SSC CHSL 2021 PYQ — Question 61

SSC CHSL - 15 April 2021 - Shift 1 • Quantitative Aptitude • Q61

If A lies between 40º and 540º, and sinA = 0.5, what is the value of A/3 in degrees?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 170º.

Sin A = 0.5 

⇒ Sin A = 510\frac{5}{10} 

⇒ Sin A = 12\frac{1}{2}

⇒ Sin A = sin(180°- 30°)

⇒ sin A = sin 150°   

[If sin A = 150, then A3\frac{A}{3} = 50,  is not possible in this case]

⇒ sin A = sin (360°+ 150°)

⇒ sin A = sin 510° 

⇒ A = 510° 

A3\frac{A}{3} =510o3\frac{510^o}{3} = 170°