BTGmoderatorLU wrote:Source: e-GMAT
If \(x\) and \(y\) are non-zero integers such that \(|x| > 10\), what is the value of \(\dfrac{x}{y}\)?
1) \(\dfrac{|x|}{2}=\dfrac{8}{|y|}\)
2) \(xy=16\)
The OA is B
Given: \(|x| > 10\)
We have to find out the value of x/y.
Let's take each statement one by one.
1) \(\dfrac{|x|}{2}=\dfrac{8}{|y|}\)
=> |x|.|y| = 16
Since |x| > 10 and y is an integer, the only value possible for |x| = 16; thus. |y| = 1.
=> x = ±16 and y = ±1
=> x/y = ±1. No unique value of x/y. Insufficient.
2) \(xy=16\)
Since 16 is positive, x and y both must be either positive or both negative.
Again, since |x| > 10 and y is an integer, the only value possible for |x| = 16; thus. |y| = 1.
=> x = ±16 and y = ±1
=> x/y = 16/1 = 1 or -16/-1 = 1. Unique value of x/y. Sufficient.
The correct answer:
B
Hope this helps!
-Jay
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