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

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carcass
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How many numbers do the sets S and T have in common? [#permalink] New post  31 Oct 2018, 12:16
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5% (low)

Question Stats:

96% (00:20) correct 4% (00:22) wrong based on 138 sessions

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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.
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Re: How many numbers do the sets S and T have in common? [#permalink] New post  31 Oct 2018, 19:12
carcass wrote:
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.


Since the sets S & T are undefined, and no relationship b/w sets S & T is given, therefore we can't determine the no of overlapping elements.

Ans. (E)
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BrentGMATPrepNow
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Re: How many numbers do the sets S and T have in common? [#permalink] New post  13 Nov 2019, 09:04
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carcass wrote:
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.


Target question: How many numbers do the sets S and T in common?

Statements 1 and 2 combined
There are several scenarios that satisfy BOTH statements. Here are two:
Case a: S = {1,1,1,1,1,1,..1,1} and T = {0,0,0,0,0.....,0,0,0,0,0}. In this case, the answer to the target question is sets S and T have 0 numbers in common
Case b: S = {1,1,1,1,1,1,..1,1} and T = {1,0,0,0,0.....,0,0,0,0,0}. In this case, the answer to the target question is sets S and T have 1 number in common
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Answer: E

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Re: How many numbers do the sets S and T have in common? [#permalink]
13 Nov 2019, 09:04
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