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SSC CGL 2025 PYQ — Question 74

SSC CGL - 14 Oct 2025 - Shift 1 • Quantitative Aptitude • Q74

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If sin(2x + 15°) = cos(x − 5°), what is the value of x?

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Correct answer: D

Explanation

sin A = cos B ⇒ A + B = 90°

Here: A = 2x + 15°, B = x − 5°

(2x + 15) + (x − 5) = 90

3x + 10 = 90

3x = 80

x = 80/3 = 26.67°