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SSC CGL 2025 PYQ — Question 52

SSC CGL - 25 Sep 2025 - Shift 2 • Quantitative Aptitude • Q52

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If sin⁡A=35\sin A = \frac{3}{5}, then what is sin2A + cos2A - 2 sin A cos A?

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 125\frac{1}{25}.

sin A = 3/5

sin2A = 9/25

cos2A = 1 - sin2A = 1 – 9/25 = 16/25

⇒ cos A = 4/5

sin2A + cos2A – 2 sin A cos A

= 1 – 2 sin A cos A

= 1 – 2 × (3/5) × (4/5)

= 1 – 24/25

= 1/25