Direction Sense Test Questions and Answers

Q: The length and breadth of a room are 8 m and 6 m respectively. A cat runs along all the four walls and finally along a diagonal order to catch a rat. How much total distance is covered by the cat?

Correct answer: 38Running along all four walls covers the perimeter, \( 2(8+6) = 28 \) m, and the diagonal is \[ \sqrt{8^2+6^2} = 10 \text{ m} \] so the cat covers \( 28 + 10 = \mathbf{38} \) metres in all.

Q: Two cars start from the opposite places of a main road, 150 km apart. First car runs for 25 km and takes a right turn and then runs 15 km. It then turns left and then runs for another 25 km and then takes the direction back to reach the main road. In the mean time, due to minor break down the other car has run only 35 km along the main road. What would be the distance between two cars at this point?

Correct answer: 65 kmThe two cars start 150 km apart and move towards each other. The first covers 25 km along the road, steps 15 km aside and back again after another 25 km, so it has advanced 50 km along the road; the second’s progress leaves the gap between them at 65 km.

Q: Rahul put his timepiece on the table in such a way that at 6 P.M. hour hand points to North. In which direction the minute hand will point at 9.15 P.M. ?

Correct answer: WestAt six o’clock the hour hand stands at the 6 on the dial, and that direction is north. At a quarter past nine the minute hand stands at the 3. Going round the dial from 6 to 3 is nine hour-marks, or \( 9 \times 30^\circ = 270^\circ \), which from north brings us to the west.

Q: I am facing South. I turn right and walk 20 metre. Then I turn right again and walk 10 metre. Then I turn left and walk 10 metre and then turning right walk 20 metre. Then I turn right again and walk 60 metre. In which direction am I from the starting point ?

Correct answer: North-EastFacing south, a right turn brings me west. The legs then come to 20 + 10 = 30 west against 60 east, leaving 30 east, and 10 + 20 = 30 north. Being both east and north of the start, I am to its north-east.

Q: Rasik walked 20 m towards north. Then he turned right and walks 30 m. Then he turns right and walks 35 m. Then he turns left and walks 15 m. Finally he turns left and walks 15 m. In which direction and how many metres is he from the starting position?

Correct answer: 45 m EastAdding the legs: north 20, then east 30, then south 35, then east 15, then north 15. The northward moves come to \( 20 - 35 + 15 = 0 \) and the eastward to \( 30 + 15 = 45 \). So he finishes 45 m east of his starting point.

Q: I am facing south. I turn right and walk 20 m. Then I turn right again and walk 10m. Then I turn left and walk 10m and then turning right walk 20m. Then I turn right again and walk 60m. In which direction am I from the starting point?

Correct answer: North-EastFacing south, a right turn is to the west. Taking the start as the origin with east positive: west 20 gives \( (-20,0) \); the next right turn faces north, so 10 north gives \( (-20,10) \); a left turn faces west again, so 10 more gives \( (-30,10) \); a right turn faces north, so 20 gives \( (-30,30) \); and a final right turn faces east, so 60 gives \( (30,30) \). Both coordinates are positive, so he is north-east of the start.

Q: A boy rode his bicycle Northward, then turned left and rode 1 km and again turned left and rode 2 km. He found himself 1 km west of his starting point. How far did he ride northward initially?

Correct answer: 2 kmAfter riding north he turns left to go 1 km west, then left again to go 2 km south. He ends 1 km west of the start, which is right - and for him to be level with it north to south, the 2 km south must exactly cancel the first leg. So he rode 2 km northward.

Q: A child went 90 m in the East to look for his father, then he turned right and went 20 m. After this he turned right and after going 30 m he reached to his uncle's house. His father was not there. From there he went 100 m to his north and met his father. How far did he meet his father from the starting point?

Correct answer: 100 mThe child goes 90 m east, 20 m south and 30 m west to reach his uncle’s house, and the remaining leg of the journey brings the total distance walked to 100 m.

Q: Sundar runs 20 m towards East and turns to right and runs 10 m. Then he turns to the right and runs 9 m. Again he turns to right and runs 5 m. After this he turns to left and runs 12 m and finally he turns to right and 6 m. Now to which direction is Sundar facing?

Correct answer: NorthStarting eastward, each right turn swings him a quarter circle clockwise: east, then south, then west, then north. The left turn part-way through and the final right turn bring him back to facing north.

Q: Arun and Amit started walking from two different points 'A' and 'B' respectively.Arun walks 2 kms North and turns to the East and walks 3 kms and again turns to North walks 4 kms and finally turns to East and Walks 5kms to reach point 'C'. Similarly, Amit walks 2 kms North and turns to west and walks 3 kms and finally turns to North, walks 4 kms and meets Arun at point 'C'. What is the distance between Arun and Amit's starting points?

Correct answer: 11 kmWork backwards from the common point C. Arun’s legs are north 2, east 3, north 4, east 5, so relative to A he has moved 8 east and 6 north, meaning A lies 8 km west and 6 km south of C. Amit’s legs are north 2, west 3, north 4, so relative to B he has moved 3 west and 6 north, meaning B lies 3 km east and 6 km south of C. Both starting points are the same 6 km south of C, so the distance between them is purely east-west: \( 8+3 = 11 \) km.

Important Instructions

91.

The length and breadth of a room are 8 m and 6 m respectively. A cat runs along all the four walls and finally along a diagonal order to catch a rat. How much total distance is covered by the cat?

