ICET Mathematical Ability - Geometry 2 — Questions and Answers
Question 1: The diameter of a circle is 14 cm. What is its circumference? (Use π = 22/7)
- 40 cm
- 44 cm (Correct answer)
- 48 cm
- 52 cm
Correct answer: 44 cm
Circumference = πd = (22/7) × 14 = 44 cm.
Question 2: What is the area of a right triangle with legs 6 cm and 8 cm?
- 20 cm²
- 24 cm² (Correct answer)
- 28 cm²
- 32 cm²
Correct answer: 24 cm²
Area = (1/2) × base × height = (1/2) × 6 × 8 = 24 cm².
Question 3: In a rhombus, the diagonals are 10 cm and 24 cm. What is the area?
- 100 cm²
- 120 cm² (Correct answer)
- 130 cm²
- 140 cm²
Correct answer: 120 cm²
Area = (1/2) × d₁ × d₂ = (1/2) × 10 × 24 = 120 cm².
Question 4: What is the total surface area of a cube with edge length 4 cm?
- 64 cm²
- 80 cm²
- 96 cm² (Correct answer)
- 112 cm²
Correct answer: 96 cm²
Total surface area = 6 × side² = 6 × 16 = 96 cm².
Question 5: The exterior angle of a regular polygon is 45°. How many sides does it have?
- 6
- 7
- 8 (Correct answer)
- 9
Correct answer: 8
Number of sides = 360° ÷ exterior angle = 360° ÷ 45° = 8.
Question 6: If the side of a square is increased by 20%, by what percentage does its area increase?
- 36%
- 40%
- 44% (Correct answer)
- 48%
Correct answer: 44%
New area = (1.2s)² = 1.44s², so area increases by 44%.
The diameter of a circle is 14 cm.
What is its circumference? (Use π = 22/7)