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SSC CGL 2025 PYQ — Question 28

SSC CGL - 26 Sep 2025 - Shift 1 • Quantitative Aptitude • Q28

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If tan A + sec A = 3, find tan A.

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 43\frac{4}{3}

tan A + sec A = 3

(sec A + tan A)(sec A − tan A) = 1

sec A − tan A = 1/3

(sec A + tan A) + (sec A − tan A) = 3 + 1/3

2 sec A = 10/3

sec A = 5/3

tan A = 3 − sec A = 3 − 5/3 = 4/3