SSC CHSL 2020 PYQ — Question 60

SSC CHSL - 14th October 2020 - Shift 1 • Quantitative Aptitude • Q60

If tanx = 3/2, then the value of  is:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e 13/5

Understanding

Tricks

Application

Given tanx = 3/2 = p/b

Means

p = 3 and b = 2

So

h = √(9 + 4)

h = √13

Now

= (3 × 3/√13 + 2 × 2/√13)/(3 × 3/√13 - 2 × 2/√13)

= (9/√13 + 4/√13)/9/√13 - 4/√13)

= (13/√13)/(5/√13)

= (√13/1)/(5/√13)

= 13/5