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by sana.noor » Sun Feb 03, 2013 11:15 pm
If XY is not equal to 0 then x is what fraction of y?
a) y is 3/4 of x
b) x is 3/4 of 16

A[/spoiler]
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Source: — Data Sufficiency |
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by hemant_rajput » Mon Feb 04, 2013 3:36 am
Question is actually asking what is X/y


from statement 1 you have a relationship between X and Y.

y = .75x or 3/4 x

so x/y = x/.75x = 4/3

from statement 2 we don't have any relationship between X and Y.

so can't solve using this information.

So answer is A.
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by Brent@GMATPrepNow » Mon Feb 04, 2013 8:14 am
sana.noor wrote:If XY is not equal to 0 then x is what fraction of y?
a) y is 3/4 of x
b) x is 3/4 of 16
Target question: x is what fraction of y?
Let F = the fraction of y that x equals.
In other words, x = Fy
Solve for F to get F = x/y
Now that we know we're really trying to find the value of x/y, let's rephrase the target question:
Rephrased target question: What is the value of x/y?

ASIDE: Rephrasing the target question is a very important strategy when solving Data Sufficiency questions. In anyone is interested, we have a free video on this topic: https://www.gmatprepnow.com/module/gmat- ... cy?id=1100

Statement 1: y is 3/4 of x
In other words, y = (3/4)x
Divide both sides by x to get: y/x = 3/4
Flip both sides to get: x/y = 4/3
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: x is 3/4 of 16
In other words, x = 12
Knowing that x = 12 will not help us find the value of x/y.
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Answer = A

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