XZQ
Y
The area of triangle X YQ < the area of triangle YQZ
QUANTITY A QUANTITY B
- 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
- A B C D
Exercise Answers
Discrete Quantitative Questions
- 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 - 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. - 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