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NDA / CDS / AFCAT - MCQ Practice Questions

Practice <strong>NDA, CDS, AFCAT, CAPF</strong> MCQ questions covering Mathematics, English, General Knowledge, General Science, and Current Affairs. Perfect for Indian Army, Navy, and Air Force officer aspirants.

100 questions | 100% Free

Q.81Medium

A man covers 120 km in 3 hours. What is his speed in m/s?

Q.82Medium

If tan A = 1, find the value of 2 sin A cos A.

Q.83Easy

Find the median of {3, 7, 2, 9, 5, 1, 8}.

Q.84Hard

If nC2 = 21, find n.

Q.85Hard

Solve: 5^(2x) - 6×5^x + 5 = 0

Q.86Easy

In triangle ABC, if ∠A = 60°, ∠B = 80°, find ∠C.

Q.87Medium

If sin θ = and θ is acute, find the value of (5 cos θ + 4 tan θ).

Q.88Easy

The sum of first n natural numbers is 300. Find n.

Q.89Easy

A boat travels downstream for 30 km in 2 hours and upstream for 30 km in 3 hours. Find the speed of the boat in still water.

Q.90Medium

In a circle with radius 7 cm, a chord subtends an angle of 90° at the center. Find the length of the chord.

Q.91Medium

If log₂(x) + log₂(x-1) = 3, find x.

Q.92Easy

Two numbers are in the ratio 3:4. If their LCM is 180, find the greater number.

Q.93Medium

Find the value of cos 15° + cos 75°.

Q.94Easy

A man invests ₹10,000 at 10% compound interest per annum for 2 years. Find the compound interest.

Q.95Medium

If x = 2 + √3, find the value of x² + 1/x².

Q.96Easy

A sphere has surface area 616 cm². Find its radius (use π = ).

Q.97Easy

In a right-angled triangle, if one acute angle is 35°, find the other acute angle.

Q.98Medium

If the polynomial p(x) = x³ - 6x² + 11x - 6 has roots α, β, γ, find α + β + γ.

Q.99Hard

Find the remainder when 2⁵⁰ is divided by 7.

Q.100Easy

A ladder of length 13 m leans against a wall. If the foot of the ladder is 5 m away from the wall, find the height reached by the ladder on the wall.