Geometry MCQs for CCAT | 20 Practice Questions with Answers

Q: What is the area of a circle with radius 7 cm? (Use Ï€ = 22/7)

The correct answer is A: 154 cm². Area = Ï€r² = (22/7) × 49 = 154 cm².

Q: Find the perimeter of a rectangle with length 12 cm and breadth 8 cm.

The correct answer is B: 40 cm. Perimeter = 2(l+b) = 2(12+8) = 40 cm.

Q: The sum of angles of a triangle is:

The correct answer is B: 180°. The sum of interior angles of any triangle is 180°.

Q: Find the area of a triangle with base 10 cm and height 6 cm.

The correct answer is B: 30 cm². Area = (1/2) × base × height = (1/2) × 10 × 6 = 30 cm².

Q: The diagonal of a square is 10√2 cm. Find its area.

The correct answer is B: 100 cm². Diagonal = a√2, so a = 10. Area = a² = 100 cm².

Q1.

What is the area of a circle with radius 7 cm? (Use Ï€ = 22/7)

A154 cm²

B144 cm²

C164 cm²

D176 cm²

Show Answer & Explanation

Correct Answer: A — 154 cm²

Area = Ï€r² = (22/7) × 49 = 154 cm².

Q2.

Find the perimeter of a rectangle with length 12 cm and breadth 8 cm.

A32 cm

B40 cm

C48 cm

D96 cm

Show Answer & Explanation

Correct Answer: B — 40 cm

Perimeter = 2(l+b) = 2(12+8) = 40 cm.

Q3.

The sum of angles of a triangle is:

A90°

B180°

C270°

D360°

Show Answer & Explanation

Correct Answer: B — 180°

The sum of interior angles of any triangle is 180°.

Q4.

Find the area of a triangle with base 10 cm and height 6 cm.

A20 cm²

B30 cm²

C40 cm²

D60 cm²

Show Answer & Explanation

Correct Answer: B — 30 cm²

Area = (1/2) × base × height = (1/2) × 10 × 6 = 30 cm².

Q5.

The diagonal of a square is 10√2 cm. Find its area.

A50 cm²

B100 cm²

C150 cm²

D200 cm²

Show Answer & Explanation

Correct Answer: B — 100 cm²

Diagonal = a√2, so a = 10. Area = a² = 100 cm².

Q6.

Find the circumference of a circle with diameter 14 cm.

A44 cm

B48 cm

C52 cm

D56 cm

Show Answer & Explanation

Correct Answer: A — 44 cm

Circumference = Ï€d = (22/7) × 14 = 44 cm.

Q7.

In a right triangle, if two sides are 3 cm and 4 cm, find the hypotenuse.

A5 cm

B6 cm

C7 cm

D8 cm

Show Answer & Explanation

Correct Answer: A — 5 cm

Hypotenuse = √(3² + 4²) = √25 = 5 cm.

Q8.

The volume of a cube with side 5 cm is:

A100 cm³

B125 cm³

C150 cm³

D175 cm³

Show Answer & Explanation

Correct Answer: B — 125 cm³

Volume = side³ = 5³ = 125 cm³.

Q9.

Each interior angle of a regular hexagon is:

A108°

B120°

C135°

D144°

Show Answer & Explanation

Correct Answer: B — 120°

Interior angle = (n-2)×180/n = 4×180/6 = 120°.

Q10.

The surface area of a sphere with radius 7 cm is: (π = 22/7)

A576 cm²

B616 cm²

C686 cm²

D716 cm²

Show Answer & Explanation

Correct Answer: B — 616 cm²

Surface area = 4πr² = 4 × (22/7) × 49 = 616 cm².

Q11.

The area of a rhombus with diagonals 10 cm and 14 cm is:

A60 cm²

B70 cm²

C80 cm²

D140 cm²

Show Answer & Explanation

Correct Answer: B — 70 cm²

Area = (1/2) × d₁ × d₂ = (1/2) × 10 × 14 = 70 cm².

Q12.

The volume of a cone with radius 7 cm and height 12 cm is: (π = 22/7)

A528 cm³

B616 cm³

C672 cm³

D704 cm³

Show Answer & Explanation

Correct Answer: B — 616 cm³

Volume = (1/3)πr²h = (1/3) × (22/7) × 49 × 12 = 616 cm³.

Q13.

A cylinder has radius 7 cm and height 10 cm. Its curved surface area is: (π = 22/7)

A400 cm²

B420 cm²

C440 cm²

D460 cm²

Show Answer & Explanation

Correct Answer: C — 440 cm²

CSA = 2πrh = 2 × (22/7) × 7 × 10 = 440 cm².

Q14.

Two parallel sides of a trapezium are 12 cm and 8 cm. If height is 5 cm, find area.

A40 cm²

B50 cm²

C60 cm²

D100 cm²

Show Answer & Explanation

Correct Answer: B — 50 cm²

Area = (1/2) × (a+b) × h = (1/2) × 20 × 5 = 50 cm².

Q15.

The angle subtended by a semicircle at any point on it is:

A45°

B60°

C90°

D180°

Show Answer & Explanation

Correct Answer: C — 90°

Angle in a semicircle is always 90° (theorem).

Q16.

If radius of a circle is increased by 50%, its area increases by:

A50%

B100%

C125%

D150%

Show Answer & Explanation

Correct Answer: C — 125%

New area = π(1.5r)² = 2.25πr². Increase = 125%.

Q17.

The perimeter of an equilateral triangle is 36 cm. Its area is:

A36√3 cm²

B27√3 cm²

C24√3 cm²

D18√3 cm²

Show Answer & Explanation

Correct Answer: A — 36√3 cm²

Side = 12 cm. Area = (√3/4) × 144 = 36√3 cm².

Q18.

A chord of length 16 cm is at distance 6 cm from center. Radius of circle is:

A8 cm

B10 cm

C12 cm

D14 cm

Show Answer & Explanation

Correct Answer: B — 10 cm

r² = 8² + 6² = 100. r = 10 cm.

Q19.

Volume of a hemisphere with radius 6 cm is: (π = 22/7)

A452.57 cm³

B428 cm³

C400 cm³

D350 cm³

Show Answer & Explanation

Correct Answer: A — 452.57 cm³

Volume = (2/3)πr³ = (2/3) × (22/7) × 216 = 452.57 cm³.

Q20.

The ratio of areas of two similar triangles is 9:16. Ratio of their sides is:

A3:4

B9:16

C81:256

D4:3

Show Answer & Explanation

Correct Answer: A — 3:4

For similar triangles, area ratio = (side ratio)². Side ratio = √(9/16) = 3:4.

Geometry — Practice MCQs for CCAT

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