NDA / CDS / AFCAT - MCQ Practice Questions

If 3x - 7 = 2, what is the value of x?

What is the value of 4³ × 2⁻² ?

The HCF of 48 and 64 is:

If the ratio of two numbers is 3:5 and their sum is 64, find the larger number.

If a quadratic equation has roots α and β, and α + β = 7, αβ = 10, what is the equation?

The volume of a cone with radius 5 cm and height 12 cm is: (use π = $\frac{22}{7}$)

In a triangle, if one angle is 90° and the other two angles are in ratio 1:2, the angles are:

If cos θ = $\frac{7}{25}$ and θ is acute, find tan θ.

The average of five numbers is 35. If one number is replaced by 50, the new average becomes 38. What was the original number?

If log₁₀ 2 = 0.301, find log₁₀ 200.

If 2^(x+1) = 32, find the value of x.

A number when divided by 7 gives quotient 12 and remainder 3. The number is:

If ABCD is a rhombus with diagonals 6 cm and 8 cm, find its area.

What is the compound interest on Rs. 8000 at 10% per annum for 2 years?

In an AP, if first term a = 5, common difference d = 3, find the 10th term.

If |x - 3| = 5, what are the possible values of x?

If 2sin²θ - sin θ - 1 = 0, find sin θ (θ is acute).

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 on the wall.

If tan θ + cot θ = 4, find tan² θ + cot² θ.

The sum of first n natural numbers is 105. Find n.