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
Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
