arithmetical reasoning - Question Bank

1. The area of a circle is 154 sq cm. What is its circumference? (Use pi = 22/7)
A) 32 cm
B) 38 cm
C) 44 cm
D) 50 cm
2. A clock gains 5 minutes every hour. If it is set correctly at noon, what time will it show at 4 PM on the same day?
A) 4:15 PM
B) 4:20 PM
C) 4:25 PM
D) 4:30 PM
3. The sum of the digits of a two-digit number is 9. If the digits are reversed, the new number is 27 greater than the original number. What is the original number?
A) 36
B) 45
C) 54
D) 63
4. A number is increased by 10% and then decreased by 10%. The net result is:
A) 1% increase
B) 1% decrease
C) No change
D) 10% increase
5. If the price of 5 kg of sugar is Rs. 150, how many kg of sugar can be bought for Rs. 300?
A) 8 kg
B) 10 kg
C) 12 kg
D) 15 kg
6. A boat travels downstream at 20 km/hr and upstream at 10 km/hr. What is the speed of the boat in still water?
A) 10 km/hr
B) 12.5 km/hr
C) 15 km/hr
D) 17.5 km/hr
7. The perimeter of a triangle is 30 cm. If two sides are 10 cm and 12 cm, what is the length of the third side?
A) 6 cm
B) 8 cm
C) 10 cm
D) 12 cm
8. If 30% of a number is 150, what is 60% of that number?
A) 250
B) 300
C) 350
D) 400
9. A sum of Rs. 1200 is invested for 2 years at 10% per annum simple interest. What is the interest earned?
A) Rs. 200
B) Rs. 240
C) Rs. 250
D) Rs. 260
10. The ratio of the ages of A and B is 5:7. After 4 years, the ratio of their ages will be 3:4. What is the present age of A?
A) 10 years
B) 15 years
C) 20 years
D) 25 years
11. What is the smallest number by which 72 must be multiplied to get a perfect square?
A) 1
B) 2
C) 3
D) 4
12. If 12 men can build a wall in 10 days, how many days will it take 15 men to build the same wall?
A) 8 days
B) 9 days
C) 10 days
D) 12 days
13. A train passes a platform 100 meters long in 10 seconds and a pole in 2 seconds. What is the speed of the train?
A) 30 m/s
B) 40 m/s
C) 50 m/s
D) 60 m/s
14. The product of three consecutive integers is 210. What is the largest integer?
A) 5
B) 6
C) 7
D) 8
15. A shopkeeper sells two articles for Rs. 1000 each. On one, he gains 10% and on the other, he loses 10%. What is his overall gain or loss percentage?
A) 1% gain
B) 1% loss
C) 2% gain
D) 2% loss
16. The average age of 10 students is 15 years. If the age of their teacher is included, the average age increases by 2 years. What is the age of the teacher?
A) 30 years
B) 32 years
C) 35 years
D) 37 years
17. A sum of money is divided among A, B, and C in the ratio 2:3:7. If C's share is Rs. 2800, what is the total sum?
A) Rs. 4800
B) Rs. 5600
C) Rs. 6400
D) Rs. 7200
18. The length of a rectangle is twice its width. If its area is 72 sq cm, what is its perimeter?
A) 24 cm
B) 30 cm
C) 36 cm
D) 48 cm
19. If 60% of a number is 300, then what is 80% of that number?
A) 350
B) 400
C) 450
D) 500
20. A sum of money invested at compound interest becomes 8 times in 3 years. In how many years will it become 16 times?
A) 4 years
B) 5 years
C) 6 years
D) 8 years
21. Three numbers are in the ratio 2:3:4. The sum of their squares is 116. What are the numbers?
A) 2, 3, 4
B) 4, 6, 8
C) 6, 9, 12
D) 8, 12, 16
22. The cost price of 10 articles is equal to the selling price of 8 articles. The gain percentage is:
A) 10%
B) 15%
C) 20%
D) 25%
23. A person travels from point A to B at 40 km/hr and returns from B to A at 60 km/hr. What is the average speed for the entire journey?
