McGraw-Hill Education GRE 2019

XZQ

Y

The area of triangle X YQ < the area of triangle YQZ

QUANTITY A QUANTITY B

8. The length of XY The length of YZ A B C D

D

B

A C

AB = BC

AD = DC

60°

30°

QUANTITY A QUANTITY B

9. A B C D

Exercise Answers

Discrete Quantitative Questions

1. D Since the interior angles of a triangle add up to 180,
   (x + 3x + 40) = 180
   4 x + 40 = 180
   4 x = 14 0
   x = 35
   Since a and x are supplementary, a + x = 180. Substitute 35 for x:
   a + 35 = 180
   a = 145


2. E The length of AC must be greater than (8 – 3) and less than (8 + 3). Thus
   5 < AC < 11. The perimeter of the triangle will be AB + BC + AC = 8 + 3 + AC
   = 11 + AC. Since 5 < AC < 11, the perimeter must be less than (11 + 11) = 22
   and greater than (5 + 11) = 16. The only value in the choices that is not between
   16 and 22 is E.


3. E Tr ia ng le ABD is a 3-4-5 triangle, so AB = 5. Triangle BCE is a 5-12-13
   triangle, so BC = 5. Since AB and BC are equal, their corresponding angles

The measure of

angle BAD

The measure of

angle BCD

392 PART 4 ■ MATH REVIEW

04-GRE-Test-2018_313-462.indd 392 12/05/17 12:04 pm