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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- hemant_rajput
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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.
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.
I'm no expert, just trying to work on my skills. If I've made any mistakes please bear with me.
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- Brent@GMATPrepNow
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Target question: x is what fraction of y?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
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
Cheers,
Brent