Topic : Direction Sense PYQ's 

 

 

 

 

 

 

 

 

 

 

Q1. The houses of A and B face each other on a road going north-south; A's being on the western side. A comes out of his house, turns left, travels 5 km, turns right, travels 5 km to the front of D's house. B does exactly the same and reaches the front of C's house. In this context, which one of the following statements is correct? [CSAT 2011]

(a) C and D live on the same street.

(b) C's house faces south.

(c) The houses of C and D are less than 20 km apart.

(d) None of the above

Solution:

Given that,

The houses of A and B face each other on a road going north-south; A's being on the western side.

A comes out of his house, turns left, travels 5 km, turns right, travels 5 km to the front of D's house. B does exactly the same and reaches the front of C's house.

Now,

The direction concluded :

Distance of CA

52 + 52 = CA2

CA2 = 50

DA2 = 50

CA + DA = CD

So, CD = 20 km

Distance between C and D less than 20 KM

Hence option (c) is correct

Q2. Location of B is north of A and location of C is east of A. The distances AB and AC are 5 km and 12 km respectively. The shortest distance (in km) between the locations B and C is [CSAT 2014]

(a) 60

(b) 13

(c) 17

(d) 7

Solution:

Given that,

Location of B is north of A and location of C is east of A.

The distances AB and AC are 5 km and 12 km respectively.

Now,

Shortest distance between B and C

122 + 52 = BC2

So,  BC = 13 km

Hence option (b) is correct

 

Q3. Consider the following statements: [CSAT 2014]

There are six villages A, B, C, D, E and F.

F is 1 km to the west of D.

B is 1 km to the east of E.

A is 2 km to the north of E.

C is 1 km to the east of A.

D is 1 km to the south of A.

Which three villages are in a line?

(a) A, C, B

(b) A, D, E

(c) C, B, F

(d) E, B, D

Solution:

Given that,

F is 1 km to the west of D.

B is 1 km to the east of E.

A is 2 km to the north of E.

C is 1 km to the east of A.

D is 1 km to the south of A.

Now,

Three villages A, D, E are on same line

Hence option (b) is correct

Q4. Shahid and Rohit start from the same point in opposite directions. After each 1 km, Shahid always turns left and Rohit always turns right. Which of the following statements is correct? [CSAT 2015]

(a) After both have travelled 2 km, the distance between them is 4 km.

(b) They meet after each has travelled 3 km.

(c) They meet for the first time after each has travelled 4 km.

(d) They go on without ever meeting again.

Solution:

Given that,

Shahid and Rohit start from the same point in opposite directions.

After each 1 km, Shahid always turns left and Rohit always turns right.

Now,

Shahid and Rohit both travels 3 km and then meet

Hence option (b) is correct

Q5. A person walks 12 km due north, then 15 km due east, after that 19 km due west and then 15 km due south. How far is the from the starting point? [CSAT 2016]

(a) 5 km

(b) 9 km

(c) 37 km

(d) 61 km

Solution:

Given that,

A person walks 12 km due north, then 15 km due east, after that 19 km due west and then 15 km due south.

Now,

Applying Pythagoras theorem

42 + 33 = SE2

So, SE = 5 km

Hence option (a) is correct

Q6. A person X was driving in a place where all roads ran either north-south or east-west, forming a grid Roads are at a distance of 1 km from each other in a parallel. He started at the intersection of two roads, drove 3 km north, 3 west and 4 km south which further route could bring him back to his starting point, if the same route is not repeated? [CSAT 2016]

(a) 3 km east, then 2 km south

(b) 3 km east, then 1 km north

(c) 1 km north, then 2 km west

(d) 3 km south, then 1 km north

Solution:

Given that,

A person X was driving in a place where all roads ran either north-south or east-west, forming a grid Roads are at a distance of 1 km from each other in a parallel.

He started at the intersection of two roads, drove 3 km north, 3 west and 4 km south

Same route is not repeated

Now,

Further route is 3km east ward and 1 km northward

Hence option (b) is correct

Q7. 'A' started from his house and walked 20 m towards East, where his friend 'B' joined him. They together walked 10 m in the same direction. Then 'A' turned left while 'B' turned right and travelled 2 m and 8 m respectively. Again 'B' turned left to travel 4 m followed by 5 m to his right to reach his office. 'A' turned right and travelled 12 m to reach his office. What is the shortest distance between the two offices? [CSAT 2019]

(a) 15 m

(b) 17 m

(c) 19 m

(d) 20 m

Solution:

Given that,

'A' started from his house and walked 20 m towards East, where his friend 'B' joined him.

They together walked 10 m in the same direction.

Then 'A' turned left while 'B' turned right and travelled 2 m and 8 m respectively.

