Question

A wife and husband are standing in one place. Husband goes \(3\) km towards South and turns right and goes \(2\) km. Wife goes \(2\) km towards East. The wife will be in which direction from the husband?

• A. North-East
• B. South-East
• C. North-West
• D. South-West

Hint:

In direction questions, fix the starting point and track final coordinates of each person.

Answer 1

The Correct Option is A

Let the starting point be: \[ O. \] The husband first moves: \[ 3\text{ km South}. \] Then he turns right. When a person is facing South, his right side is West. So the husband moves: \[ 2\text{ km West}. \] Thus, the husband's final position is: \[ 2\text{ km West and }3\text{ km South} \] from the starting point. Now the wife moves: \[ 2\text{ km East} \] from the starting point. So wife's final position is: \[ 2\text{ km East} \] from the starting point. Now compare wife's position with husband's position. From the husband, the wife is: \[ 4\text{ km East} \] and: \[ 3\text{ km North}. \] East and North together form: \[ \text{North-East}. \] Therefore, the wife is in the North-East direction from the husband.