If a certain amount of money is divided equally among n persons, each one receives Rs 352 . However, if two persons receive Rs 506 each and the remaining amount is divided equally among the other persons, each of them receive less than or equal to Rs 330 . Then, the maximum possible value of n is &nbsp; &nbsp;

CAT 2023 Question Paper | CAT Verbal Ability Slot 2

Question :

If a certain amount of money is divided equally among n persons, each one receives Rs 352 . However, if two persons receive Rs 506 each and the remaining amount is divided equally among the other persons, each of them receive less than or equal to Rs 330 . Then, the maximum possible value of n is

Started 3 months ago by Shashank in

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Answer : 16

Explanatory Answer

Let the total amount be equal to T.

T=n×352

“However, if two persons receive Rs 506 each and the remaining amount is divided equally among the other persons, each of them receive less than or equal to Rs 330”

T≤2×506+(n−2)×330

n×352≤2×506+(n−2)×330

n×352≤352+n×330

n×22≤352

n≤352/22

n≤16

So, the maximum value that n can take is 16.