Again 'B' turned left to travel 4 m followed by 5 m to his right to reach his office.

'A' turned right and travelled 12 m to reach his office.

Now,

Thus clearly shortest distance can be found by applying Pythagoras theorem

152 + 82 = AB2

AB = 17m

Hence option (b) is correct

Q8. P, Q and Rare three towns. The distance between P and Q is 60 km, whereas the distance between P and R is 80 km. Q is in the West of P and R is in the South of P. What is the distance between Q and R? [CSAT 2019)

(a) 140 km

(b) 130 km

(c) 110 km

(d) 100 km

Solution:

Given that,

P, Q and Rare three towns.

The distance between P and Q is 60 km,

The distance between P and R is 80 km.

Q is in the West of P and R is in the South of P.

Now,

(QR)2 = 602 + 802

So, QR = 100km

Hence option (d) is correct

Q9. A man walks down the backside of his house straight 25 meters, then turns to the right and walks 50 meters again; then he turns towards left and again walks 25 meters. If his house faces to the East, what is his direction from the starting point? [CSAT 2020]

(a) South-East

(b) South-West

(c) North-East

(d) North-West

Solution:

Given that,

A man walks down the backside of his house straight 25 meters, then turns to the right and walks 50 meters again; then he turns towards left and again walks 25 meters.

Now,

It can be clearly concluded from the diagram that the direction of starting point is North - West

Hence option (d) is correct

Q10. A woman runs 12 km towards her North, then 6 km towards her South and then 8 km towards her East. In which direction is she from her starting point? [CSAT 2021]

(a) An angle less than 45° South of East.

(b) An angle less than 45° North of East.

(c) An angle more than 45° South of East.

(d) An angle more than 45° North of East.

Solution:

Given that,

A woman runs 12 km towards her North, then 6 km towards her South and then 8 km towards her East.

Now,

As women travels more towards east the angle is less than 45 degrees and the direction between starting and end point is North east.

Hence option (b) is correct

Q11. A bank employee drives 10 km towards South from her house and turns to her left and drives another 20 km. She again turns left and drivers 40 km, and then she turns to her right and drives for another 5 km. She again turns to her right and drives another 30 km to reach her bank where she works. What is the shortest distance between her bank and her house? [CSAT 2021]

(a) 20 km

(b) 25 km

(c) 30 km

(d) 35 km

Solution:

Given that,

A bank employee drives 10 km towards South from her house and turns to her left and drives another 20 km.

She again turns left and drivers 40 km, and then she turns to her right and drives for another 5 km. She again turns to her right and drives another 30 km to reach her bank where she works.

Now,

As clearly it can be seen the shortest distance = 20 + 5 = 25 km

Hence option (b) is correct

Q12. Two friends X and Y start running and they run together for 50 m in the same direction and reach a point. X turns right and runs 60 m, while Y turns left and runs 40 m. Then X turns left and runs 50 m and stops, while Y turns right and runs 50 m and then stops. How far are the two friends from each other now? [CSAT 2022]

(a) 100 m

(b) 90 m

(c) 60 m

(d) 50 m

Solution:

Given that,

Two friends X and Y start running and they run together for 50 m in the same direction and reach a point.

X turns right and runs 60 m, while Y turns left and runs 40 m.

Then X turns left and runs 50 m and stops, while Y turns right and runs 50 m and then stops.

Now,

Thus, Distance between X and Y = 60 + 40 = 100 m

Hence option (a) is correct

Q13. A person walks 100 m straight from his house, turns left and walks 100 m, again turns left and walks 300 m, then turns right and walks 100 m to reach his office. In which direction does he walk initially from his house if his office is exactly in the North-East direction? [CSAT 2024]

(a) North-West

(b) West

(c) South

(d) South-West

Solution:

Given that,

A person walks 100 m straight from his house, turns left and walks 100 m, again turns left and walks 300 m, then turns right and walks 100 m to reach his office.

His office is exactly in the North-East direction

Now,


Thus from the given figure it can be concluded that the person initially walked in the south direction.

Hence option (c) is correct

Q14. A person walks 100 m Westward, then turns left and walks 100 m. He then takes 225" turn clockwise. In which direction is he walking now? [CSAT 2024]

(a) South-West

(b) South-East

(c) North-West

(d) North-East

olution:

Given that,

A person walks 100 m Westward, then turns left and walks 100 m.


He then takes 225° turn clockwise.

Thus from the given figure it can be concluded that the person is walking in North-east direction

Hence option (d) is correct

ANSWER KEY

1.      C 8.      D
2.      B 9.      D
3.      B 10.    B
4.      B 11.    B
5.      A 12.    A
6.      B 13.    C
7.      B 14.    D

 

 

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