SSC CGL 2023 PYQ — Question 59

SSC CGL - 20 July 2023 - Shift 3 • Quantitative Aptitude • Q59

Find the value of 23\frac{2}{3} tan2 60° + 3 cos2 30° - 2 sec2 30°- 34\frac{3}{4} cot2 60°.

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 1.33.

Given that

⇒ 23\frac{2}{3} tan2 60° + 3 cos2 30° - 2 sec2 30°- 34\frac{3}{4} cot2 60°

⇒ 23\frac{2}{3} × 3 + 3 × 3/4 - 2 × 4/3 - 34\frac{3}{4} × 1/3

⇒ 2 + 9/4 - 8/3 - 1/4

⇒ 2 + 8/4 - 8/3

⇒ 2 + 2 - 8/3

⇒ 4 - 8/3

⇒ 4/3 = 1.33