Did one of the 3 members of a certain team sell at least 2 raffle tickets yesterday?
(1) The 3 members sold a total of 6 raffle tickets yesterday.
(2) No 2 of the members sold the same number of raffle tickets yesterday.
OA D
Source: GMAT Prep
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Did one of the 3 members of a certain team sell at least 2
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BTGmoderatorDC
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Jay@ManhattanReview
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Let's take each statement one by one.BTGmoderatorDC wrote:Did one of the 3 members of a certain team sell at least 2 raffle tickets yesterday?
(1) The 3 members sold a total of 6 raffle tickets yesterday.
(2) No 2 of the members sold the same number of raffle tickets yesterday.
OA D
Source: GMAT Prep
(1) The 3 members sold a total of 6 raffle tickets yesterday.
Case 1: All the 6 tickets sold by one member; thus, one of the 3 members sold at least 2 raffle tickets yesterday. The answer is Yes.
Case 2: Two members sold 3 each; thus, one of the 3 members sold at least 2 raffle tickets yesterday. The answer is Yes.
Case 3: Each of the 3 members sold 2 each; thus, one of the 3 members sold at least 2 raffle tickets yesterday. The answer is Yes.
Sufficient.
(2) No 2 of the members sold the same number of raffle tickets yesterday.
Say one member sold none; another sold 1 ticket; thus, the third one sold 2 tickets ≥ 2. The answer is Yes.
You may think of other scenarios, but at least one member must have sold 2 or more tickets. Sufficient.
The correct answer: D
Hope this helps!
-Jay
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