NDA / CDS / AFCAT - MCQ Practice Questions

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

What is the sum of angles in a polygon with 8 sides?

If log₂ x = 5, then x = ?

The HCF of 36 and 48 is:

If a + b = 10 and ab = 21, find a² + b².

Find the derivative of f(x) = 3x² + 2x + 1 with respect to x.

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?

The perimeter of a rectangle is 28 cm and its length is 8 cm. Find its breadth.

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).

The LCM of 12 and 18 is:

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.

In a frequency distribution, if mean = 25, mode = 23, find median using the empirical relationship.

If a, b, c are in geometric progression with common ratio r, and a = 2, find the sum of first 5 terms when r = 2.

If sin θ = $\frac{3}{5}$ and θ is acute, find the value of cot θ.

The sum of interior angles of a polygon with 8 sides is: