Question

There are four towns $P,Q,R$ and $T.Q$ is to the South-west of $P,R$ is to the east of $Q$ and South-east of $P$ and $T$ is to the north of $R$ in line with $QP$. In which direction of $P$ is $T$ located?

• A. South-east
• B. North
• C. North-east
• D. East

Answer 1

Answer: (C)

North-east

Consider a Cartesian plane taking positive $X-$axis as East; negative $X-$axis as West; positive $Y-$axis as North and negative $Y-$axis as South.
Let us consider that $P$ is at origin. Hence $Q$ would be in the third quadrant; $R$ would be in fourth quadrant because it is in the South-east of $P$. Finally $T$ would be in the first quadrant as $P,Q,T$ are on the same line. Hence $T$ would be on North-east of $P$.