Carcass wrote:
Manish has 60 marbles that he wants to divide among himself and his 12 friends. The marbles don’t necessarily have to be divided equally. If Manish wants to have more marbles than any of his friends, what is the least number of marbles he can have?
(A) 5
(B) 6
(C) 7
(D) 8
(E) 12
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GRE Tips and Tricks - UPDATED 11/20/2021On test day, I would probably answer this question by testing each answer choice,
starting with the smallest answer(A) 5
If Manish has 5 marbles, then the remaining 55 marbles must be divided among his 12 friends.
Since Manish wants to have more marbles than any of his 12 friends, each friend cannot receive more than 4 marbles.
If we give 4 marbles to each of the 12 friends, then that accounts for 48 marbles, leaving 7 marbles to still distribute.
So the correct answer cannot be A.
(A) 6
If Manish has 6 marbles, then the remaining 54 marbles must be divided among his 12 friends.
Since Manish wants to have more marbles than any of his 12 friends, each friend cannot receive more than 5 marbles.
If we give 5 marbles to each of the 12 friends, then that would account for 60 marbles, which means we can be sure the marbles can be distributed so that no friend receives more than 5 marbles.
Answer: B