NTA Mathematics 3

Question 1

The HCF of 36 and 48 is:

Accepted Answer

12

Answer

Prime factorization gives 36 = 2²×3² and 48 = 2⁴×3, so HCF = 2²×3 = 12.

Question 2

If f(x) = x² + 3x + 2, then f(−1) is:

Accepted Answer

0

Answer

f(−1) = (−1)² + 3(−1) + 2 = 1 − 3 + 2 = 0.

Question 3

What is the volume of a cube with side length 4 cm?

Accepted Answer

64 cm³

Answer

Volume of a cube = side³ = 4³ = 64 cm³.

Question 4

The arithmetic mean of 5, 10, 15, 20, and 25 is:

Accepted Answer

15

Answer

Mean = (5+10+15+20+25)/5 = 75/5 = 15.

Question 5

In a right-angled triangle with legs 3 and 4, the hypotenuse is:

Accepted Answer

5

Answer

By the Pythagorean theorem: hypotenuse = √(3²+4²) = √(9+16) = √25 = 5.

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