Rajesh starts from Point A and drives 51 km towards the east. He then takes a right turn, drives 56 km, turns right and drives 56 km. He then takes a right turn and drives 65 km. He takes a final right turn, drives 5 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90-degree turns only unless specified.)
9 km to the south
Starting at point A and facing east, Rajesh drives 51 km east, then turns right to face south and drives 56 km, then turns right again to face west and drives 56 km.
He then turns right to face north and drives 65 km, and finally turns right once more to face east and drives 5 km to reach point P.
Plotting these moves on a coordinate grid with A at the origin, the east-west moves give a net displacement of 51 - 56 + 5 = 0 km, and the north-south moves give a net displacement of -56 + 65 = 9 km north.
So point P lies exactly 9 km due north of point A.
To return from P to A, Rajesh must therefore travel 9 km southward.
Hence, Rajesh should drive 9 km to the south to reach point A again.
Similar Questions
Ritwik starts from Point A and drives 46 km towards east. He then takes a right turn, drives 54 km, turns right and drives 56 km. He then takes a right turn and drives 63 km. He takes a final right turn, drives 10 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90 degrees turns only unless specified)
Mr. Nima starts from Point A and drives 26 km towards south. He then takes a right turn, drives 31 km, turns right and drives 42 km. Next, he takes a right turn, drives 25 km, turns right and drives 11 km. He then takes a left turn and drives 14 km. He takes a final right turn, drives 5 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90° turns only, unless specified.)
Karan starts from Point A and drives 12 km towards north. He then takes a left turn, drives 8 km, turns left and drives 14 km.
He then takes a left turn and drives 13 km. He takes a final left turn, drives 2 km and stops at Point P.
How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90 degree turns only, unless specified.)
Town X is to the west of Town Y. Town L is to the north of Town X. Town M is to the south of Town X. Town L is to the north-west of Town Y. Town A is to the east of Town Y. What is the position of Town L with respect to Town A?
Ajay starts driving his car towards the north. After driving 10 m, he turns towards the left and drives 30 m. He then turns towards the right and drives 20 m. He finally turns towards the left and drives 10 m. In which direction is he facing now? (All turns are 90-degree turns only unless specified.)
Town B is to the west of Town X. Town C is to the east of Town X. Town D is to the south of Town C. Town C is to the west of Town A.
What is the position of Town X with respect to Town A?
Raghav starts from Point A and drives 22 km towards the north. He then takes a left turn, drives 24 km, turns left and drives 38 km. He then takes a left turn and drives 41 km. He takes a final left turn, drives 16 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90-degree turns only unless specified.)
Mr. Jigmee starts from Point A and drives 29 km towards the west. He then takes a left turn, drives 11 km, turns left and drives 46 km. He then takes a left turn, drives 36 km, turns left and drives 5 km. He then takes a left turn and drives 9 km. He takes a final right turn, drives 12 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90° turns only unless specified.)
S is the daughter of E. E is the wife of L. N is the mother of K. N is the sister of L. How is N related to S?
Select the pair that follows the same pattern as that followed by the two pairs given below. Both pairs follow the same pattern.
BIK : IPR
EAT : LHA
Important Questions from Direction and Distance
- Johny starts from Point A and drives 6 km towards the North. He then takes a right turn, drives 17 km, turns right and drives 13 km. He then takes a right turn and drives 8 km. He takes a final right turn, drives 7 km and stops at Point P. How far (shortest distance) and towards which direction should he drive to reach Point A again? (All turns are 90 degrees turns only unless specified.)
- Town Q is to the east of Town P. Town R is to the south of Town Q. Town S is to the east of Town R. Town T is to the south of Town S. Town U is to the east of Town T. What is the position of Town U with respect to Town Q?
- Binoy starts from Point Y and drives 16 km towards the north. He then takes a right turn and drives 43 km, then turns right and drives 38 km. He then takes a right turn and drives 19 km. He takes a final right turn, drives 22 km and stops at Point Z. How far (shortest distance) and in which direction should he drive in order to reach Point Y again? (All turns are 90-degree turns only unless specified.)
- Himank starts from Point A and drives 13 km towards West. He then takes a left turn, drives 3 km, turns left and drives 16 km. He then takes a left turn and drives 6 km. He takes a final left turn, drives 3 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90° turns only unless specified.)
- Shyam starts from Point A and drives 12 km towards east. He then takes a right turn,
drives 7 km, turns right and drives 5 km. He then takes a left turn and drives 9 km. He
takes a final right turn, drives 7 km and stops at Point P. How far (shortest distance) and
towards which direction should he drive in order to reach Point A again? (All turns are
$90^{\circ}$ turns only unless specified.)