A) 48 km/hr
B) 50 km/hr
C) 52 km/hr
D) 55 km/hr
24. If the diagonal of a square is 10 cm, what is its area?
A) 25 sq cm
B) 50 sq cm
C) 75 sq cm
D) 100 sq cm
25. The sum of the first 10 even numbers is:
A) 100
B) 110
C) 120
D) 130
26. A man buys a watch for Rs. 500 and sells it for Rs. 600. What is his profit percentage?
A) 10%
B) 20%
C) 25%
D) 30%
27. In what ratio must rice at Rs. 50/kg be mixed with rice at Rs. 60/kg so that the mixture is worth Rs. 55/kg?
A) 1:1
B) 2:1
C) 1:2
D) 3:1
28. A rectangle has a length of 12 cm and a width of 8 cm. What is its area?
A) 20 sq cm
B) 40 sq cm
C) 96 sq cm
D) 192 sq cm
29. If a number is multiplied by 3 and 5 is subtracted from it, the result is 16. What is the number?
A) 5
B) 6
C) 7
D) 8
30. The sum of the ages of a father and son is 60 years. If the father's age is 3 times the son's age, what is the son's age?
A) 15 years
B) 20 years
C) 25 years
D) 30 years
31. A car travels the first 100 km at a speed of 50 km/hr and the next 100 km at a speed of 40 km/hr. What is the average speed for the entire journey?
A) 44.44 km/hr
B) 45 km/hr
C) 48.5 km/hr
D) 50 km/hr
32. The price of 10 pens is Rs. 50. What is the price of 15 pens?
A) Rs. 60
B) Rs. 70
C) Rs. 75
D) Rs. 80
33. If 15% of a number is 75, then what is 20% of that number?
A) 90
B) 100
C) 110
D) 120
34. A man walks 5 km North, then 4 km East, then 3 km South. How far is he from his starting point?
A) 3 km
B) 4 km
C) 5 km
D) 6 km
35. The difference between the ages of two brothers is 5 years. If the sum of their ages is 25 years, what is the age of the elder brother?
A) 10 years
B) 15 years
C) 20 years
D) 25 years
36. What is the smallest number that must be added to 3000 to make it a perfect square?
A) 58
B) 64
C) 72
D) 81
37. A can complete a work in 10 days and B can complete it in 15 days. In how many days can they complete the work together?
A) 5 days
B) 6 days
C) 7 days
D) 8 days
38. The ratio of two numbers is 3:5. If the sum of the numbers is 80, what is the larger number?
A) 30
B) 40
C) 50
D) 60
39. A number is increased by 20% and then decreased by 20%. The net percentage change is:
A) 4% increase
B) 4% decrease
C) No change
D) 20% decrease
40. Two trains start at the same time from two stations, A and B, towards each other. The speed of the first train is 60 km/hr and the second is 40 km/hr. If the distance between stations A and B is 500 km, after how much time will they meet?
A) 4 hours
B) 4.5 hours
C) 5 hours
D) 5.5 hours
41. The perimeter of a square is 48 cm. What is its area?
A) 100 sq cm
B) 121 sq cm
C) 144 sq cm
D) 169 sq cm
42. A shopkeeper marks the price of an article 20% above its cost price and then offers a 10% discount. What is his gain percentage?
A) 8%
B) 10%
C) 12%
D) 18%
43. In a class, the number of boys is twice the number of girls. If there are 60 students in total, how many girls are there?
A) 15
B) 20
C) 30
D) 40
44. A sum of money doubles itself in 10 years at simple interest. What is the rate of interest per annum?
A) 5%
B) 10%
C) 15%
D) 20%
45. The average of 5 numbers is 20. If one number is excluded, the average becomes 15. What is the excluded number?
A) 20
B) 25
C) 35
D) 40
46. A clock shows 3:30 PM. Through what angle (in degrees) will the hour hand move in the next 30 minutes?
A) 5 degrees
B) 10 degrees
C) 15 degrees
D) 30 degrees
47. If 5 men can do a piece of work in 10 days, in how many days can 10 men do the same work?
A) 5 days
B) 10 days
C) 15 days
D) 20 days
48. A person buys 10 articles for Rs. 100 and sells them for Rs. 120. What is the profit percentage?
A) 10%
B) 15%
C) 20%
D) 25%
49. The sum of two numbers is 120 and their difference is 30. What are the numbers?
A) 75 and 45
B) 80 and 40
C) 70 and 50
D) 90 and 30
50. A train travels 150 meters in 15 seconds. What is its speed in km/hr?
A) 36 km/hr
B) 54 km/hr
C) 72 km/hr
D) 90 km/hr
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