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How many numbers do the sets \(S\) and \(T\) have in common?

Expert replies
Source: — Data Sufficiency |

by Jay@ManhattanReview » Thu Aug 01, 2019 9:17 pm
AAPL wrote:GMAT Paper Tests

How many numbers do the sets \(S\) and \(T\) have in common?

1) \(S\) is a set of 10 numbers.
2) \(T\) is a set of 100 numbers.

OA E
Since Statement 1 does not provide any information about Set T and Statement 2 does not provide any information about Set S, each of them alone is insufficient.

Even together they are insufficient.

Case 1: Say Set S: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}; and Set T: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, ..., 100}; the answer is 10.
Case 2: Say Set S: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}; and Set T: {11, 12, 13, ..., 110}; the answer is 0.

No unique answer. Insufficient.

The correct answer: E

Hope this helps!

-Jay
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