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Question : 84 Maths books, 90 Physics books, and 120 Chemistry books have to be stacked topicwise. How many books will be there in each stack so that each stack will have the same height too?

Option 1: 12

Option 2: 18

Option 3: 6

Option 4: 21


Team Careers360 22nd Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

Correct Answer: 6


Solution : Required number of books in each stack = HCF of the given numbers of the three types of books. 
Now, 84 = 2 × 2 × 3 × 7,
90 = 2 × 3 × 3 × 5
and 120 = 2 ×2 × 2 × 3 × 5
So, HCF of 84, 90 and 120 = (2 × 3) = 6
Hence, the correct answer is 6.

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