NDA / CDS / AFCAT
NDA, CDS, AFCAT — Maths, GK, English
Showing 11–20 of 44 questions
A person invests ₹5000 at 8% per annum for 2 years. Find simple interest.
Correct Answer:
C. ₹800
EXPLANATION
SI = (P × R × T)/100 = (5000 × 8 × 2)/100 = 800
Find the value of (5³)^(2/3).
Correct Answer:
B. 25
EXPLANATION
(5³)^(2/3) = 5^(3 × 2/3) = 5² = 25
A circle has radius 7 cm. What is its circumference?
Correct Answer:
B. 44 cm
EXPLANATION
Circumference = 2πr = 2 × (22/7) × 7 = 44 cm
If 2^x = 32, find the value of x.
Correct Answer:
B. 5
EXPLANATION
2^5 = 32, therefore x = 5
What is the sum of interior angles of a hexagon?
Correct Answer:
A. 720°
EXPLANATION
Sum of interior angles = (n-2) × 180° where n = 6. So (6-2) × 180° = 4 × 180° = 720°
Solve the inequality 3x + 7 > 16.
Correct Answer:
A. x > 3
EXPLANATION
3x + 7 > 16 implies 3x > 9, so x > 3
Find the equation of a line passing through (2, 3) with slope 2.
Correct Answer:
A. y - 3 = 2(x - 2)
EXPLANATION
Using point-slope form: y - y₁ = m(x - x₁), we get y - 3 = 2(x - 2) or simplified y = 2x - 1 (both equivalent)
Find the LCM of 24, 36, and 48.
Correct Answer:
A. 144
EXPLANATION
24 = 2³ × 3, 36 = 2² × 3², 48 = 2⁴ × 3. LCM = 2⁴ × 3² = 16 × 9 = 144
Integrate ∫(3x² + 4x + 5)dx
Correct Answer:
A. x³ + 2x² + 5x + C
EXPLANATION
∫(3x² + 4x + 5)dx = 3x³/3 + 4x²/2 + 5x + C = x³ + 2x² + 5x + C
If 2ˣ = 32, find x.
Correct Answer:
A. 5
EXPLANATION
2ˣ = 32 = 2⁵, therefore x = 5