SSC CGL 2025 PYQ — Question 62

The correct answer is option 3 i.e. $\frac{1}{25}$.

In the second quadrant: sin A > 0 and cos A < 0

$\sin^2 A + \cos^2 A = 1$

⇒ $\frac{9}{25} + \cos^2 A = 1$

⇒ $\cos^2 A = \frac{16}{25}$

⇒ $\cos A = -\frac{4}{5}$ (Since cos A < 0)

⇒ sin A + cos A = 3/5 + (–4/5) = –1/5

⇒ (sin A + cos A)² = (–1/5)² = 1/25