NDA / CDS / AFCAT - MCQ Practice Questions

What is the probability of getting a prime number when a die is rolled?

Find the derivative of x³ + 2x² - 5x + 3 with respect to x.

If x² - 5x + 6 = 0, find the sum of the roots.

A person invests Rs. 5000 at 8% per annum simple interest for 3 years. The interest earned is:

If sin 3θ = cos θ, where 0 < θ < 90°, find θ.

The distance between points (1, 2) and (4, 6) is:

In how many ways can 5 people be arranged in a line?

If log₂(x) + log₂(x-1) = 3, find the value of x.

A circle has radius 7 cm. Find the area of the sector with central angle 60°.

If cos θ = $\frac{3}{5}$ and θ is in the first quadrant, find sin θ.

Find the sum of the series 2 + 4 + 8 + 16 + ... up to 10 terms.

A man walks 30 km north, then 40 km east. Find his displacement from starting point.

If 2ˣ = 32, find x.

Find the value of sin 15°.

Find the coefficient of x² in the expansion of (2x - 3)⁴.

If the roots of equation x² + px + q = 0 are in ratio 2:3, find the relationship between p and q.

Integrate ∫(3x² + 4x + 5)dx

Find the LCM of 24, 36, and 48.

If a triangle has sides 6, 8, and 10, find its area using Heron's formula.

Solve: |2x - 5| = 7