Question

A charitable trust donates 28 different books of Maths, 16 different books of Science and 12 different books of Social Science to poor students. Each student is given maximum number of books of only one subject of their interest and each student got equal number of books.

(a) Find the number of books each student got.

(b) Find the total number of students who got books.

| | (a) | (b) |
| (A) | 4 | 14 |
| (B) | 3 | 10 |
| (C) | 4 | 10 |
| (D) | 3 | 15 |

Answer 1

The correct option is: (A)

Explanation:

(a) H.C.F. (28, 16, 12) = 2 x 2 = 4

.'. Number of books each student got = 4

(b) No. of students who got Maths books = 28/4 = 7

No. of students who got Science books = 14/4 = 4

No. of students who got Social Science books = 12/4 = 3

.'. Total no. of studentswho got books = 7 + 4 + 3 = 14