In the figure above, if x and y are each less than 90 and PS

[BTGmoderatorDC]

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

[Jay@ManhattanReview]

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
_________________
Manhattan Review GMAT Prep

Locations: GMAT Classes in Manhattan | GMAT Tutoring New York | GRE Prep Seattle | Manhattan TOEFL | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.