Hi All,

We're told that John puts balls in 7 boxes and puts at least 1 ball in each box. We're asked if he put MORE than 7 balls in AT LEAST one box. This is a YES/NO question.

1) The number of balls in each of the 7 boxes is DIFFERENT.

Since John put at least 1 ball in each box, there a couple of different possibilities to consider:

IF.... the number of balls in the 7 boxes were:

1, 2, 3, 4, 5, 6 and 7... then the answer to the question would be NO.

1, 2, 3, 4, 5, 6 and 8... then the answer to the question would be YES.

Fact 1 is INSUFFICIENT

2) The total number of balls put into boxes is 29.

With Fact 2, we can have 'duplicate' numbers in boxes, so we now have to consider THAT possibility:

IF.... the number of balls in the 7 boxes were:

4, 4, 4, 4, 4, 4 and 5... then the answer to the question would be NO.

1, 2, 3, 4, 5, 6 and 8... then the answer to the question would be YES.

Fact 2 is INSUFFICIENT

Combined, we know that there are only 29 total balls AND that each box must hold a DIFFERENT number of balls. There's only one option that 'fits':

1, 2, 3, 4, 5, 6 and 8... so the answer to the question is ALWAYS YES.

Combined, SUFFICIENT

Final Answer:

GMAT assassins aren't born, they're made,

Rich

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# Rich Cohen

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