Three sets of English, Mathematics and Science books containing 336, 240and 96 books respectively have to be stacked in such a way that all the books are stored subject-wise and the height of each stack is the same. What is the total number of stacks?
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Answer:
Height of each stack = HCF of (336, 240, 96) books
∴336=2
4
×3×7 ⇒HCF=2
4
×3=48
∴240=2
4
×3×5 ⇒HCF=2
4
×3=48
∴96=2
5
×3 ⇒HCF=2
4
×3=48
Height of each stack = 48 books
⇒ Number of stack =
48
336
+
48
240
+
48
96
=7 + 5 + 2 = 14
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