Hemant, in order to go to the university, starts from his house which is located in the East of a road crossing. He comes to the crossing, where the road to the left leads to a theatre and the road straight ahead leads to a hospital. In which direction is the university located from the crossing?

Introduction:
This is a conceptual direction–sense problem about a road junction and the relative position of different destinations. Hemant starts from a house located in the East of a crossing and walks towards the crossing. We are told where the theatre and hospital lie with respect to Hemant's route at the crossing, and we must infer the likely direction of the university, which is the remaining road at the junction.

Given Data / Assumptions:
• Hemant's house is in the East of a crossing.• He walks from his house to the crossing, so he walks from East towards the West.• At the crossing, the road to the left leads to a theatre.• The road straight ahead leads to a hospital.• The university is on another road from the same crossing.

Concept / Approach:
When Hemant reaches the crossing, his facing direction is the same as the direction he walked in to reach it. Since his house is in the East, he must be walking West. At the crossing, the road straight ahead is therefore towards the West, and the road to his left is towards the South. The fourth road (the one not mentioned) must then be towards the North. That remaining direction is where the university lies.

Step-by-Step Solution:
Step 1: Place the crossing at the centre of a simple compass diagram.Step 2: Hemant's house is to the East of the crossing. To get from his house to the crossing, he must walk West.Step 3: When he reaches the crossing, he is therefore facing West.Step 4: The road straight ahead for him at that point is in the West direction, and we are told that this road leads to the hospital.Step 5: When a man faces West, his left-hand side is towards the South. Thus, the road to his left is towards the South and leads to the theatre.Step 6: The remaining directions at the crossing are East (behind him) and North (to his right). The road behind is where he came from and not where the university is said to be.Step 7: Therefore, the only remaining unused direction for another destination is North. Hence, the university must be in the North direction from the crossing.

Verification / Alternative check:
If we imagine standing at the crossing facing West, the four roads are clearly arranged as: West straight ahead, East behind, South to the left, and North to the right. We already know which roads lead to the theatre and hospital. The unexplained road must be the one to the right (North), which is the natural candidate for the university in this type of puzzle.

Why Other Options Are Wrong:
South is already associated with the theatre. East is where Hemant's house is located and corresponds to the road behind him. West is associated with the hospital. Therefore, these directions are already taken. Only North remains unused and must be the direction of the university.

Common Pitfalls:
Some students mistakenly reverse Hemant's direction and assume he is walking East towards the crossing, which flips left and right and leads to incorrect conclusions. Another frequent error is to ignore "from his house in the East" and assume he is standing at the crossing facing North. Always base left and right on the direction of travel described in the problem.

Final Answer:
From the crossing, the university is located towards the North direction.