Question

2 dozen books and 16 notebooks are to be distributed among the students in such a way that no one remains after distribution. How many maximum number of sets of books and notebooks can be made?

A. 4

B. 6

C. 8

D. 10

1. A
2. B
3. C
4. D

Answer 1

Correct Answer - Option 3 : C

Given:

Number of books = 2 dozen = 24 books

Number of notebooks = 16

Concept used:

Maximum number of sets that can be made will be HCF of number of books and number of notebook to be distributed.

Calculations:

HCF of 24 and 16 can be find as,

24 = 2³ × 3

16 = 2⁴

HCF = 2³ = 8

∴ Maximum number of sets that can be made is 8.