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Question

Aman has 15 toffees, Raj has 20 toffees, and Kamal has 25 toffees. Each of them wants to make packets of toffees so that there are an equal number of toffees in each packet with no toffee left behind. How many maximum toffees can be there in each packet?
  1. 5

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Solution

The correct option is A 5

Number of toffees with Aman = 15 toffees,

Number of toffees with Raj = 20 toffees,

Number of toffees with Kamal = 25 toffees.

The Maximum toffees they can be packed in each will be HCF of all toffees.

Factors of 15 = 1,3,5,15

Factors of 20 = 1, 2, 4, 5, 10, 20

Factors of 25 = 1, 5, 25

Common Factors = 1, 5

Therefore, the HCF is 5, so they can pack 5 toffees in each.


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