McGraw-Hill Education GRE 2019

y° q° a a b b x° x° x°x° In this figure, x + y = 75. What is the value of q – y? A 95 B 100 C 105 D 110 E 145 l l m m a° b° No ...

If a = d + 30, then d =? A 75 B 80 C 85 D 90 E 95 If a – c = 20, then what is the value of b? A 60 B 80 C 100 D 110 E 120 For ...

Quantitative Comparison Questions Each of the following questions consists of two quantities, Quantity A and Quantity B. You are ...

x° y° z° q° a° c° d° b° l 1 l 1 || l 2 l 2 QUANTITY A QUANTITY B a z A B C D c° d° a° b° l 1 l 2 l1 and l2 intersect to the le ...

Since x, y, and z lie on a line, they are supplementary: x + y + z = 180. Substitute 80 for x: 80 + y + z = 180 y + z = 100 A S ...

C Since a and c are the two angles above l, their sum must equal 180: a + c = 180. Add the two equations to solve for a: a – c ...

A Since lines 1 and 2 intersect to the left of the diagram, they are not parallel. As they converge, the angles closer to them ...

For this question, indicate all the answer choices that apply. If a triangle has side lengths of 4 and 7, which of the following ...

This information is helpful because when you are working with an isosceles triangle, you can assign the same variable to differe ...

Perimeter of a Triangle The perimeter of a triangle is the sum of all the side lengths. 7 3 5 QS R The perimeter of the precedin ...

Right Triangles The GRE’s favorite shape is a right triangle. A right triangle is any triangle that has a 90-degree angle. The 9 ...

A 12 5 B C What is the perimeter of the triangle above? A 13 B 17 C 25 D 30 E 42 SOLUTION: To determine the perimeter, solve for ...

12 4 A BC D 3 What is the perimeter of the figure above? SOLUTION: To determine the perimeter, you need to add up all the sides. ...

1 1 45° 45° 2√ The legs of every isosceles right triangle will have a specific ratio that you should memorize: leg opposite 45 : ...

30-60-90 Triangles and the Equilateral Triangle The other type of special right triangle you need to master is the 30-60-90 tria ...

Exercise: Triangles Discrete Quantitative Questions 40° 3 x° a° x° In the figure above, what is the value of a? A 30 B 35 C 14 ...

For this question, write your answer in the box. A D C B In the figure shown, the length of altitude BD is 3√ 3. What is the ar ...

13 ACD 5 B In the figure above, angle BAD = angle ABD. What is the area of triangle ABD? A 30 B 60 C 72 D 102 E 14 4 The base o ...

A 20° C D a° B In the figure above, BD = DC. If AD = 6, what is BD? A 4 B 6 C 8 D 10 E 12 B A D C 20 12 9 What is the perimet ...

ac b The area of the triangle above is 24. If a is 2 more than b, what is c? A 6 B 8 C 10 D √ 13 E 2√ 13 BC A 45° 45° YZ X 45° ...