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RRB JE Geometry Questions with Answers & Explanations

20 Geometry questions from the Mathematics section of RRB JE, 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

What is the area of a triangle with sides 17 cm, 25 cm and 26 cm?

  1. A212.5 cm²
  2. B204 cm²
  3. C210 cm²
  4. D198 cm²
Show answer
Answer: (B) 204 cm² Using Heron's formula, s = 34 and area = 204 cm².
Question 2

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

  1. A23 cm
  2. B16 cm
  3. C17 cm
  4. D15 cm
Show answer
Answer: (C) 17 cm Hypotenuse = √(8² + 15²) = 17 cm.
Question 3

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

  1. A1 : 2
  2. B1 : 4
  3. C1 : 8
  4. D2 : 3
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 10 sides?

  1. A36°
  2. B138°
  3. C154°
  4. D144°
Show answer
Answer: (D) 144° Interior angle = 180°(n − 2)/n = 144°.
Question 5

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

  1. A96 cm²
  2. B54 cm²
  3. C48 cm²
  4. D50 cm²
Show answer
Answer: (C) 48 cm² Using Heron's formula, s = 16 and area = 48 cm².
Question 6

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

  1. A20°
  2. B170°
  3. C160°
  4. D154°
Show answer
Answer: (C) 160° Interior angle = 180°(n − 2)/n = 160°.
Question 7

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

  1. A72 cm²
  2. B30 cm²
  3. C36 cm²
  4. D42 cm²
Show answer
Answer: (C) 36 cm² Using Heron's formula, s = 18 and area = 36 cm².
Question 8

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

  1. A14 cm
  2. B11 cm
  3. C10 cm
  4. D9 cm
Show answer
Answer: (C) 10 cm Hypotenuse = √(6² + 8²) = 10 cm.
Question 9

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

  1. A16 : 25
  2. B64 : 125
  3. C4 : 5
  4. D5 : 6
Show answer
Answer: (A) 16 : 25 The ratio of areas of similar triangles equals the square of the ratio of sides.
Question 10

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

  1. A24°
  2. B166°
  3. C156°
  4. D150°
Show answer
Answer: (C) 156° Interior angle = 180°(n − 2)/n = 156°.

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Question 11

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. C4 : 9
  4. D2 : 3
Show answer
Answer: (C) 4 : 9 The ratio of areas of similar triangles equals the square of the ratio of sides.
Question 12

What is the area of a triangle with sides 6 cm, 8 cm and 10 cm?

  1. A18 cm²
  2. B30 cm²
  3. C48 cm²
  4. D24 cm²
Show answer
Answer: (D) 24 cm² Using Heron's formula, s = 12 and area = 24 cm².
Question 13

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

  1. A23 cm
  2. B25 cm
  3. C21 cm
  4. D35 cm
Show answer
Answer: (B) 25 cm Hypotenuse = √(15² + 20²) = 25 cm.
Question 14

The corresponding sides of two similar triangles are in the ratio 3 : 4. What is the ratio of their areas?

  1. A27 : 64
  2. B9 : 16
  3. C3 : 4
  4. D4 : 5
Show answer
Answer: (B) 9 : 16 The ratio of areas of similar triangles equals the square of the ratio of sides.
Question 15

What is each interior angle of a regular polygon with 20 sides?

  1. A18°
  2. B162°
  3. C172°
  4. D156°
Show answer
Answer: (B) 162° Interior angle = 180°(n − 2)/n = 162°.
Question 16

What is the area of a triangle with sides 17 cm, 25 cm and 26 cm?

  1. A210 cm²
  2. B408 cm²
  3. C204 cm²
  4. D198 cm²
Show answer
Answer: (C) 204 cm² Using Heron's formula, s = 34 and area = 204 cm².
Question 17

The corresponding sides of two similar triangles are in the ratio 3 : 4. What is the ratio of their areas?

  1. A27 : 64
  2. B4 : 5
  3. C9 : 16
  4. D3 : 4
Show answer
Answer: (C) 9 : 16 The ratio of areas of similar triangles equals the square of the ratio of sides.
Question 18

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

  1. A15 cm
  2. B13 cm
  3. C16 cm
  4. D21 cm
Show answer
Answer: (A) 15 cm Hypotenuse = √(9² + 12²) = 15 cm.
Question 19

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

  1. A54 cm²
  2. B42 cm²
  3. C50 cm²
  4. D48 cm²
Show answer
Answer: (D) 48 cm² Using Heron's formula, s = 16 and area = 48 cm².
Question 20

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

  1. A60 cm²
  2. B24 cm²
  3. C36 cm²
  4. D30 cm²
Show answer
Answer: (D) 30 cm² Using Heron's formula, s = 15 and area = 30 cm².

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

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