BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

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

Expert replies
by AAPL » Sun Mar 17, 2019 8:07 am

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty

GMAT Prep

Image

In the figure above, if \(x\) and \(y\) are less than \(90^0\) and \(PS \parallel QR\), is the length of the segment \(PQ\) less than the length of segment \(SR\)?

1) \(x > y\)
2) \(x+y > 90\)

OA A
Join the discussion
Source: — Data Sufficiency |

by Jay@ManhattanReview » Mon Mar 18, 2019 12:01 am
AAPL wrote:GMAT Prep

Image

In the figure above, if \(x\) and \(y\) are less than \(90^0\) and \(PS \parallel QR\), is the length of the segment \(PQ\) less than the length of segment \(SR\)?

1) \(x > y\)
2) \(x+y > 90\)

OA A
This can be solved with little imagination.

Let's take each statement one by one.

1) \(x > y\)

=> \(90 > x > y\)

Imagine x = 75 and y = 30; you would observe that PQ << SR. Even if x and y are close to each other, ensuring that x > y, we have PQ < SR. The answer is yes. Sufficient.

2) \(x+y > 90\)

Clearly insufficient. So, we have all the possible three cases: (1) x = y = 45. (2) x > y and (3) x < y. no unique answer. Insufficient.

The correct answer: A

Hope this helps!

-Jay
_________________
Manhattan Review GMAT Prep

Locations: GMAT Classes Oxford | GMAT Prep Courses Bangalore | LSAT Prep Courses Atlanta | Manhattan SAT | and many more...

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