x is a positive multiple of y

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dhirajdas53: Senior | Next Rank: 100 Posts; Posts: 32; Joined: Sat Apr 07, 2012 3:18 am

by dhirajdas53 » Sat May 11, 2013 8:19 pm

If x and y are integers, is x > y ?

x is a positive multiple of y
xy > 1

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Source: Beat The GMAT — Data Sufficiency | Sat May 11, 2013 8:19 pm

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by [email protected] » Sat May 11, 2013 9:36 pm

I think both statements are not sufficient to answer the question.

Ans: E

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

by Brent@GMATPrepNow » Sat May 11, 2013 9:52 pm

dhirajdas53 wrote:If x and y are integers, is x > y ?

x is a positive multiple of y
xy > 1

Target question: Is x > y ?

Statement 1: x is a positive multiple of y
In other words, y is a divisor of x.
There are several pairs of values that meet this condition. Here are two:
Case a: x = 6 and y = 3, in which case x is greater than y
Case b: x = 3 and y = 3, in which case x is not greater than y
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: xy > 1
There are several pairs of values that meet this condition. Here are two:
Case a: x = 6 and y = 3, in which case x is greater than y
Case b: x = 3 and y = 3, in which case x is not greater than y
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined:
There are several pairs of values that meet the two given conditions. Here are two:
Case a: x = 6 and y = 3, in which case x is greater than y
Case b: x = 3 and y = 3, in which case x is not greater than y
Since we still cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Answer = E

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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