Hello, here I am providing you the questions of the numerical ability section of the IBPS as under:

1. If Acan do a piece of work in n days, then work done by Ain 1 day is 1/n. ie,if a person can do some work in 12 days, he does 1/ 12th of the work in one day.

2. If A s 1 day’s work = 1/n, then A can finish the whole work in n days. ie, if a person’s one day work is 1/10, then he can finish the whole work in 10 days.

3. If A is thrice as good a workman as B, then ratio of work done by A and B = 3 : 1. ie, if a man works three times as fast as a woman does, then when the work is complete, 3 parts of the work has been done by the man and 1 part by the woman.

4. If A is thrice as good a workman as B, then ratio of time taken by A and B = 1 : 3. ie, if the woman takes 15 days to complete the work, then the man takes 5 days to complete the same work.

5. If two persons A and B can individually do some work in a and b days respectively, then A and B together can complete the same work in ab (a + b) days.

6. The fundamental rules on variation also apply in Time and Work.
(i) Work and men are directly proportional to each other ie, if the work increases, the no. of men required to do it, also increases, if the work is to be completed in the same number of days.
(ii) Men and days are inversely proportional, ie, if the number of men increases, the number of days required to complete the same work decreases and vice versa.
(iii) Work and days are directly proportional, ie, if the work increases, the number of days required also increases, if the work is to be completed with the same number of men and vice versa.

How to Find the Square Root of an Integer?
(i) By the method of Prime Factors: When a given number is a perfect square, we resolve it into prime factors and take the product of prime factors, choosing one out of every two.

(ii) By the method of Long Division: This method can be used when the number is large and the factors cannot be determined easily. This method can also be used when we want to add a least number or to subtract a least number from a given number so that the resulting number may give a perfect square of some number.

7. The respective ratio of two numbers is 16 : 21. If the first number is increased by 30% and the second number is decreased by 20%, what will be the respective ratio of the first and the second number?

(1) 32 : 21
(2) 26 : 21
(3) 25 : 21
(4) 20 : 21
(5) 22 : 21

8. The present population of village P is 2.5 time the present population of village Q. If after a year the population of village Q is 16537 and has been increased at a rate of 15%. What is the present population of village P?

(1) 34740
(2) 38560
(3) 36820
(4) 35950
(5) 30350

Directions (Q. Nos. 11-15): What will come in place of question mark (?) in the given number series?

11. 29 31 37 49 69 ?


(1) 108
(2) 99
(3) 94
(4) 103
(5) 88

12. 13 13 20 37.5 83 ?

(1) 233
(2) 216
(3) 234
(4) 235
(5) 239

13. 17 16 30 87 344 ?

(1) 1735
(2) 1760
(3) 1660
(4) 1685
(5) 1715

14. 8 94 12.2 17.8 29 ?

(1) 53.6
(2) 51.4
(3) 52.1
(4) 48.6
(5) 49.8

15. 26 12 11 15.5 30 ?

(1) 72
(2) 68
(3) 74
(4) 82
(5) 78