Difficulty: Easy
Correct Answer: North
Explanation:
Introduction:
This question is structurally identical to the earlier Hemant example and tests the same reasoning: interpreting a person's facing direction at a road crossing and then deducing which directions the various roads represent. Ravi starts from the East, walks to a crossing, and we know where the theatre and hospital are. We must identify the remaining direction, which is where the university lies.
Given Data / Assumptions:
• Ravi's home is in the East of a crossing.• He walks from his home to the crossing, so he travels West.• At the crossing, the road to his left leads to a theatre.• The road straight ahead leads to a hospital.• The university is at one of the remaining directions from the crossing.
Concept / Approach:
When Ravi reaches the crossing, his facing direction is the same as the direction in which he has been walking, namely West. We then interpret "left" and "straight ahead" using this facing direction. The road behind him is East, where he came from. The road to his left, when facing West, is South. The road straight ahead is West. The only unused direction then is North, where the university must be located.
Step-by-Step Solution:
Step 1: Place the crossing at the origin of a compass diagram.Step 2: Since Ravi's home is in the East, his journey from home to the crossing is along the West direction, so he arrives at the crossing facing West.Step 3: The road straight ahead of him (in the direction he is facing) is thus the West road. According to the problem, this road leads to the hospital.Step 4: When a person faces West, the left-hand side is towards the South. So the road to his left is the South road, and this one leads to the theatre.Step 5: The road behind him is the East road, returning to his home, and is not mentioned as leading to the university.Step 6: The only remaining direction from the crossing is the North road. Therefore, the university must be to the North of the crossing.
Verification / Alternative check:
If you sketch the situation with a simple cross-shaped junction and arrows for Ravi's path, you will see that when he approaches from the East, he must be facing West at the junction. It is easy then to label the left as South and straight ahead as West, leaving North as the only unassigned direction for the university.
Why Other Options Are Wrong:
South is given as the direction to the theatre, not the university. West is the direction to the hospital. East is just the way back home. South-West is a diagonal direction not even considered in the problem statement and cannot represent a road in a simple four-way crossing. Hence they are all unsuitable.
Common Pitfalls:
A typical mistake is to assume Ravi is initially facing North when he arrives at the crossing, which mislabels his left and straight-ahead routes. Another error is to ignore the phrase "from his home which is in the East" and treat East as just a label rather than part of his path. Always anchor left and right to the person's actual facing direction as they arrive at the crossing.
Final Answer:
From the crossing, the university lies towards the North direction.
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