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DevB: Senior | Next Rank: 100 Posts; Posts: 43; Joined: Sun Apr 06, 2014 10:50 am; Thanked: 1 times; Followed by:1 members

Raffle tickets

by DevB » Tue Jul 22, 2014 5:11 am

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!

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Source: Beat The GMAT — Data Sufficiency | Tue Jul 22, 2014 5:11 am

GMATinsight: Legendary Member; Posts: 1100; Joined: Sat May 10, 2014 11:34 pm; Location: New Delhi, India; Thanked: 205 times; Followed by:24 members

by GMATinsight » Tue Jul 22, 2014 5:21 am

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]

Last edited by GMATinsight on Tue Jul 22, 2014 9:12 am, edited 1 time in total.

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DevB: Senior | Next Rank: 100 Posts; Posts: 43; Joined: Sun Apr 06, 2014 10:50 am; Thanked: 1 times; Followed by:1 members

by DevB » Tue Jul 22, 2014 6:34 am

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.

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abhasjha: Master | Next Rank: 500 Posts; Posts: 379; Joined: Tue Sep 30, 2008 7:17 am; Location: NY; Thanked: 28 times; Followed by:11 members

by abhasjha » Tue Jul 22, 2014 6:55 am

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.

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