Data Sufficiency

This question is from GMAT Prep so anyone planning to give the practice exam may avoid to see it here.

For others, Please help me in answering the below question:

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.

Thanks in advance!

DevB wrote:This question is from GMAT Prep so anyone planning to give the practice exam may avoid to see it here.

For others, Please help me in answering the below question:

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.

Thanks in advance!

Question : Did one of the 3 members of a certain team sell at least 2 raffle tickets yesterday?

Let A, B and C be the number of tickets sold by three members individually

Statement 1) A+B+C = 6

Case 1: A=2, B=2 and C=2 Therefore Answer to the question is YES
Case 2: A=1, B=2 and C=3 Therefore Answer to the question is YES

SUFFICIENT

Statement 2) No 2 of the members sold the same number of raffle tickets yesterday.

Case 1: A=0, B=1 and C=2 Therefore Answer to the question is YES
Three distinct number will have to have a minimum of 2 as part of the set. Therefore,

SUFFICIENT

Answer: Option [spoiler]D[/spoiler]

Hi Bhoopendra,

In statement 2 did you assume that the total number of tickets is 6. Please note that this information is given in statement 1.

If I am missing any point then please let me know.

The question basically asks whether there is a member who sold at least 2 tickets (so 2 or more).

(1) The 3 members sold a total of 6 raffle tickets yesterday. If each of the 3 members sold less than 2 tickets, then the total # of tickets sold cannot be 6, hence at least one member sold at least 2 tickets. Sufficient.

Or: can we split 6 tickets so that ALL 3 members to have sold less than 2 tickets? No: (6,0,0); (5,1,0), (4,1,1); (4,2,0); (3,3,0),(3,2,1), (2,2,2). Sufficient.

(2) No 2 of the members sold the same number of raffle tickets yesterday. If one member sold 0 tickets and another sold 1 ticket (the least possible numbers), then the third one must have sold more than 1, so 2 or more. Sufficient.

Answer: D.

Thanks Abhas...D is the correct answer..!