NDA / CDS / AFCAT - MCQ Practice Questions

If the roots of ax² + bx + c = 0 are α and β, then α + β = ?

A person walks 3 km north, then 4 km east. What is the shortest distance from the starting point?

If 2x + 3y = 13 and 3x + 2y = 12, find x + y.

What is the area of a circle with radius 7 cm? (Use π = $\frac{22}{7}$)

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

If ∫(2x + 3)dx = ?

A triangle has sides 5, 12, and 13 cm. What type of triangle is it?

Find the value of (x³ - 8)/(x - 2) when x ≠ 2.

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 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?

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.