Important Arithmetical reasoning Questions with Answer For SSC CGL
1. The age of the father 4 years ago was 8 times the age of his son. At present, the father’s age is 4 times that of his son. Find the present age of son.
(1) 9 years
(2) 7 years
(3) 14 years
(4) 18 years
2. Nikhil is 8 years younger than his brother Rohan. How old will Rohan be when he is twice as old as Nikhil ?
(1) 4 years
(2) 6 years
(3) 8 years
(4) 16 years
3. The average age of 19 boys in a class is 21 years. If the teacher’s age is included, the average increases to 22 years. What is the teacher’s age?
(1) 39 years
(2) 41 years
(3) 40 years
(4) 44 years
4. A man is 3 years older than his wife and four times as old as his son. If the son becomes 15 years old after 3 years, then what is the present age of the wife?
(1) 60 years
(2) 51 years
(3) 48 years
(4) 45 years
5. The sum of present age of father and his son is 60 years. Six years ago, father’s age was five times the age of the son. After 6 years, son’s age will be :
(1) 45
(2) 25
(3) 20
(4) 33
6. The sum of the ages of father and a son presently is 70 years. After 10 years, the son’s age is exactly half that of the father. What are their ages now?
(1) 45 years, 25 years
(2) 50 years, 20 years
(3) 47 years, 23 years
(4) 50 years, 25 years
7. If 4 cats can kill 4 rats in 4 minutes, how many minutes will it take 8 cats to kill 8 rats?
(1) 8
(2) 4
(3) 2
(4) 16
8. A man is engaged for planting trees for 10 hours. He plants 10 trees in an hour. He takes rest for 30 minutes after every hour. How many trees does he plant in 10 hours ?
(1) 100
(2) 50
(3) 70
(4) 45
9. Certain equations are based on a certain system. Find out the correct answer for unsolved equation on that basis : If 14 × 13 = 128 and 16 × 13 = 280 then 15 × 11 = ?
(1) 516
(2) 156
(3) 165
(4) 615
10. Some equations are solved on the basis of certain system. On the same basis find the correct answer for the unsolved equation. If 13 × 12 = 651 and 41 × 23 = 448, then 24 × 22 = ?
(1) 504
(2) 46
(3) 528
(4) 924
11. A bus leaves Delhi with half the number of women as men. At Meerut, ten men get down and five women get in. Now there are equal number of men and women. How many passengers boarded the bus initially at Delhi ?
(1) 36
(2) 45
(3) 15
(4) 30
12. Find out the correct answer for the unsolved equation on the basis of the given equations. If 6 * 5 = 91, 8 * 7 = 169, 10 * 7 = 211 then 11 * 10 = ?
(1) 331
(2) 993
(3) 678
(4) 845
13. A bus left with some definite number of passengers. At the first stop, half the passengers left the bus and 35 boarded the bus. At the second stop 15 th of the passengers left and 40 boarded the bus. Then, the bus moved with 80 passengers towards its destination without stopping anywhere. How many passengers were there originally ?
(1) 25
(2) 30
(3) 40
(4) 50
14. KSRTC bus left Bangalore for Tumkur at an average speed of 50 km/hr. An hour later a car left the same station following the bus at an average speed of 75 km/hr. How far from Bangalore did the car overtake the bus ?
(1) 200 km
(2) 100 km
(3) 150 km
(4) 175 km
15. Two cars leave the same place at the same time. One runs at 20 km/ hr towards north and the other at 15 km/hr towards east. What will be the distance between them (in km) after 2 hours of travelling ?
(1) 25
(2) 50
(3) 70
(4) 10
16. In a double track rail route, two trains start simultaneously from the opposite stations, 200km apart. The train A runs westwards at a speed of 50 kmph and the opposite train B runs eastwards at 40 kmph. After 3 hours, what will be the distance between these two trains?
(1) 30 kms
(2) 50 kms
(3) 80 kms
(4) 70 kms
17. 1/2 of a number is greater than 1/3 of that number by 17. What is the number?
(1) 54
(2) 84
(3) 102
(4) 112
18. If the amount Rama has is more than what Ravi has by 1/3rd and Ravi has 4 rupees less than Rama, what is the amount in rupees that Rama has?
(1) 16
(2) 12
(3) 8
(4) 6
19. A person while buying a dress on sale spends Rs. 45 and saves Rs. 5, what is the percentage of his savings?
(1) 5%
(2) 10%
(3) 15%
(4) 20%
20. 2 litre of pure alcohol is added to 6 litre, 40% alcohol solution. The percentage of water in the solution is _____ .
(1) 65%
(2) 45%
(3) 55%
(4) 60%
21. The perimeter and area of a rectangle are 32 and 60 respectively. What is its breadth?
(1) 10
(2) 16
(3) 6
(4) 30
22. The length of a room is twice its breadth. If the area of the room is 242 sq. metres, find out its breadth.
(1) 11m
(2) 10m
(3) 12m
(4) 9m
23. The ratio of the ages of man and his wife is 4:3. After 4 years, the ratio will be 9:7. If at the time of marriage, the ratio was 5:3, how many years ago were they married?
(1) 12
(2) 24
(3) 5
(4) 8
24. In 5 years, Rs. 5000 amounts to Rs. 9000. In what time at the same rate will Rs. 600 amount to Rs. 900?
(1) 5 years
(2) 3 years
(3) 6 years
(4) 2 years
25. A boat can travel with a speed of 30 km/hr in still water. If the speed of the stream is 6 km/hr, find the time taken by the boat to go 108 km downstream.
(1) 2 hrs
(2) 5 hrs
(3) 3 hrs
(4) 4 hrs
