CTET CTET Math 2 — Questions and Answers
Question 1: A train travels 360 km in 4 hours. What is its speed in meters per second?
- 20 m/s
- 25 m/s (Correct answer)
- 30 m/s
- 15 m/s
Correct answer: 25 m/s
360 km/4 h = 90 km/h; 90 × 1000/3600 = 25 m/s.
Question 2: Which property is illustrated by: 3 × (4 + 5) = (3 × 4) + (3 × 5)?
- Commutative property
- Associative property
- Distributive property (Correct answer)
- Identity property
Correct answer: Distributive property
Multiplication distributing over addition is the distributive property.
Question 3: The area of a rhombus with diagonals 12 cm and 8 cm is:
- 96 cm²
- 48 cm² (Correct answer)
- 24 cm²
- 64 cm²
Correct answer: 48 cm²
Area of rhombus = (d1 × d2)/2 = (12 × 8)/2 = 48 cm².
Question 4: If 20% of a number is 50, what is 35% of the same number?
- 75
- 87.5 (Correct answer)
- 100
- 70
Correct answer: 87.5
The number = 50/0.20 = 250; 35% of 250 = 87.5.
Question 5: The HCF of 48 and 72 is:
- 12
- 24 (Correct answer)
- 36
- 8
Correct answer: 24
Prime factors: 48 = 2⁴×3, 72 = 2³×3²; HCF = 2³×3 = 24.
Question 6: A cylinder has radius 7 cm and height 10 cm. Its total surface area is: (use π = 22/7)
- 748 cm² (Correct answer)
- 880 cm²
- 440 cm²
- 594 cm²
Correct answer: 748 cm²
TSA = 2πr(h + r) = 2×(22/7)×7×(10+7) = 44×17 = 748 cm².
Question 7: In a class of 40 students, the ratio of boys to girls is 3:5. How many girls are there?
- 15
- 20
- 25 (Correct answer)
- 24
Correct answer: 25
Girls = 40 × 5/(3+5) = 40 × 5/8 = 25.
CTET CTET Math 2
A train travels 360 km in 4 hours.
What is its speed in meters per second?