BTGmoderatorDC wrote:
In the figure above, if x and y are each less than 90 and PS||QR, is the length of segment PQ less than the length of segment SR ?
(1) x>y
(2) x+y>90
OA
A
Source: GMAT Prep
Given:
1. PS is parallel to QR;
2. xº < 90º and yº < 90º
We have to determine whether PQ < SR.
Let's take each statement one by one.
(1) x > y
Since 0 < x < 90 and 0 < y < 90, and x > y, we can vizualize that SR will be flatter than PQ, thus, PQ < SR. You may take some values, for example. Say, x = 89º and y = 30º, it is clear that PQ < SR. Sufficient.
(2) x + y > 90
If x < y, we have PQ < SR; however, if x > y, we have PQ > SR. No unique answer. Insufficient.
The correct answer:
A
Hope this helps!
-Jay
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