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In the fraction x/y, where x and y are positive integers,

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by BTGmoderatorLU » Thu Aug 09, 2018 3:17 pm

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Source: GMAT Prep

In the fraction x/y, where x and y are positive integers, what is the value of y?

(1) The least common denominator of x/y and 1/3 is 6.
(2) x = 1.

The OA is E.
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by Jay@ManhattanReview » Thu Aug 09, 2018 11:24 pm
BTGmoderatorLU wrote:Source: GMAT Prep

In the fraction x/y, where x and y are positive integers, what is the value of y?

(1) The least common denominator of x/y and 1/3 is 6.
(2) x = 1.

The OA is E.
Given: x/y is fraction such that x and y are positive integers.
Question: What is the value of y?

Let's take each statement one by one.

(1) The least common denominator of x/y and 1/3 is 6.

=> y is 2 or 6. No unique answer. Insufficient.

(2) x = 1.

Can't get the value of y. Insufficient.

(1) and (2) together

Still y = 2 or 6. Insufficient.

The correct answer: E

Hope this helps!

-Jay
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Re: In the fraction x/y, where x and y are positive integers,

by Scott@TargetTestPrep » Sun Aug 02, 2020 8:33 am
BTGmoderatorLU wrote: ↑
Thu Aug 09, 2018 3:17 pm
 Source: GMAT Prep

In the fraction x/y, where x and y are positive integers, what is the value of y?

(1) The least common denominator of x/y and 1/3 is 6.
(2) x = 1.

The OA is E.
Solution:

Statement One Only:

The least common denominator of x/y and 1/3 is 6.

If the least common denominator of x/y and 1/3 is 6, then y could be either 2 or 6. Since y does not have a unique value, statement one is not sufficient.

Statement Two Only:

x = 1

This does not tell us anything about the value of y; statement two is not sufficient.

Statements One and Two Together:

Using the two statements, we have: the least common denominator of 1/y and 1/3 is 6. However, again, y could be either 2 or 6. The two statements together are not sufficient.

Answer: E

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