NDA / CDS / AFCAT
NDA, CDS, AFCAT — Maths, GK, English
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Showing 41–44 of 44 questions
The HCF of 36 and 48 is:
A 6
B 8
C 12
D 16
Correct Answer:  C. 12
EXPLANATION

36 = 2²×3², 48 = 2⁴×3. HCF = 2²×3 = 12

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If log₂ x = 5, then x = ?
A 16
B 25
C 32
D 64
Correct Answer:  C. 32
EXPLANATION

log₂ x = 5 means 2⁵ = x, therefore x = 32

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What is the sum of angles in a polygon with 8 sides?
A 1080°
B 1260°
C 1440°
D 1620°
Correct Answer:  A. 1080°
EXPLANATION

Sum of interior angles = (n-2)×180° = (8-2)×180° = 6×180° = 1080°

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If sin θ = 3/5 and θ is in the second quadrant, find cos θ.
A -4/5
B 4/5
C 3/4
D -3/4
Correct Answer:  A. -4/5
EXPLANATION

In second quadrant, cos is negative. Using sin²θ + cos²θ = 1: cos²θ = 1 - 9/25 = 16/25, so cos θ = -4/5

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