x is a positive multiple of y

This topic has expert replies
Senior | Next Rank: 100 Posts
Posts: 32
Joined: Sat Apr 07, 2012 3:18 am

x is a positive multiple of y

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

Newbie | Next Rank: 10 Posts
Posts: 8
Joined: Wed Apr 17, 2013 7:46 am
Thanked: 2 times

by [email protected] » Sat May 11, 2013 9:36 pm
I think both statements are not sufficient to answer the question.

Ans: E

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
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
Image