Study the following information carefully and answer the questions given below

Some points are drawn on a sheet such that all the points are at different directions (having different distances) with each other. Point P is 20m south of Point J. Point E is 23m east of Point M which is exactly in the middle of Point J and Point P. Point E is in the north of Point W and the distance between them is same as the distance between Point M and Point P. Point W is in 8m west of Point V.

In which direction is Point M with respect to Point V?

Correct Answer: North-West

Let us analyze the given information step-by-step to determine the positions of all the points relative to each other on a 2D plane.

Step 1: Determine the positions of Point J, Point P, and Point M

Point P is 20m south of Point J.

Point M is exactly in the middle of Point J and Point P. Since the total distance between Point J and Point P is 20m, Point M lies on the vertical line connecting them, exactly 10m south of Point J and 10m north of Point P.

Step 2: Determine the position of Point E

Point E is 23m east of Point M.

Step 3: Determine the position of Point W

Point E is in the north of Point W, and the distance between Point E and Point W is the same as the distance between Point M and Point P, which is 10m.

Since Point E is 10m north of Point W, Point W is 10m south of Point E. Since Point M is also 10m north of Point P, Point W lies on the same horizontal level (horizontal line) as Point P, but 23m east of Point P.

Step 4: Determine the position of Point V

Point W is 8m west of Point V. This means Point V is 8m east of Point W.

Step 5: Determine the direction of Point M with respect to Point V

From our calculations:

- Point M is 10m north of the horizontal line containing Point P, Point W, and Point V.

- Point V is to the east of Point W, which is 23m east of Point M (so Point V is 31m east of Point M). Thus, Point M is to the west of Point V.

Combining the vertical direction (north) and the horizontal direction (west), Point M is located to the North-West of Point V.