Kuldeep walks librarian in SPS Gurgaon. he ordered for 120 books of Physics 48 books of Biology 148 books of mathematics and 3 36 books of English books where delivers he wishes to arrange these books of stack such that each stack concepts of the book only one subject and the book in each stack is the same he also wishes to keep them number of stack minimum
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The total number of stacks is 28.
The number of stacks for English books is 14.
Step-by-step explanation:
Given that 120 Physics books, 48 Biology books 168 Mathematics books and 336 English books were ordered for the library.
We have to find the number of stacks of books and the number of stacks for English books.
To find that first we have to find the HCF of 48,120,168,336.
∴ HCF of 48,120,168,336 is -
48 - 2 × 2 × 2 × 3 × 2
120 - 2 × 2 × 2 × 3 × 5
168 - 2 × 2 × 2 × 3 × 7
336 - 2 × 2 × 2 × 3 × 2 × 7
i.e. HCF = 2 × 2 × 2 × 3 = 24
∴ Number of books in each stack = 24
∴ Total number of stacks = 2 + 5 + 7 + 14 = 28
∴ Number of stacks of English books = 336/24 = 14
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