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Question

Find the maximum number of students among whom 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and the same number of pencils.

A
90
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B
91
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C
92
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D
93
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Solution

The correct option is B 91
Since we are talking about the “maximum” number of students, we need to find the HCF of the given numbers.
1001=7×11×13)
910=2×5×7×13
Thus, their HCF is 7×13=91.
Hence, the required number of students is 91.

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