SSC CGL 2021 PYQ — Question 73

The correct answer is option 3 i.e. 4.

In $\triangle$ABC by using Pythagoras' theorem

a² + b² = 13²...............(1)

In $\triangle$ABQ by using Pythagoras' theorem

x² + a² = 11²................(2)

In $\triangle$CBP by using Pythagoras' theorem

b² + y² = 8²..................(3)

In $\triangle$BPQ by using Pythagoras' theorem

x² + y² = PQ²..............(4)

On adding equations 2 and 3 we get,

x² + a² + b² + y² = 121 + 64

x² + y² = 185 - 169

x² + y² = 16

PQ² = 16

PQ = 4.