Question

A, B and C have 135, 165 and 215 books of History, Civics and Geography respectively. They want to stack the books in such a way that all the books are arranged subject wise and the height of each stack is same. Find the total number of stacks?
1. 105
2. 107
3. 103
4. 110

Answer 1

Correct Answer - Option 3 : 103

Given:

A has 135 books of History, B has 165 books Civics and C has 215 books of Geography respectively.

Calculation:

Here in the question we have to first find the highest number of stack for all three sets of books.

We need to find the HCF of numbers of books.

Highest common factor of 135, 165, and 215 = 5

Total number of stacks = 135/5 + 165/5 + 215/5 = 103

∴ The total number of stacks is 103.