GAT Geometry and Spatial

Question 1

A triangular plot of land has a base of 20 meters and a height of 15 meters. What is its area?

Accepted Answer

150 m²

Answer

Area of a triangle = (1/2) × base × height = (1/2) × 20 × 15 = 150 m². Triangle area calculations are essential for the Qudurat quantitative section.

Question 2

A cube has a side length of 5 cm. What is its total surface area?

Accepted Answer

150 cm²

Answer

A cube has 6 identical square faces. Surface area = 6 × side² = 6 × 5² = 6 × 25 = 150 cm².

Question 3

If two angles of a triangle measure 45° and 65°, what is the third angle?

Accepted Answer

70°

Answer

The sum of angles in a triangle = 180°. Third angle = 180° - 45° - 65° = 70°.

Question 4

What is the volume of a cylinder with radius 3 cm and height 10 cm? (Use π ≈ 3.14)

Accepted Answer

282.6 cm³

Answer

Volume = πr²h = 3.14 × 3² × 10 = 3.14 × 9 × 10 = 282.6 cm³. Cylinder volume combines circle area with height.

Question 5

A rectangular prism has dimensions 4 cm × 6 cm × 8 cm. What is its volume?

Accepted Answer

192 cm³

Answer

Volume = length × width × height = 4 × 6 × 8 = 192 cm³.

Qudurat GAT Practice Test