NDA / CDS / AFCAT - MCQ Practice Questions

Find the equation of a line passing through (2, 3) with slope 2.

If cos 2θ = $\frac{1}{2}$, find θ (where 0 < θ < 180°).

What is the domain of f(x) = √(x² - 4)?

Find the value of tan 75°.

A train 100 m long is moving at 60 km/h. How long does it take to cross a platform 200 m long?

Solve the inequality 3x + 7 > 16.

If sec θ - tan θ = $\frac{1}{5}$, find sec θ + tan θ.

What is the sum of interior angles of a hexagon?

If 2^x = 32, find the value of x.

A circle has radius 7 cm. What is its circumference?

Find the value of (5³)^($\frac{2}{3}$).

If a:b = 3:4 and b:c = 5:6, find a:b:c.

Solve: 2x² - 7x + 3 = 0

If log₁₀(x) = 2, find x.

A person invests ₹5000 at 8% per annum for 2 years. Find simple interest.

If cot θ = $\frac{12}{5}$, find sin θ (where θ is acute).

Find the area of a parallelogram with base 15 cm and height 8 cm.

If A = {1,2,3} and B = {2,3,4}, find (A ∪ B) ∩ A.

A quadratic equation has roots 2 and -3. Find the equation.

If 3^x × 3^(x+1) = 243, find x.