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I'm flipping through the princeton review 2007 study guide [#permalink]
10 Feb 2007, 13:32

00:00

A

B

C

D

E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct
0% (00:00) wrong based on 0 sessions

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I'm flipping through the princeton review 2007 study guide and come to this question:

Data sufficiency problem
If P is a set of integers and 3 is in P, is every positive multiple of 3 in P?
(1) For any integer in P, the sum of 3 and that integer is also in P
(2) for any integer in P, that integer minus 3 is also in P

The answer given is A, but I think it's D, here's why.

Given Statement 1, since 3 is in P, then 3+3=6 is in P, so P = {3,6,9,12......3n}
The answer to the stated question is "Yes" so Statement 1 is sufficient information to answer the question.

Given Statement 2, since 3 is in P, then 3-3 = 0 etc, so P = {3, 0, -3, -6.....-3n}
In which case we can still answer the question "No, all positive multiples of 3 are not in P"
We can still answer the question, and Statement 2 is sufficient information to do that.

Therefore the answer is D.

Tell me if you agree or disagree, and why?

Thanx

Last edited by crankharder on 10 Feb 2007, 13:47, edited 1 time in total.

I'm flipping through the princeton review 2007 study guide and come to this question:

Data sufficiency problem If P is a set of integers and 3 is in P, is every positive multiple of 3 in P? (1) For any integer in P, the sum of 3 and that integer is also in P (2) for any integer in P, that integer minus 3 is also in P

The answer given is A, but I think it's D, here's why.

Given Statement 1, since 3 is in P, then 3+3=6 is in P, so P = {3,6,9,12......3n} The answer to the stated question is "Yes" so Statement 1 is sufficient information to answer the question.

Given Statement 2, since 3 is in P, then 3-3 = 0 etc, so P = {3, 0, -3, -6.....-3n} In which case we can still answer the question "No, all positive multiples of 3 are not in P" We can still answer the question, and Statement 2 is sufficient information to do that.

Therefore the answer is D.

Tell me if you agree or disagree, and why?

Thanx

The bold is wrong .... U have taken the extrem case in one side... only 3 is a positive multiple of 3 in P.... but what about the extremum case in the other side.... all can be in P ...