GMAT GMAT - Graduate Management Admission Quantitative: Geometry and Coordinate Geometry 3

Question 1

Point P has coordinates (−3, 4). In which quadrant does P lie?

Accepted Answer

Quadrant II

Answer

A point with a negative x-coordinate and positive y-coordinate lies in Quadrant II.

Question 2

A cylinder has a radius of 3 and a height of 10. What is its volume?

Accepted Answer

90π

Answer

Volume of a cylinder = πr²h = π(9)(10) = 90π.

Question 3

The angles of a triangle are in the ratio 1:2:3. What is the measure of the largest angle?

Accepted Answer

90°

Answer

The angles sum to 180°; with ratio 1:2:3 (6 total parts), each part = 30°, so the largest angle = 3 × 30° = 90°.

Question 4

A rectangle has vertices at (0,0), (5,0), (5,4), and (0,4). What is the length of its diagonal?

Accepted Answer

√41

Answer

Diagonal = √(5² + 4²) = √(25 + 16) = √41.

Question 5

If the sum of the interior angles of a polygon is 540°, how many sides does the polygon have?

Accepted Answer

5

Answer

Sum of interior angles = (n − 2) × 180°; setting this equal to 540° gives n − 2 = 3, so n = 5.

GMAT Practice Test