## Number Solved Questions For IBPS, SBI and Other Bank Exams - Page 8

**Question 1**

If the sum of a number and its seven-ninth is 144 then what is the number?

a) 79 b) 81 c) 121 d) 149

**Answer :** b) 81

Solution:

Let X be the number.

Then seven-ninth of X = 7X/9

sum of X + 7X/9 = 144

9X + 7X = 9 x 144 = 1296

16X =1296

X = 1296/16 = 81.

Hence the number is 81.

**Question 2**

If three-eighth of a number is 1 less than its two-fifth then the number is :

a) 40 b) 49 c) 24 d) 80

**Answer :** a)40

Solution :

Let the number be X.

Then three-eighth of the number = 3X/8

And two-fifth of the number = 2X/5

The difference between 3X/8 and 2X/5 is 1 or if we add 1 to 3X/8, we get 2X/5 of the number.

i.e., 3X/8 + 1 = 2X/5

3X/8 - 2X/5 = -1

15X - 16X / 40 = -1

-X = -40

X = 40.

Hence, the required answer is 40.

**Question 3**

If 1/121 of 11/13 of 26/5 of a number is 44 then what will be the number?

a) 1210 b) 1440 c) 1690 c) 1920

**Answer :** a) 1210

Solution :

Let X be the number.

Then 1/121 of 11/13 of 26/5 of the number is 44.

i.e., 1/121 x 11/13 x 26/5 x X = 44

1/11 x 2/5 x X = 44

X = 22 x 5 x 11 = 1210

Hence the number is 1210.

**Question 4**

If the sum of a number and 10 exceeds 1/21 of 5/7 of the number by 294, then what will be the number?

a) 21 b) 127 c) 294 d) 81

**Answer :** c) 294

Solution :

Let the number be X.

Then the sum of the number and 10 = X + 10

and 1/21 of 5/7 of the number = 1/21 x 5/7 x X

From given, we have X + 10 - 294 = 1/21 x 5/7 x X

X + 10 - 294 = 1/21 x 5/7 x X

X - 284 = 5X / 147

5X / 147 - X = -284

5X - 147X / 147 = -284

-142X = 147 x - 284

X = 147 x 2

X = 294

Hence the required number is 294.