If a train travels at 60 km/hr, how long will it take to cover a distance of 180 km?
A) 2 hours
B) 3 hours
C) 4 hours
D) 5 hours
50. What is the value of x if 2x + 5 = 15?
A) 5
B) 10
C) 7
D) 20
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