McGraw-Hill Education GRE 2019

If the angles of a triangle are in the ratio 3:4:5, what is the measurement of the smallest angle? A 45 B 60 C 75 D 90 E 100 Q ...

QUANTITY A QUANTITY B A B C D C B A x° y° x + 30° QUANTITY A QUANTITY B x y A B C D B CD E A 45° BCDE is a square QUANTITY A ...

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 ...

must be equal: angle BAC = angle BCA. You are told that angle BAC = 40, so you can infer that angle BCA = 40. Since the interior ...

E First, draw the diagram: 60° 8 ft 30° 20 Ground Base of Rope The rope starts off 8 feet above the ground. To determine its t ...

Thus 5 + 3 + x + √x^2 + 16 = 20. Solve for x: 8 + x + √x^2 + 16 = 20 x + √x^2 + 16 = 12 √x^2 + 16 = 12 – x Square both sides: √x ...

Thus 3 x +4x +5x = 180 12 x = 180 x = 15 The measurement of the smallest angle is 3(15) = 45. Quantitative Comparison Questions ...

C Recall that the diagonal of a square splits the square into two right triangles. Since leg BC of 45-45-90 triangle ABE = the ...

A parallelogram has the following properties: Opposite sides are equal. Opposite angles are equal. The area = base × height. Th ...

In a certain rectangle, the length is double the width. If the area of the rectangle is 72, what is the length of the rectangle? ...

3 4 QUANTITY A QUANTITY B The maximum area of ABC 12 SOLUTION: To maximize the area of the triangle, make it a right triangle. A ...

Exercise: Polygons Discrete Quantitative Questions MN PO 20 D C AB 40 50 The area of rectangle ABCD is equal to the area of rec ...

BC A D 30° The area of the rectangle above is 36√ 3. What is the length of diagonal AC? A 6 B 12 C 18 D 24 E 30 AB E CD Note: ...

For this question, write your answer in the box. What is the maximum possible area of a rectangle with a perimeter of 24? AB D ...

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

A 4 D^10 C B QUANTITY A QUANTITY B The area of trapezoid ABCD 40 A B C D Exercise Answers Discrete Quantitative Questions D A ...

B The length and width of the rectangle are the legs of the 30-60-90 triangle ABC. Let the length of AB = x. The length of BC i ...

Since the area of the rectangle is 48, we know that lw = 48. Next, note that the diagonal of a rectangle is equivalent to the hy ...

Circles A circle is a group of points that are all equidistant from a central point, known as the center. Any line segment that ...

Pi (π) might appear intimidating, but it’s simply a constant. Its value is roughly 3.14. For the GRE, though, almost any questio ...