Geometry

JKSSB Junior Engineer (Mechanical) · Mathematics · 100 practice questions with answers and explanations: 50 Easy, 50 Medium, 0 Hard.

Sample questions

Sample Easy question 1

In an isosceles triangle, the vertex angle is 40°. Find each base angle.

  1. 68°
  2. 65°
  3. 70°
  4. 72°
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Answer: C. The two base angles are equal: (180° - 40°)/2 = 70° each.

Sample Easy question 2

In an isosceles triangle, the vertex angle is 100°. Find each base angle.

  1. 35°
  2. 42°
  3. 38°
  4. 40°
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Answer: D. The two base angles are equal: (180° - 100°)/2 = 40° each.

Sample Easy question 3

How many vertices does a hexagon have?

  1. 5
  2. 7
  3. 6
  4. 4
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Answer: C. A hexagon has 6 vertices, matching its 6 sides.

Sample Medium question 4

In a cyclic quadrilateral, one pair of opposite angles is 60° and x. Find x.

  1. 118°
  2. 120°
  3. 115°
  4. 122°
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Answer: B. x = 180° - 60° = 120°.

Sample Medium question 5

The diagonals of a rhombus are 10 cm and 24 cm. Find the length of a side.

  1. 14 cm
  2. 13 cm
  3. 11 cm
  4. 12 cm
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Answer: B. Half-diagonals are 5 and 12; side = √(5² + 12²) = √169 = 13 cm.

Sample Medium question 6

The diagonals of a rhombus are 16 cm and 30 cm. Find the length of a side.

  1. 17 cm
  2. 18 cm
  3. 16 cm
  4. 15 cm
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Answer: A. Half-diagonals are 8 and 15; side = √(8² + 15²) = √289 = 17 cm.

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