Ravish runs a book shop at school of Math, Gurgaon. He received 480 chemistry books, 192 physics books and 672 Mathematics books of class XI. He whishes to average these books in minimum numbers of stacks such that each stack consists of the books on only one subject and the number of books in each stack is the same.
(a) Find the number of books in each stack.
(i) 26 (ii) 48 (iii) 24 (iv) 54
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Answer:
Please understand from this example.
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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