Distance and Direction Reasoning Questions With Explanation

Q-11. Khan moves 8 km. from east to west direction, then he turns to his right and moves 2 km. again he turned to his right and moved 5 km. In which direction he is from his starting point?
(A) South-East
(B) North-West
(C) West
(D) North

View Answer and Solution 

Answer:  (B) North-West
Explanation: 

Q-12. A person starts from a point and moves 1km. towards the north direction, then he turns to his right and moves 3 km. again he turns to his right and walks 5 km. in which direction and how far it is from his starting point?
(A) 4 km North
(B) 5 km North-East
(C) 4 km East
(D) 5 km South-East

View Answer and Solution 

Answer: 5 km South-East 
Explanation:  

A Person Starting from O and ends to D point.
OC = AB = 3 km
CD = BD - BC = 5 - 1= 4 km
OD2= OC2 + CD2
= 32 + 42 = 25
OD2 = 25
so, OD = 5 km (Square root of 25)
Finally, he is 5 km in south-East direction from point O.

Q-13. A child is searching for his dad. He went 90 m straight in the East Before going to his right and he also went 20 meters before going to his right again to search for his dad at his mom’s place 30 meters from this point. his dad was not there. From there he went straight 100 meters to his North before meeting his dad in a street. Now how far is he from his starting point?
(A) 80 m
(B) 100 m
(C) 260 m
(D) 140 m

View Answer and Solution 

Answer:  (B) 100 m 
Explanation:  

Required distance = AF
AF= \sqrt{\left( 80 \right)^{2}+(60)^{2}}  
=  \sqrt{6400+3600} 
= 100 m

Q-14. Ashok wants to book a ticket to Madurai. He starts and covers 5 km to reach the booking office which is in the east of his house. From there he turns to the North towards the market by travelling 3 km. From there he turns left to his friend Sandeep’s house which is 5 km away. Now he has to reach his house. How much Distance he have to cover to reach his home?
(A) 8 km
(B) 3 km
(C) 5 km
(D) 6 km

View Answer and Solution 

Answer: (B) 3 km 
Explanation:  As shown in fig. Required distance = 3 km