Which one is in the North-East of the person who is to the left of Kumar?

Concept: To find the direction of one point relative to another in a direction-sense problem, place the reference frame with East as +x and North as +y, assign each person's coordinates from the given distances, and combine the sign of the east-west difference with the sign of the north-south difference — same-signed east and north offsets place the target point to the North-East of the reference point.

Application

1. The person to the left of Kumar, per the figure, is Ankur — he sits 40 m west of Kumar.

2. Set Kumar as the origin (0, 0) with East = +x and North = +y.

3. Ankur is 40 m west of Kumar, so Ankur = (-40, 0); Nilesh is a further 25 m west of Ankur, so Nilesh = (-65, 0).

4. Pintu is 30 m north of Kumar, so Pintu = (0, 30); Dev is 60 m south of Kumar, so Dev = (0, -60).

5. Find Pintu's position relative to Ankur: (0 - (-40), 30 - 0) = (40, 30) — a positive east offset of 40 m and a positive north offset of 30 m.

6. A positive east offset combined with a positive north offset places Pintu to the North-East of Ankur — the person to the left of Kumar.

Cross-check

• The diagonal arrow drawn from Ankur toward Pintu in the figure visually confirms the North-East bearing.

• Dev lies due south of Kumar, so relative to Ankur, Dev works out to the South-East, not North-East.

• Nilesh lies due west of Ankur with no north-south offset at all, so Nilesh is due West, not North-East.