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SSC CGL 2020 PYQ — Question 72

SSC CGL - 3rd March 2020 Shift 3 • Quantitative Aptitude • Q72

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The value of (tan 30o + tan 60o)/(cos 30o) is:

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Correct answer: B

Explanation

The correct answer is Option 2 i.e 8/3.

Understanding/Application

= (tan 300 + tan 600)/(cos300)

= (1/3 { \sqrt{3} } + 3{ \sqrt{3} })/(3{\sqrt{3}}/2)

= (3{\sqrt{3} }/3 + 3 {\sqrt{3} })/(3{\sqrt{3} }/2)

= [(3{\sqrt{3} } + 33{\sqrt{3} })/3]/(3{\sqrt{3} }/2)

= (43{\sqrt{3} }/3)/(3{\sqrt{3} }/2)

= 8/3