MCQs' Direction Tests - Quantitative Aptitude for CA Foundation

Q1: Anil started walking 5 km towards North, then he turned left and walked 3 km. Again he turned left and walked 5 km. Then the total number of km he walked is
(a) 8 km
(b) 13 km
(c) 3 km
(d) 5 km
Ans: (b)

Sol:
Following the directions as given in the question, we get

Therefore, the total distance covered = 5 + 3 + 5 = 13                              

Q2: Raju started walking 10 km towards East from his home. He turned right and walked 5 km to reach his office. How far and in which direction is his school from his home?
(a) North-East
(b) North-West
(c) South-East
(d) South-West
Ans: (c)

Sol:
Following the directions as per the question, we get
Therefore, Raju’s school is at South-East direction from his home.

Q3: Rahim started from point X and walked straight 5 km East, then turned left and walked straight 2 km and again turned left and walked straight 7 km. In which direction is he from point X ?
(a) North-East
(b) South-West
(c) South-East
(d) North-West
Ans: (d)

Sol:
Following the directions as per the question, we get
Therefore, he is moving in the North-West direction from point X.

Q4: P, Q, R and S are playing a game of carom. P, R and S, Q are partners. S is to the right of R. If R is facing West, then Q is facing which direction?
(a) South
(b) North
(c) East
(d) West
Ans: (b)

Sol:
Given: P, Q, R and S are playing a game of carom
Since, R is facing West and P, R are partners, thus P is facing East. 
Now, S is to the right of R  i.e., S is facing South. 
Also, S, Q are partners.
Therefore, Q will be facing North direction.

Q5: Laxman went 15 km to the north, then he turned west and covered 10 km. Then he turned south and covered 5 km, finally turning to east he covered 5 km, finally turning to east he covered 10 km. In which direction he is moving now?
(a) East
(b) North
(c) West
(d) South
Ans: (a)

Sol:
According to the information given, the directions are: 
Therefore, Laxman is moving in the East direction now. 
Hence, the correct option is (a).

Q6: Manu wants to go to the market. He starts from his house towards east and walks 10 m reaching a crossing after 30 m. He turns towards east, goes 10 m in the second crossing and turns again, moves towards north and walks 15 m. How far is the market from his house?
(a) 10 m
(b) 20 m
(c) 30 m
(d) 40 m
Ans: (c)

Sol:
Following the directions as per the question, we get
Therefore, the market is in the East direction of  Manu’s house. Hence, the correct option is (c).

Q7: A man is facing east, then he turns left and goes 10 metres, then turns right and goes 5 metres, then goes 5 metres to the south and from there 5 metres to the west. In which direction is he from his original place?
(a) East
(b) West
(c) North
(d) South
Ans: (c)

Sol:
According to the information given, the directions are
Therefore, the man is in the North direction from his original place. 
Hence, the correct option is (c).

Q8: When a person faces north and walks 25 m right and turns left and walks 20 m and turns right and walks 40 m, then which direction is he now from his starting point?
(a) North-West
(b) North-East
(c) South-East
(d) South-West
Ans: (c)

Sol:
Following the directions as per the question, we get 

Therefore, she is in the South-East direction from her starting point. 
Hence, the correct option is (c)

Q9: Mr. X walks northwards. After a while, he turns to his right and a little further to his left. Finally, after walking 500 meters, he turns to his left again. In which direction is he moving now?
(a) North
(b) South
(c) East
(d) West
Ans: (d)

Sol:

Following the directions as per the given data, we get

Therefore, he is moving in the West direction 

Q10: A man is facing East, then he turns left and goes 10 m, then turns right and goes 5 m, then turns right and goes 10 m and then turns right again and goes 10 m to the West. In which direction is he from his original place?
(a) East
(b) West
(c) North
(d) South
Ans: (c)

Sol:
Given that, A man is facing towards East and moved 10 metres in the left direction from O to A (towards North). Then, he turned 5 metres from initial A towards the right. From B, he moved 5 metres in the South (right side). In last, he turned 5 metres to the West.
Thus, he is in the North direction from

Q11: Raju walked 20 m towards the North. Then she turned right and walks 30 m. Then she turned right and walks 35 m. Then she turns left and walks 15 m. Finally she turns left and walks 15 m. In which direction and how many metres is she from the starting position?
(a) 15 m West
(b) 30 m East
(c) 30 m West
(d) 45 m East
Ans: (d)

Sol:

Following the directions as per the question, we get

Therefore, the distance between the starting and the final point = 30 m + 15 m = 45 m East.

