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Question

There are 435 representatives and 100 senators serving in the United State congress. If we want to make the largest number of committees possible with equal number of representatives in each committee and an equal number of senators in each committee, how many committees can we make?
  1. 5

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Solution

The correct option is A 5
We need to find the largest common divisor for both 435 and 100 so that each committee has equal number of representatives and senators GCD (100, 435)
GCD = 5. Hence, the largest number of possible committees is 5.

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