SSC CHSL 2020 PYQ — Question 72

SSC CHSL - 19th October 2020 - Shift 3 • Quantitative Aptitude • Q72

If xsin30ocos60o = sin45cos45, then the value of x is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e 2.

Understanding/Application

xsin30cos60 = sin45cos45

sin30 = 1/2

cos60 = 1/2

sin45 = 1/√2

cos45 = 1/√2

x(1/2)(1/2) = 1/√2(1/√2)

x/4 = 1/2

x = 4/2

x = 2