Q12: A and B start moving towards each other from two places apart. After walking 60 m, A turns left and goes 20 m, then he turns right and goes 40 m. He then turns right again and comes back to the road on which he had started walking. If A and B walk with the same speed, what is the distance between them now?
(a) 80 m
(b) 70 m
(c) 40 m
(d) 60 m
Ans: (c)

Sol:

Distance traveled by A on road = 60 + 20 + 40 + 20 = 140 m

Distance traveled by B on road = 60 + 40 = 100 m

Required difference = 140 – 100 = 40 m

Hence, option (c) is correct.

Q13. Kamal walks 10 km North, from there he walks 6 km towards South. Then he walks 3 km towards East. How far and in which direction is he with reference to starting point?
(a) 5 km North-East
(b) 5 km North-West
(c) 7 km North-East
(d) 5 km South-East
Ans: (c)

Sol:
Following the directions as per the question, we get
Therefore, the distance between the starting and ending point  =  5 km
 Hence, he is 5 km North-East with reference to starting point. 14. 

Q14: Shweta moved a distance of 75 m towards North. She then turned to her left and walked about 25 m, turned left again and walked 80 m. Finally she turned to the right at an angle of 45°. In which direction was she moving finally?
(a) South
(b) South-West
(c) North-East
(d) North-West
Ans: (b)

Sol:
Shweta started from A, moved 75 m up to B, turned left and walked 25 m up to C.

She turned left again and moved 80 m from C to D. Turning to the right at angle 45°, she was

finally moving in the direction DE i.e., North-West.

Hence, the correct option is (b).

Q15: Deepika starts walking straight towards East. After walking 65 m, she turns to the left and walks 25 m straight. Again she turns to the left and walks a distance of 40 m. At what distance and in which direction currently she is from the initial point?
(a) 35.35 m in North-East
(b) 35.35 m in South-West
(c) 25 m in North
(d) 25 m in West
Ans: (a)

Sol:
​Let A be the initial point from where Deepika

started to walk then

Following the directions as per question, we get

Deepika = 25 m

AE = 65 – 40 = 25m

In right angle ΔAED

Therefore, Deepika is at 35.35 m North-East direction from her initial point.

Q16: Mr. X walks 14 km towards north. From there he walks 8 km towards south. Then he walks 8 km towards the west. How far and in which direction is he with reference to his starting point?
(a) 10 km, North-West
(b) 10 km, West
(c) 7 km, East
(d) 7 km, West
Ans: (a)

Sol:
Following the directions as per question, we get

By using Pythagoras theorem 
In ΔACD

He is 10 km in direction of North-West.

Q17: Sunitha walked 30 m towards the east, took a right turn and walked 40 m, then she took a left turn and walked 30 m. In which direction is she now from the starting point?
(a) North-East
(b) East
(c) South-East
(d) South
Ans: (c)

Sol:

Let S be the starting point of Sunitha, then

Following the directions as per question, we get
Therefore, Sunitha is at the South-West position from her starting point.

Q18: It is 3 o’clock on a watch, if the minute hand points towards the North-East, then the hour hand will point towards the
(a) South
(b) South-West
(c) North-West
(d) South-East
Ans: (d)

Sol:
According to question, we have
At 3 o’clock, the angle between the minute and the hour hand is 90 degrees. Now, according to the question, the minute hand points towards the North-East. 
Therefore, when we move clockwise at an angle of 90 degrees, the hour hand will point towards the South-East direction. 
Hence, the correct option is (d). 

Q19: One morning after Sunrise, Vikram and Shailesh were standing in a lawn with their backs towards each other. Vikram’s shadow fell exactly towards left hand side. Which direction was Shailesh facing?
(a) South-West
(b) West
(c) South
(d) South-East
Ans: (c)

Sol:
 We know, Sun rises in the East.
It is given that “one morning after sunrise”, therefore, we will mark the Sun in the East direction in the below diagram.
When the Sun is in the East direction, shadow of an object falls in the West. 
It is given that Vikram’s shadow falls towards left hand side. 
This means Vikram’s left hand side should be West direction.
Therefore, Shailesh is facing the South direction.
Hence, the correct option is (c) i.e. South.

Q20: A person is facing towards the North. He moves 70° clockwise direction. Again he is moving 300° clockwise direction. Now, in which direction is he presently facing?
(a) North-West
(b) South-East
(c) North-East
(d) South-West
Ans: (c)

Sol:
Following the directions are per the question, we get
Therefore, he is presently facing the North-East direction.