Geometry

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

Sample questions

Sample Easy question 1

What is the number of diagonals in a quadrilateral?

  1. 4
  2. 2
  3. 3
  4. 1
Show answer

Answer: B. A quadrilateral has 2 diagonals.

Sample Easy question 2

What is the number of diagonals in a pentagon?

  1. 4
  2. 5
  3. 3
  4. 6
Show answer

Answer: B. The number of diagonals = n(n-3)/2 = 5×2/2 = 5.

Sample Easy question 3

In a right triangle, one leg is 6 cm and the other leg is 8 cm. Find the hypotenuse.

  1. 9 cm
  2. 8 cm
  3. 10 cm
  4. 11 cm
Show answer

Answer: C. Hypotenuse = √(6² + 8²) = √100 = 10 cm.

Sample Medium question 4

In a circle, a chord subtends an angle of 120° at the center. Find the angle it subtends at a point on the major arc.

  1. 55°
  2. 60°
  3. 70°
  4. 65°
Show answer

Answer: B. The angle at the circumference is half the angle at the center: 120°/2 = 60°.

Sample Medium question 5

In a cyclic quadrilateral, one pair of opposite angles is 70° and x. Find x.

  1. 115°
  2. 100°
  3. 110°
  4. 105°
Show answer

Answer: C. Opposite angles of a cyclic quadrilateral sum to 180°, so x = 180° - 70° = 110°.

Sample Medium question 6

In a cyclic quadrilateral, one pair of opposite angles is 85° and x. Find x.

  1. 105°
  2. 100°
  3. 95°
  4. 90°
Show answer

Answer: C. x = 180° - 85° = 95°.

More Mathematics topics for Ladakh Police Constable

Related articles