SSC CGL 2022 PYQ — Question 62

SSC CGL - 11 April 2022 - Shift 2 • Quantitative Aptitude • Q62

What is the value of: 8√3 sin 30°tan 60° - 3cos0° + 3 sin245° + 2cos230?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 12

8√3 sin300 tan600 - 3cos00 + 3sin2450 + 2cos2300

= [8√3 × (1/2) × √3] - (3 × 1) + 3(1/√2)2 + 2(√3/2)2

= 12 - 3 + 3(1/2) + 2(3/4)

= 12 - 3 + (3/2) + (3/2)

= 12 - 3 + 3

= 12