even numbers

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kushal.adhia: Senior | Next Rank: 100 Posts; Posts: 80; Joined: Thu Aug 12, 2010 11:47 pm; Location: chennai, india; Thanked: 2 times

by kushal.adhia » Sat Nov 06, 2010 3:26 am

Does set S contain any even numbers?

1) There are no prime numbers in S.

2) There are no multiples of 4 in S.

Why is the answer not D?

Stmt 1 says that there are no prime numbers in S; so S contains the numbers 1, 4, 6, 8, 9, 10
As seen, even numbers are present in the set

Stmt 2 says that there are no multiples of 4 in S; S can contain 1, 2, 5, 6, 7, 9..
Again even numbers are present in the set

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Source: Beat The GMAT — Data Sufficiency | Sat Nov 06, 2010 3:26 am

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Rahul@gurome: GMAT Instructor; Posts: 1179; Joined: Sun Apr 11, 2010 9:07 pmFollowed by: 88 members; Location: Milpitas, CA; Thanked: 447 times

by Rahul@gurome » Sat Nov 06, 2010 3:41 am

(1) S can be {4, 6, 8, 9} or S can be {9, 15, 21}. So S may or may not contain even numbers.
So, (1) is NOT SUFFICIENT.

(2) S can be {2, 3, 5, 6} or S can be {3, 5, 7, 9}. So S may or may not contain even numbers.
So, (1) is NOT SUFFICIENT.

Combining also, we cannot answer the question.
Hence, E is the correct answer.

Rahul Lakhani
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kushal.adhia: Senior | Next Rank: 100 Posts; Posts: 80; Joined: Thu Aug 12, 2010 11:47 pm; Location: chennai, india; Thanked: 2 times

by kushal.adhia » Sat Nov 06, 2010 3:47 am

@ Rahul

Thanks a lot for your explanation..
I have no idea why i did not think of that while solving the problem..

tks again

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GMAT/MBA Expert

Rahul@gurome: GMAT Instructor; Posts: 1179; Joined: Sun Apr 11, 2010 9:07 pmFollowed by: 88 members; Location: Milpitas, CA; Thanked: 447 times

by Rahul@gurome » Sat Nov 06, 2010 3:49 am

kushal.adhia wrote:@ Rahul

Thanks a lot for your explanation..
I have no idea why i did not think of that while solving the problem..

tks again

U r welcome!

Rahul Lakhani
Quant Expert
Gurome, Inc.
https://www.GuroMe.com
On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
1-800-566-4043 (USA)
+91-99201 32411 (India)

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