SSC CGL 2023 PYQ — Question 58

The correct answer is option 3 i.e.  $\frac{12}{5}$.

Given that 

PQ : QR = 3 : 4

Let PQ = 3x and QR = 4x

Hence PR² = PQ² + QR²

⇒ PR = 5x

Sin P = $\frac{QR}{PR}$ = $\frac{4}{5}$

Sin Q = Sin 90 = 1

Sin R = $\frac{PQ}{PR}$ = $\frac{3}{5}$

Hence Sin P + Sin Q + Sin R = $\frac{4}{5}$ + 1 + $\frac{3}{5}$ = $\frac{12}{5}$