A.10
B.14
C.38
D.48

Answer: C

Correct answer: 38

Running along all four walls covers the perimeter, \( 2(8+6) = 28 \) m, and the diagonal is \[ \sqrt{8^2+6^2} = 10 \text{ m} \] so the cat covers \( 28 + 10 = \mathbf{38} \) metres in all.

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92.

Two cars start from the opposite places of a main road, 150 km apart. First car runs for 25 km and takes a right turn and then runs 15 km. It then turns left and then runs for another 25 km and then takes the direction back to reach the main road. In the mean time, due to minor break down the other car has run only 35 km along the main road. What would be the distance between two cars at this point?

A.65 km
B.75 km
C.80 km
D.85 km

Answer: A

Correct answer: 65 km

The two cars start 150 km apart and move towards each other. The first covers 25 km along the road, steps 15 km aside and back again after another 25 km, so it has advanced 50 km along the road; the second’s progress leaves the gap between them at 65 km.

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93.

Rahul put his timepiece on the table in such a way that at 6 P.M. hour hand points to North. In which direction the minute hand will point at 9.15 P.M. ?

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

Answer: D

Correct answer: West

At six o’clock the hour hand stands at the 6 on the dial, and that direction is north. At a quarter past nine the minute hand stands at the 3. Going round the dial from 6 to 3 is nine hour-marks, or \( 9 \times 30^\circ = 270^\circ \), which from north brings us to the west.

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94.

I am facing South. I turn right and walk 20 metre. Then I turn right again and walk 10 metre. Then I turn left and walk 10 metre and then turning right walk 20 metre. Then I turn right again and walk 60 metre. In which direction am I from the starting point ?

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

Answer: A

Correct answer: North-East

Facing south, a right turn brings me west. The legs then come to 20 + 10 = 30 west against 60 east, leaving 30 east, and 10 + 20 = 30 north. Being both east and north of the start, I am to its north-east.

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95.

Rasik walked 20 m towards north. Then he turned right and walks 30 m. Then he turns right and walks 35 m. Then he turns left and walks 15 m. Finally he turns left and walks 15 m. In which direction and how many metres is he from the starting position?

A.15 m West
B.30 m East
C.30 m West
D.45 m East

Answer: D

Correct answer: 45 m East

Adding the legs: north 20, then east 30, then south 35, then east 15, then north 15. The northward moves come to \( 20 - 35 + 15 = 0 \) and the eastward to \( 30 + 15 = 45 \). So he finishes 45 m east of his starting point.

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96.

I am facing south. I turn right and walk 20 m. Then I turn right again and walk 10m. Then I turn left and walk 10m and then turning right walk 20m. Then I turn right again and walk 60m. In which direction am I from the starting point?

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

Answer: C

Correct answer: North-East

Facing south, a right turn is to the west. Taking the start as the origin with east positive: west 20 gives \( (-20,0) \); the next right turn faces north, so 10 north gives \( (-20,10) \); a left turn faces west again, so 10 more gives \( (-30,10) \); a right turn faces north, so 20 gives \( (-30,30) \); and a final right turn faces east, so 60 gives \( (30,30) \). Both coordinates are positive, so he is north-east of the start.

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97.

A boy rode his bicycle Northward, then turned left and rode 1 km and again turned left and rode 2 km. He found himself 1 km west of his starting point. How far did he ride northward initially?

A.1 km
B.2 km
C.3 km
D.5 km

Answer: B

Correct answer: 2 km

After riding north he turns left to go 1 km west, then left again to go 2 km south. He ends 1 km west of the start, which is right - and for him to be level with it north to south, the 2 km south must exactly cancel the first leg. So he rode 2 km northward.

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98.

A child went 90 m in the East to look for his father, then he turned right and went 20 m. After this he turned right and after going 30 m he reached to his uncle's house. His father was not there. From there he went 100 m to his north and met his father. How far did he meet his father from the starting point?

A.80 m
B.100 m
C.140 m
D.260 m

Answer: B

Correct answer: 100 m

The child goes 90 m east, 20 m south and 30 m west to reach his uncle’s house, and the remaining leg of the journey brings the total distance walked to 100 m.

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99.

Sundar runs 20 m towards East and turns to right and runs 10 m. Then he turns to the right and runs 9 m. Again he turns to right and runs 5 m. After this he turns to left and runs 12 m and finally he turns to right and 6 m. Now to which direction is Sundar facing?

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

Answer: C

Correct answer: North

Starting eastward, each right turn swings him a quarter circle clockwise: east, then south, then west, then north. The left turn part-way through and the final right turn bring him back to facing north.

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100.

Arun and Amit started walking from two different points 'A' and 'B' respectively.Arun walks 2 kms North and turns to the East and walks 3 kms and again turns to North walks 4 kms and finally turns to East and Walks 5kms to reach point 'C'. Similarly, Amit walks 2 kms North and turns to west and walks 3 kms and finally turns to North, walks 4 kms and meets Arun at point 'C'. What is the distance between Arun and Amit's starting points?

A.5 km
B.8 km
C.11 km
D.13 km

Answer: C

Correct answer: 11 km

Work backwards from the common point C. Arun’s legs are north 2, east 3, north 4, east 5, so relative to A he has moved 8 east and 6 north, meaning A lies 8 km west and 6 km south of C. Amit’s legs are north 2, west 3, north 4, so relative to B he has moved 3 west and 6 north, meaning B lies 3 km east and 6 km south of C. Both starting points are the same 6 km south of C, so the distance between them is purely east-west: \( 8+3 = 11 \) km.

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