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Did one of the 3 members of a certain team sell at least 2

Expert replies
by BTGmoderatorDC » Tue Aug 07, 2018 7:45 pm

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty—

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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Source: — Data Sufficiency |

by Jay@ManhattanReview » Tue Aug 07, 2018 9:36 pm
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
Let's take each statement one by one.

(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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