SSC CGL 2020 PYQ — Question 62

SSC CGL - 3rd March 2020 Shift 1 • Quantitative Aptitude • Q62

If A lies in the first quadrant and 6tanA = 5, then the value of is:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 1

Understanding Application
Tricks

Given

6tanA = 5

tanA = 5/6 = p/b

So

h = √(52 + 62)

= √(25 + 36)

= √61

Now

= {8(5/√61) - 4(6/√61)}/{(6/√61) + 2(5/√61)}

= {40/√61 - 24/√61}/{6/√61 + 10/√61}

= {16/√61}/{16/√61}

= 1