SSC CGL 2024 PYQ — Question 61

SSC CGL - 09 Sep 2024 - Shift 2 • Quantitative Aptitude • Q61

Which of the following angles can be the angles of a triangle?

1) π6,π3π2\frac{\pi}{6},\frac{\pi}{3}\frac{\pi}{2}  2) π3,π3π2\frac{\pi}{3},\frac{\pi}{3}\frac{\pi}{2} 3) π6,π3π4\frac{\pi}{6},\frac{\pi}{3}\frac{\pi}{4} 4) π2,π2π3\frac{\pi}{2},\frac{\pi}{2}\frac{\pi}{3}

Show answer & explanation

Correct answer: D

Explanation

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

Put π = 180°

In Option 1 

π6,π3π2\frac{\pi}{6},\frac{\pi}{3}\frac{\pi}{2}

⇒ 180/6, 180/3, 180/2

⇒ 30, 60, 90

Sum of the angles = 30 + 60 + 90 = 180

In Option 2 

π3,π3π2\frac{\pi}{3},\frac{\pi}{3}\frac{\pi}{2}

⇒ 180/3, 180/3, 180/2

⇒ 60, 60, 90

Sum of the angles = 60 + 60 + 90 = 210 (Can't possible)

In Option 3 

π6,π3π4\frac{\pi}{6},\frac{\pi}{3}\frac{\pi}{4}

⇒ 180/6, 180/3, 180/4

⇒ 30, 60, 45

Sum of the angles = 30 + 60 + 45 = 135 (Can't possible)

In Option 4 

π2,π2π3\frac{\pi}{2},\frac{\pi}{2}\frac{\pi}{3}

⇒ 180/2, 180/2, 180/3

⇒ 90, 90, 60

Sum of the angles = 90 + 90 + 60 = 240 (Can't possible)