Lakshmi starts from point 'A' and travels 2 km Southwards to a point 'Z' and then turns right and travels twice that distance to reach 'Y'. She then turns left and travels five times the distance she covered between point 'A' and 'Z' and reaches point 'X'. From there she turns left and travels 4 km to reach destination 'B'. What is the shortest distance between the points 'A' and 'B' and what is B's direction with respect to 'A'?

Lakshmi starts from point 'A' and travels 2 km Southwards to a point 'Z' and then turns right and travels twice that distance to reach 'Y'.

She then turns left and travels five times the distance she covered between point 'A' and 'Z' and reaches point 'X'.

From there she turns left and travels 4 km to reach destination 'B'.

From the above given information following Path diagram will be - 

From the above Path diagram 12 km is shortest distance between the points 'A' and 'B' and south is B's direction with respect to 'A'.
Correct answer is (A) ​12 km, South.