SSC CHSL 2024 PYQ — Question 61

The correct answer is option 1 i.e. 57.

Given that, 7cosA + 24sinA + 32

For the maximumm value of the expression a cosx + b sinx + c,

Maximum value = $\sqrt{a^2 + b^2} + c$

According to the given question,

Maximum value = $\sqrt{7^2 + 24^2} + 32$

⇒ $\sqrt{49 + 576} + 32$

⇒ $\sqrt{625} + 32$

⇒ 25 + 32 = 57