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M01 #20 - Contradiction between between the two statement?

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M01 #20 - Contradiction between between the two statement? [#permalink] New post 20 Aug 2009, 19:37
If Jim saved a total of $90 in 3 weeks, how much did he save in week 2?

1. Jim's average savings for the first 2 weeks were $20
2. Jim's first week's savings were half of his savings in week 2 and a third of his savings in week 3

* Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
* Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
* BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
* EACH statement ALONE is sufficient
* Statements (1) and (2) TOGETHER are NOT sufficient

OA is given as B. However, I think it St. 2 contradicts the information given in St.1.

The explanation given is:

Quote:
Suppose S_1 , S_2 , and S_3 are the amounts Jim saved for the first, second, and third week, respectively.

Statement (1) by itself is not sufficient. S_1+S_2=\$40 . Although S_3 can be calculated, the value of S_2 cannot be calculated. Consider S_1=\$20 and S_2=\$20 or S_1=\$5 and S_2=\$35 .

Statement (2) by itself is sufficient. From Statement (2): S_2 =2 * S_1 and S_3 = 3 * S_1
S_1 + 2 * S_1 + 3 * S_1 = \$90
6 * S_1 = \$90
S_1 = \$15

Solving for S_2 gives a value of S_2 = 2 * S_1 = 2 * 15 =\$30 .


The problem is with St.2, S_1 + S_2 = 15 + 30 = 45. This is not 40, as per St. 1
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Re: M01 #20 - Contradiction between between the two statement? [#permalink] New post 20 Aug 2009, 19:49
Agreed. The answer is clearly B.

Stmt 1 and Stmt 2 contradict each other. This, I remember reading somewhere, will never happen on real GMAT exam.
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Re: M01 #20 - Contradiction between between the two statement? [#permalink] New post 21 Aug 2009, 13:14
are we sure ?

from what I heard is that only when the answer is D the two statements should result in the same answer.

GMAT gurus your inputs please ...
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Re: M01 #20 - Contradiction between between the two statement? [#permalink] New post 22 Aug 2009, 12:26
gmanjesh wrote:
are we sure ?

from what I heard is that only when the answer is D the two statements should result in the same answer.

GMAT gurus your inputs please ...


No, that's wrong info. Neither of the two statements can contradict each other, irrelevant of what the answer is.

The idea is that the two statements are giving you some additional information, to figure out if the problem is solvable or not. They cannot, must not, add any more ambiguity to the problem.
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Re: M01 #20 - Contradiction between between the two statement? [#permalink] New post 20 Oct 2009, 01:58
That's a really interesting thing to notice.

I have been preparing the gmat for 2 months and I was never noticed such a thing... I guess I just missed the information.

Thank you very much for this tip
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Re: M01 #20 - Contradiction between between the two statement? [#permalink] New post 20 Oct 2009, 04:06
Sorry, I somehow missed this one. What if we change S1 to "Jim's average savings for the first 2 weeks were $22.5"? We won't have a contradiction then. Will it work?
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Re: M01 #20 - Contradiction between between the two statement?   [#permalink] 20 Oct 2009, 04:06
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M01 #20 - Contradiction between between the two statement?

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