SSC CPO 2024 PYQ — Question 136

The correct answer is option 2 i.e. 1.

Given that, sin(x + y) = cos {3(x + y)}

When sin A = cos B, then A + B = 90°

According to the given question,

⇒ x + y + 3x + 3y = 90°

⇒ 4(x + y) = 90°

⇒ x + y = $45° \over 2$

Now, cot {2(x + y)} = cot{2($45° \over 2$)}

⇒ cot 45° = 1

Hence the required answer is 1.