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SSC CHSL Geometry Questions with Answers & Explanations

18 Geometry questions from the Quantitative Aptitude section of SSC CHSL, each with the correct answer and a worked explanation. Try each question first, then tap Show answer to check. When you're ready, take the timed chapter-wise test to see your all-India rank.

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Question 1

In a right-angled triangle, the two sides containing the right angle are 6 cm and 8 cm. What is the hypotenuse?

  1. A10 cm
  2. B14 cm
  3. C9 cm
  4. D11 cm
Show answer
Answer: (A) 10 cm Hypotenuse = √(6² + 8²) = 10 cm.
Question 2

What is each interior angle of a regular polygon with 18 sides?

  1. A170°
  2. B20°
  3. C160°
  4. D154°
Show answer
Answer: (C) 160° Interior angle = 180°(n − 2)/n = 160°.
Question 3

The corresponding sides of two similar triangles are in the ratio 1 : 2. What is the ratio of their areas?

  1. A2 : 3
  2. B1 : 4
  3. C1 : 2
  4. D1 : 8
Show answer
Answer: (B) 1 : 4 The ratio of areas of similar triangles equals the square of the ratio of sides.
Question 4

What is each interior angle of a regular polygon with 6 sides?

  1. A130°
  2. B60°
  3. C114°
  4. D120°
Show answer
Answer: (D) 120° Interior angle = 180°(n − 2)/n = 120°.
Question 5

What is the area of a triangle with sides 5 cm, 12 cm and 13 cm?

  1. A60 cm²
  2. B42 cm²
  3. C36 cm²
  4. D30 cm²
Show answer
Answer: (D) 30 cm² Using Heron's formula, s = 15 and area = 30 cm².
Question 6

The corresponding sides of two similar triangles are in the ratio 4 : 5. What is the ratio of their areas?

  1. A4 : 5
  2. B64 : 125
  3. C5 : 6
  4. D16 : 25
Show answer
Answer: (D) 16 : 25 The ratio of areas of similar triangles equals the square of the ratio of sides.
Question 7

In a right-angled triangle, the two sides containing the right angle are 8 cm and 15 cm. What is the hypotenuse?

  1. A16 cm
  2. B17 cm
  3. C23 cm
  4. D18 cm
Show answer
Answer: (B) 17 cm Hypotenuse = √(8² + 15²) = 17 cm.
Question 8

What is each interior angle of a regular polygon with 15 sides?

  1. A24°
  2. B150°
  3. C156°
  4. D166°
Show answer
Answer: (C) 156° Interior angle = 180°(n − 2)/n = 156°.
Question 9

What is the area of a triangle with sides 10 cm, 10 cm and 12 cm?

  1. A96 cm²
  2. B48 cm²
  3. C54 cm²
  4. D50 cm²
Show answer
Answer: (B) 48 cm² Using Heron's formula, s = 16 and area = 48 cm².
Question 10

What is each interior angle of a regular polygon with 18 sides?

  1. A170°
  2. B20°
  3. C154°
  4. D160°
Show answer
Answer: (D) 160° Interior angle = 180°(n − 2)/n = 160°.

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Question 11

What is the area of a triangle with sides 9 cm, 10 cm and 17 cm?

  1. A72 cm²
  2. B30 cm²
  3. C45 cm²
  4. D36 cm²
Show answer
Answer: (D) 36 cm² Using Heron's formula, s = 18 and area = 36 cm².
Question 12

In a right-angled triangle, the two sides containing the right angle are 9 cm and 12 cm. What is the hypotenuse?

  1. A21 cm
  2. B13 cm
  3. C15 cm
  4. D16 cm
Show answer
Answer: (C) 15 cm Hypotenuse = √(9² + 12²) = 15 cm.
Question 13

What is each interior angle of a regular polygon with 8 sides?

  1. A45°
  2. B145°
  3. C135°
  4. D129°
Show answer
Answer: (C) 135° Interior angle = 180°(n − 2)/n = 135°.
Question 14

The corresponding sides of two similar triangles are in the ratio 3 : 5. What is the ratio of their areas?

  1. A9 : 25
  2. B4 : 6
  3. C3 : 5
  4. D27 : 125
Show answer
Answer: (A) 9 : 25 The ratio of areas of similar triangles equals the square of the ratio of sides.
Question 15

In a right-angled triangle, the two sides containing the right angle are 15 cm and 20 cm. What is the hypotenuse?

  1. A26 cm
  2. B25 cm
  3. C21 cm
  4. D35 cm
Show answer
Answer: (B) 25 cm Hypotenuse = √(15² + 20²) = 25 cm.
Question 16

What is each interior angle of a regular polygon with 12 sides?

  1. A144°
  2. B160°
  3. C30°
  4. D150°
Show answer
Answer: (D) 150° Interior angle = 180°(n − 2)/n = 150°.
Question 17

The corresponding sides of two similar triangles are in the ratio 2 : 3. What is the ratio of their areas?

  1. A3 : 4
  2. B8 : 27
  3. C2 : 3
  4. D4 : 9
Show answer
Answer: (D) 4 : 9 The ratio of areas of similar triangles equals the square of the ratio of sides.
Question 18

What is the area of a triangle with sides 13 cm, 14 cm and 15 cm?

  1. A84 cm²
  2. B168 cm²
  3. C90 cm²
  4. D91 cm²
Show answer
Answer: (A) 84 cm² Using Heron's formula, s = 21 and area = 84 cm².

These are RankerClub practice questions written in the SSC CHSL pattern. They are not official SSC/IBPS/RRB papers.

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