Hemant in order to go to university started from his house in the east and…

Concept: In a direction-test problem, once the direction a person is walking (facing) is fixed, every left/right turn maps to one of the two directions adjacent to that facing direction on the compass, following a fixed 90-degree rotation rule -- turning right is a 90-degree clockwise rotation from the facing direction, turning left is a 90-degree anticlockwise rotation. Straight ahead stays the same as the facing direction, and the direction directly behind is the opposite of it. So, once the facing direction and one turn are known, the remaining directions are fixed automatically.

This item follows the classic four-way-crossing format: a crossing with exactly one road running to each of the four cardinal directions, one landmark per road. The accompanying diagram labels all four roads explicitly -- House to the East, Hospital to the West, Theatre to the South, and University to the North -- so the assignment is not a bare assumption but is read directly off the given figure.

1. Hemant's house lies in the east and he walks to reach the crossing, so his direction of travel (the direction he is facing at the crossing) is West, moving away from the east.

2. Apply the 90-degree rotation rule while facing West: a right turn (90-degree clockwise from West) points North, and a left turn (90-degree anticlockwise from West) points South.

3. The road to the left ends in a theatre, so by the rule above the theatre lies to the South.

4. Straight ahead (continuing to face West) leads to the hospital, so the hospital lies to the West.

5. That leaves only the right-turn direction unassigned, so the university must lie in that remaining direction.

Cross-check: Applying the rotation rule independently -- facing West, a 90-degree clockwise turn lands on North -- confirms the same result as Step 5 without relying on it, since South (left) and West (straight) are already accounted for by the theatre and the hospital.

The diagram itself labels this same direction as the university's, directly confirming the result: the university is in the North direction.