1. The front door of Kiran’s house is towards the south. From the backside of her house she
walks 50 metres straight then turns towards the left and walks 100 metres and after that turns
right and stops after walking 100 metres. Now Kiran is facing which direction?
a) East
b) South
c) West
d) North
Explanation: Since her house faces towards the south, when she starts from the back side of her house she would go 50 metres north. After this when she turns left, she would be going west and when she again turns right she would be facing the north again. Hence, Option (d) is the correct answer.
2. A boy starts walking straight towards the north and walks 10 feet, then he turns to his left and
walks 5 feet, then he turns to his left and walks another 5 feet, then again he turns to his left
and walks 10 feet and then he turns to his right and walks 2 feet. How far is he now from his
starting point?
a) 5 feet
b) 2 feet
c) \[\sqrt{34}\] feet
d) 7 feet
Explanation:
From the figure, he starts at A goes through B C D E F and his final distance from A is given by the distance A = \[\sqrt{(5)^{2} + (3)^{2}} = \sqrt{34}\]
Hence, Option (c) is the correct answer
3. A policeman goes 20 km east and then turning to the south he goes 30 km and then again turns
to his left and goes 10 km. How far is he from his starting point?
a) 30 km
b) 20 km
c) 10 km
d) 40 km
Explanation:
Distance AD = \[\sqrt{1800} = 30\sqrt{2}\]
Hence, Option (c) is the correct answer.
4. I walk 1 km to my east then I turn to the south and walk for 5 km. Next, I turn east and walk 2
km. After this I turn to the north and walk for 9 km. How far am I from my starting point?
a) 5 km
b) 4 km
c) 6 km
d) Can’t be determined
Explanation:
d(AE) = \[\sqrt{(3)^{2} + (4)^{2}} \] = 5 km
Hence, Option (a) is the correct answer
5. A man walks 5 metres straight and then 10 meters to the right. After this he continuously turns
left and every time walks 10, 5 and 10 meters respectively. How far is he now from his
starting point?
a) \[5\sqrt{3}\] metres
b) \[3\sqrt{5}\] metres
c) \[5\sqrt{2}\] metres
d) 10 metres
Explanation:
If A is the starting point:
The required distance is seen on AF = \[\sqrt{50} = 5\sqrt{2}\]
Hence, Option (c) is the correct answer.
6. Karan’s house is south facing. From the front door of his house Karan started walking and
after walking 20 metres straight he turned to his left and walked 50 metres. After this he
turned to his right and walked 80 metres. Find the distance between the point from where he
finished his walk and the door of his house.
a) \[50\sqrt{5}\] metres
b) \[5\sqrt{50}\] metres
c) 100 metres
d) 120 metres
Explanation:
d/AD = \[\sqrt{50^{2} + 100^{2}}\]
\[\sqrt{12500} = 50\sqrt{5}\] metres
Hence, Option (a) is the correct answer.
7. A man started walking towards north, he walks 10 metres and then turns to his right, walks 5
metres and turns to his right again and walks 10 metres and turns to his left, walks 7 metres
and then turns to his right. At this point in which direction is he facing?
a) East
b) South
c) Southeast
d) Southwest
Explanation:
Starting from A he would be at E and facing South. Hence, Option (b) is the correct answer
8. If Southeast becomes east and Northwest becomes west and all the other directions are
changed in the same direction. Then what will be the direction for north?
a) Northwest
b) Southeast
c) Southwest
d) Northeast
Explanation:
From this figure it is clear that there has to be a 45° counter clockwise rotation. Hence, Northwould become northwest. Hence, Option (a) is the correct answer
9.If Northwest becomes south and southwest becomes east and all the other directions change in
the similar manner, then what will be the direction for north?
a) Southeast
b) Northeast
c) North
d) None of these
Explanation: Similar to the above question it would be southwest. Hence, Option (d) is the correct answer
10. At a crossing there was a direction pole, which was showing all the four directions in correct
manner. But due to wind it turns in such a manner that now west pointer is showing South. A
man went to the wrong direction thinking that he was traveling East. In what direction he was
actually traveling?
a) South
b) West
c) North
d) Can’t say
Explanation:
There is a 90° counter clockwise shift. If the person follows the east pointer, he would actually be going North. Hence, Option (c) is the correct answer.