SSC CHSL 2020 PYQ — Question 51

SSC CHSL - 19th October 2020 - Shift 1 • Quantitative Aptitude • Q51

The value of (Sin30oCos60o + Cos45oSin45o)/(tan60oCot30o) is:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e 1/4.

Understanding/Application
(Sin300Cos600 + Cos450Sin450)/(tan600Cot300)

[(1/2 × 1/2) + (√1/√2 × 1/√2)]/(√3 × √3)

= [1/4 + 1/2]/3

= (3/4)/3

= 3/12

= 1/4