Geometry

Ladakh Police Sub-Inspector · Mathematics · 100 practice questions with answers and explanations: 50 Easy, 50 Medium, 0 Hard.

Sample questions

Sample Easy question 1

What is the sum of the interior angles of a triangle whose two angles are 40° and 90°?

  1. 45°
  2. 40°
  3. 50°
  4. 55°
Show answer

Answer: C. The third angle = 180° - 40° - 90° = 50°.

Sample Easy question 2

In a right triangle, if one acute angle is 35°, find the other acute angle.

  1. 50°
  2. 45°
  3. 60°
  4. 55°
Show answer

Answer: D. The two acute angles of a right triangle sum to 90°, so the other angle = 90° - 35° = 55°.

Sample Easy question 3

In a right triangle, if one acute angle is 62°, find the other acute angle.

  1. 24°
  2. 30°
  3. 26°
  4. 28°
Show answer

Answer: D. The other angle = 90° - 62° = 28°.

Sample Medium question 4

Find the number of sides of a regular polygon with an interior angle of 150°.

  1. 11
  2. 10
  3. 13
  4. 12
Show answer

Answer: D. Exterior angle = 180° - 150° = 30°; number of sides = 360°/30° = 12.

Sample Medium question 5

Find the number of sides of a regular polygon with an interior angle of 140°.

  1. 7
  2. 9
  3. 8
  4. 10
Show answer

Answer: B. Exterior angle = 180° - 140° = 40°; number of sides = 360°/40° = 9.

Sample Medium question 6

In a circle, a chord subtends an angle of 80° at the center. Find the angle it subtends at a point on the major arc.

  1. 35°
  2. 45°
  3. 50°
  4. 40°
Show answer

Answer: D. The angle at the circumference is half the angle at the center: 80°/2 = 40°.

More Mathematics topics for Ladakh Police Sub-Inspector

Related articles