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SSC CGL 2025 PYQ — Question 62

SSC CGL - 19 Sep 2025 - Shift 3 • Quantitative Aptitude • Q62

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If cotA = √3, what is the value of (1 + sinA)(1 + cosA)?

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Correct answer: B

Explanation

The correct answer is option 2 i.e. (6+33)4\frac{(6+3\sqrt3)}{4}.

cot A = √3 ⇒ A = 30°

(1 + sin A)(1 + cos A)

= (1 + sin 30°)(1 + cos 30°)

= (1 + 1/2)(1 + √3/2)

=32×(2+3)2={3\over2}\times\frac{(2+\sqrt3)}{2}

=(6+33)4=\frac{(6+3\sqrt3)}{4}