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x is a positive multiple of y

Expert replies
Source: — Data Sufficiency |

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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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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