Sonal is standing to the North of Amar and also to the West of Mahi.\nBased on this information about their relative positions on a standard map, in which direction is Mahi standing with respect to Amar?

Introduction / Context:
This is a relative position direction sense question involving three people: Amar, Sonal and Mahi. We are given information about Sonal's location relative to both Amar and Mahi, and we are asked to find Mahi's direction with respect to Amar. Such questions are solved by placing one person at a reference point (often Amar), plotting the position of the second person (Sonal) using the given relationships and then deducing the position of the third person (Mahi).

Given Data / Assumptions:

• Sonal is standing to the North of Amar.
• Sonal is also standing to the West of Mahi.
• We are asked: in which direction is Mahi standing with respect to Amar?
• We assume the standard orientation for directions: North is up, East is right, South is down and West is left.
• We assume that the descriptions “North of” and “West of” refer to straight-line projections on a simple map (no diagonal exceptions).

Concept / Approach:
To simplify, we fix the position of Amar at a convenient reference point, such as the origin of a coordinate system. Then we place Sonal relative to Amar and Mahi relative to Sonal. From there, we compute the relative position of Mahi with respect to Amar. If the resulting coordinates show that Mahi is to the East and North of Amar, the direction from Amar to Mahi is North-East; similarly we could get North-West, South-East or South-West depending on the signs of the horizontal and vertical differences.

Step-by-Step Solution:
Step 1: Assume Amar is at point A with coordinates (0, 0). Step 2: Sonal is to the North of Amar. Place Sonal at point S directly above A, say at (0, 1), meaning she is somewhere North of Amar. Step 3: Sonal is also to the West of Mahi. This means Mahi must be to the East of Sonal. Place Mahi at point M to the right of S, for example at (1, 1). Step 4: Now compare the coordinates of Mahi and Amar. Amar is at (0, 0) and Mahi is at (1, 1). Mahi is 1 unit to the East (positive x-direction) and 1 unit to the North (positive y-direction) of Amar. Step 5: Being both East and North of Amar places Mahi in the North-East direction relative to Amar.

Verification / Alternative check:
We can also reason without coordinates. If Sonal is North of Amar, draw Amar at a point and Sonal somewhere directly above. If Sonal is West of Mahi, draw Mahi somewhere to the right of Sonal. Now compare Amar and Mahi visually: Amar is at the lower left, Mahi is at the upper right. From Amar, you must move up (North) and then to the right (East) to reach Mahi, which is exactly the North-East direction. This geometric sketch confirms the coordinate-based conclusion.

Why Other Options Are Wrong:
South-West would mean Mahi is below and to the left of Amar, which contradicts Sonal being North of Amar and West of Mahi. North-West would place Mahi above and to the left of Amar, but we know Mahi must be to the East of Sonal, who is directly above Amar. South-East would put Mahi below and to the right of Amar, which again conflicts with the fact that Sonal is North of Amar and West of Mahi. East alone ignores the necessary Northward shift indicated by Sonal being North of Amar while also West of Mahi.

Common Pitfalls:
A frequent source of confusion is mixing up whether to draw positions relative to Amar or relative to Sonal. Some candidates incorrectly assume that if Sonal is North of Amar and West of Mahi, then Mahi is South-East of Amar, which happens only if the relationships are misinterpreted. Taking a moment to sketch the situation and labelling each person clearly prevents such mistakes and makes the North-East relationship obvious.

Final Answer:
Mahi is standing in the North-East direction with respect to Amar.