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Bunuel
A child had 5 friends at her birthday party. The children opened a box containing 21 pieces of candy. Each piece of candy was received by a child. There were no other pieces of candy received by the children at the party. Did each child at the party receive at least 1 piece of candy from the box?

(1) Each child received a different number of candies.

(2) The birthday girl received 6 pieces of candy, which was more than any other child.


Given there are 6 children & 21 pieces of candy.

Statement 1: Each child can receive any number of candies, including 0.

Hence statement 1 is not sufficient.

Statement 2: 6xxxxx the 'x' can be any number again including 0.

Hence statement 2 is not sufficient.

Combining, we get 6abcde, we have a+b+c+d+e = 15, hence {a,b,c,d,e} = {5,4,3,2,1}

We cannot consider 0, since then statement 1 won't be true.

We can say that each child received at least 1 piece of candy.

Combining is Sufficient.

Hence C.

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GyM
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Hello from the GMAT Club BumpBot!

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