Three 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. T is to the north of R in line with QP. In which direction of P is T located?

Question

Mr. X starts walking from his house towards west. After walking a distance of 30 metres, he turned towards right and walked 20 metres. He then turned left and moving a distance of 10 metres, turned to his left again and walked 40 metres. He now turns to the left and walks 5 metres. Finally he turns to his left. In which direction is he walking now ?

Answer 1

Step 1: Understanding the Concept:
This problem involves relative positioning. We need to plot the points based on angular directions.
Step 2: Detailed Explanation:
1. Let P be the origin. 2. Q is South-west of P (bottom-left). 3. R is East of Q and South-east of P. This places R directly below P horizontally, but shifted to the right of Q. 4. T is North of R and "in line with QP."
Step 3: Calculation:
The line QP goes from South-west to North-east. Since T is on the extension of the line segment QP (starting from Q through P and beyond), and T is also North of R (which is to the right of the vertical line through P), T must be in the upper-right quadrant.
Step 4: Final Answer:
T is located North-east of P. Thus, the correct option is (c).

Three 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. T is to the north of R in line with QP. In which direction of P is T located?

Show Hint

The Correct Option is B

Solution and Explanation

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