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SSC CGL 2022 PYQ — Question 54

SSC CGL Tier II - Quant - 29 Jan 2022 • Quantitative Aptitude • Q54

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If sinA =  513\frac{5}{13}and 7cot B = 24, then the value of (secAcosB)(cosecB tanA) is:

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 6542\frac{65}{42}

In case of  sinA =  513\frac{5}{13} = p/h

Base2 = 169 - 25 = 144

b = 12

In case of 7cot B = 24

cot B = 24/7 = b/p

hypotenuse2 = 576 + 49 = 625

h = 25

SecA = 13/12 and TanA = 5/12

CosB = 24/25 and CosecB = 25/7

(secAcosB)(cosecB tanA) = 13/12 × 24/25 × 25/7 × 5/12 = 65/42