The question below is followed by two statements numbered I and II. Choose the option that describes whether the statements are sufficient to answer the question.
How far is point Q from point P?
I. Starting from point P, Raju walks 6 m towards the south, then turns to his left and walks 8 m to reach point Q.
II. Point R is 8 m to the east of point P, and point Q is 6 m to the south of point R.
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → The question can be answered by using either statement alone.
Two perpendicular distances give the straight distance by Pythagoras: \(\sqrt{a^2+b^2}\).
Statement I alone:
A person walking south who turns left faces east
Q is 6 m south and 8 m east of P
\(PQ=\sqrt{6^2+8^2}=\sqrt{100}=\) 10 m: sufficient
Statement II alone:
Q is 8 m east and 6 m south of P
\(PQ=\sqrt{8^2+6^2}=\) 10 m: sufficient
