🎯 RankerClub is 100% Free — 97 full-length mock tests with an instant all-India rank. Register Free →
RankerClub
Log in Get Started Free
Log in Register Free

Agniveer Navy Geometry Questions with Answers & Explanations

20 Geometry questions from the Mathematics section of Agniveer Navy, 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.

Take the Mathematics test → Agniveer Navy full mocks
Question 1

In a right-angled triangle, the two sides containing the right angle are 5 cm and 12 cm. What is the hypotenuse?

  1. A14 cm
  2. B13 cm
  3. C11 cm
  4. D17 cm
Show answer
Answer: (B) 13 cm Hypotenuse = √(5² + 12²) = 13 cm.
Question 2

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

  1. A9 : 16
  2. B27 : 64
  3. C3 : 4
  4. D4 : 5
Show answer
Answer: (A) 9 : 16 The ratio of areas of similar triangles equals the square of the ratio of sides.
Question 3

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

  1. A210 cm²
  2. B198 cm²
  3. C408 cm²
  4. D204 cm²
Show answer
Answer: (D) 204 cm² Using Heron's formula, s = 34 and area = 204 cm².
Question 4

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

  1. A150°
  2. B166°
  3. C156°
  4. D24°
Show answer
Answer: (C) 156° Interior angle = 180°(n − 2)/n = 156°.
Question 5

What is each interior angle of a regular polygon with 5 sides?

  1. A72°
  2. B118°
  3. C102°
  4. D108°
Show answer
Answer: (D) 108° Interior angle = 180°(n − 2)/n = 108°.
Question 6

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

  1. A48 cm²
  2. B50 cm²
  3. C96 cm²
  4. D42 cm²
Show answer
Answer: (A) 48 cm² Using Heron's formula, s = 16 and area = 48 cm².
Question 7

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

  1. A9 cm
  2. B8 cm
  3. C14 cm
  4. D10 cm
Show answer
Answer: (D) 10 cm Hypotenuse = √(6² + 8²) = 10 cm.
Question 8

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

  1. A5 : 6
  2. B4 : 5
  3. C64 : 125
  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 9

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

  1. A30°
  2. B160°
  3. C144°
  4. D150°
Show answer
Answer: (D) 150° Interior angle = 180°(n − 2)/n = 150°.
Question 10

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

  1. A90 cm²
  2. B91 cm²
  3. C78 cm²
  4. D84 cm²
Show answer
Answer: (D) 84 cm² Using Heron's formula, s = 21 and area = 84 cm².

Ready for the real thing?
Timed Mathematics test · 25 questions · instant rank

Start free test
Question 11

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 12

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

  1. A3 : 4
  2. B9 : 16
  3. C27 : 64
  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 13

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

  1. A30 cm²
  2. B36 cm²
  3. C42 cm²
  4. D60 cm²
Show answer
Answer: (A) 30 cm² Using Heron's formula, s = 15 and area = 30 cm².
Question 14

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. B16 cm
  3. C15 cm
  4. D13 cm
Show answer
Answer: (C) 15 cm Hypotenuse = √(9² + 12²) = 15 cm.
Question 15

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

  1. A3 : 5
  2. B9 : 25
  3. C27 : 125
  4. D4 : 6
Show answer
Answer: (B) 9 : 25 The ratio of areas of similar triangles equals the square of the ratio of sides.
Question 16

In a right-angled triangle, the two sides containing the right angle are 5 cm and 12 cm. What is the hypotenuse?

  1. A17 cm
  2. B11 cm
  3. C13 cm
  4. D14 cm
Show answer
Answer: (C) 13 cm Hypotenuse = √(5² + 12²) = 13 cm.
Question 17

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

  1. A72 cm²
  2. B36 cm²
  3. C42 cm²
  4. D30 cm²
Show answer
Answer: (B) 36 cm² Using Heron's formula, s = 18 and area = 36 cm².
Question 18

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

  1. A18 cm²
  2. B24 cm²
  3. C30 cm²
  4. D36 cm²
Show answer
Answer: (B) 24 cm² Using Heron's formula, s = 12 and area = 24 cm².
Question 19

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

  1. A5 : 6
  2. B16 : 25
  3. C4 : 5
  4. D64 : 125
Show answer
Answer: (B) 16 : 25 The ratio of areas of similar triangles equals the square of the ratio of sides.
Question 20

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. B21 cm
  3. C13 cm
  4. D16 cm
Show answer
Answer: (A) 15 cm Hypotenuse = √(9² + 12²) = 15 cm.

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

More Mathematics topics

Number System 22 Qs Profit, Loss & Discount 22 Qs Algebra 20 Qs Simple & Compound Interest 20 Qs Speed, Time & Distance 19 Qs Problems on Ages 17 Qs Ratio & Proportion 17 Qs Average 17 Qs

All Agniveer Navy topics →