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
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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