ICET Mathematical Ability - Geometry 1 — Questions and Answers
Question 1: The radius of a circle is 7 cm. What is its area? (Use π = 22/7)
- 144 cm²
- 154 cm² (Correct answer)
- 164 cm²
- 176 cm²
Correct answer: 154 cm²
Area = πr² = (22/7) × 49 = 154 cm².
Question 2: The angles of a triangle are in the ratio 1:2:3. What is the largest angle?
- 60°
- 75°
- 90° (Correct answer)
- 120°
Correct answer: 90°
Total = 180°; largest angle = (3/6) × 180° = 90°.
Question 3: A rectangle has length 15 cm and width 8 cm. What is the length of its diagonal?
- 16 cm
- 17 cm (Correct answer)
- 18 cm
- 19 cm
Correct answer: 17 cm
Diagonal = √(15² + 8²) = √(225 + 64) = √289 = 17 cm.
Question 4: What is the volume of a cube with side length 5 cm?
- 75 cm³
- 100 cm³
- 125 cm³ (Correct answer)
- 150 cm³
Correct answer: 125 cm³
Volume = side³ = 5³ = 125 cm³.
Question 5: Two parallel lines are cut by a transversal. If one interior angle is 65°, what is its alternate interior angle?
- 25°
- 45°
- 65° (Correct answer)
- 115°
Correct answer: 65°
Alternate interior angles formed by a transversal cutting parallel lines are always equal, so the angle is 65°.
Question 6: The perimeter of an equilateral triangle is 24 cm. What is its area? (Use √3 = 1.732)
- 24.78 cm²
- 27.71 cm² (Correct answer)
- 30.00 cm²
- 32.00 cm²
Correct answer: 27.71 cm²
Side = 8 cm; Area = (√3/4) × 8² = (1.732/4) × 64 ≈ 27.71 cm².
ICET Mathematical Ability - Geometry 1
The radius of a circle is 7 cm.
What is its area? (Use π = 22/7)