CLT Quantitative Reasoning 3 — Questions and Answers
Question 1: What is the area of a circle with radius 5?
- 10π
- 25π (Correct answer)
- 50π
- 5π
Correct answer: 25π
Area = πr² = π(5²) = 25π.
Question 2: In a right triangle, the two legs measure 6 and 8. What is the length of the hypotenuse?
- 7
- 10 (Correct answer)
- 12
- 14
Correct answer: 10
√(6² + 8²) = √(36 + 64) = √100 = 10.
Question 3: What is the sum of the interior angles of a hexagon?
- 540°
- 720° (Correct answer)
- 900°
- 1080°
Correct answer: 720°
Sum = (n - 2) × 180° = (6 - 2) × 180° = 720°.
Question 4: A cube has a side length of 4. What is its total surface area?
- 64
- 96 (Correct answer)
- 128
- 48
Correct answer: 96
Surface area = 6s² = 6 × 16 = 96.
Question 5: Two parallel lines are cut by a transversal. If one angle measures 65°, what is its alternate interior angle?
- 25°
- 115°
- 65° (Correct answer)
- 90°
Correct answer: 65°
Alternate interior angles formed by parallel lines and a transversal are equal.
Question 6: What is the volume of a cylinder with radius 3 and height 7?
- 21π
- 42π
- 63π (Correct answer)
- 84π
Correct answer: 63π
V = πr²h = π(9)(7) = 63π.
Question 7: A triangle has two angles measuring 45° and 75°. What is the third angle?
- 50°
- 55°
- 60° (Correct answer)
- 65°
Correct answer: 60°
Third angle = 180° - 45° - 75° = 60°.
CLT Quantitative Reasoning 3
What is the area of a circle with radius 5?