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24 Sep 2019, 22:02
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C
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Difficulty:
25%
(medium)
Question Stats:
76% (01:32) correct
24%
(01:44)
wrong
based on 108
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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.
24 Sep 2019, 22:03
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Official Explanation
Answer: C
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.
Answer: C
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.
24 Sep 2019, 22:23
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Quote:
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.
(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.
Let Karl be K and Nell be N.
donation by K>donation by N? => K>N?
(1) The amount of money that Nell donated is $200 less than twice the amount that Karl donated.
N = 2K-200
since donations cannot be a negative amount, K>100 and K ≠ 0 since it is said that both made donations.
If K=101, N=2 => K>N? YES
If K= 200, N=200 => K>N? NO
INSUFFICIENT!
(2) Karl donated more than $250 to the charity.
K>250
However, we don't know anything about donations made by Nell, so can't say anything for sure. INSUFFICIENT!
(1) + (2)
N = 2K-200, where K>100 and K>250
If K=260, N=320 => K>N? NO
If K=300, N=400 => K>N? NO
Always NO.
IMO answer is option C.
