SSC Selection Post 2020 PYQ — Question 60

SSC Selection Post - Graduation Level 2020 - 9 Nov 2020 - Shift 2 • Quantitative Aptitude • Q60

If secθ\theta = 135\frac{13}{5}, then the value of 10tanθ+24cosecθ39sinθ−10secθ\frac{10tan\theta +24cosec\theta}{39sin\theta-10sec\theta}is:

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Correct answer: B

Explanation

The correct answer is Option 2 i.e. 5.

secθ = 13/5

Triangle sides: 5, 12, 13

tanθ = 12/5; cosecθ = 13/12; sinθ = 12/13

10tanθ+24cosecθ39sinθ−10secθ\frac{10tan\theta +24cosec\theta}{39sin\theta-10sec\theta}

= [(10 × 12/5 + 24 × 13/12)/(39 × 12/13 - 10 × 13/5)]

= [(24 + 26)/(36 - 26)]

= 50/10

= 5