Karl and Nell made donations to the same charity last year. : GMAT Data Sufficiency (DS)
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# Karl and Nell made donations to the same charity last year.

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Karl and Nell made donations to the same charity last year. [#permalink]

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02 Oct 2013, 08:00
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Difficulty:

55% (hard)

Question Stats:

65% (02:06) correct 35% (01:10) wrong based on 80 sessions

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Karl and Nell made donations to the same charity last year. Did Karl donate more money to the charity than Nell did?

(1) The amount of money that Nell donated is $200 less than twice the amount that Karl donated. (2) Karl donated more than$250 to the charity.

GH 10.02.13
[Reveal] Spoiler: OA

Last edited by avohden on 09 Oct 2013, 17:11, edited 2 times in total.
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Re: Karl and Nell made donations to the same charity last year. [#permalink]

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02 Oct 2013, 08:49
1
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avohden wrote:
Karl and Nell made donations to the same charity last year. Did Karl donate more money to the charity than Nell did?

(1) The amount of money that Nell donated is $200 less than twice the amount that Karl donated. (2) Karl donated more than$250 to the charity.

[Reveal] Spoiler:
C

Source: GMAT HACKS

Statement 1 says :

N= 2k-200.. Not Sufficient. Doesn't tell anything much. Also we have 2 extreme if K is high N also will be high.
If K is less, N will also be less.

Statement 2:

K>250. Not sufficient as is.

Together : We know K >250 and from taking statement 1 we can the value of N. so we can find the relationship between Karl and Nell's donation.

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Director
Status: 1,750 Q's attempted and counting
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WE: Accounting (Accounting)
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Kudos [?]: 747 [1] , given: 630

Re: Karl and Nell made donations to the same charity last year. [#permalink]

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02 Oct 2013, 15:09
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Official Explanation

The question is: Is k > n ?

Statement (1) is insufficient. It tells us n = 2k - 200. If k is greater than 200, then n is greater. For instance, if k = 300, then n = 2(300) - 200 = 400. However, if k is smaller than 200, the opposite is true. If k = 150, then n = 2(150) - 200 = 100. We don't know the range of values for either k or n, so we can't answer the question.

Statement (2) is also insufficient. This doesn't tell us anything about the relationship between the donations, or about Nell's amount.

Taken together, the statements are sufficient. Since we know k is greater than 250, it must be greater than 200, meaning that Nell's contribution was greater, according to the equation in (1). Choice (C) is correct.
Re: Karl and Nell made donations to the same charity last year.   [#permalink] 02 Oct 2013, 15:09
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