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Question

The maximum number of students among whom 1001 pens and 910 pencils can be distributed such that each students get the same numberof pen and same number of pencils

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Solution

To distribute the 1001 pens and 910 Pencils

among maximum number of

students so that each student has same

number of pens and pencils , we have to

find HCF of 1001 and 910

Write 1001 and 910 product of prime

1001 = 7 × 11 × 13

910 = 2 × 5 × 7 × 13

HCF of 1001 , 910 = 7 × 13 = 91

Therefore,

Same number of pens and pencils are distributed

among 91 students .

Each one get 11 pens and 10 pencils.

I hope this helps you.

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