Directions: Study the following questions carefully and answer the questions given below.
1
Ananya goes to the departmental store, which is to the North of her house, 6 km away by an auto. After the shopping she decides to visit her friend Ayushi, Hence turns to the right and reaches her friend’s house which is 8 km away. From there she visits a shop which is 6 km away, taking a right turn. Finally, she turns to the right and phones up to the house to send the car.

How far is Ananya from her house?
» Explain it
D

We can clearly observe that Ananya is 8 km to the east from her house. 

Hence, option D is correct.


2
Ananya goes to the departmental store, which is to the North of her house, 6 km away by an auto. After the shopping she decides to visit her friend Ayushi, Hence turns to the right and reaches her friend’s house which is 8 km away. From there she visits a shop which is 6 km away, taking a right turn. Finally, she turns to the right and phones up to the house to send the car.

In what direction should the driver take the car to pick up Ananya to bring her back?
» Explain it
B

We can clearly observe that driver should take the car to the east to bring her back.

Hence, option B is correct.
3
Virendra’s house is 30 m to the left of the Shani Dev Temple, which is 40 m to the north of the Church. One day, Virendra takes the road which is parallel to the temple-Church road and walks for 50 m before turning to his right. He further walks for 20 m and reaches the Gym.

What is difference between the straight distance between Virendra’s house to Church and Shani Dev Temple to Gym?
» Explain it
A


Applying the Pythagoras theorem, we get

Distance between the house and the church = 302 + 402

= 900 + 1600  

= 2500

= 50 m

Now, the distance between the temple and the gym = 502 + 502

= 50 2 m

Therefore, the required difference = 50 ( 2 - 1) = 50 x 0.414

= 20.7 m

Clearly, option A is the correct answer.
 
4
Virendra’s house is 30 m to the left of the Shani Dev Temple, which is 40 m to the north of the Church. One day, Virendra takes the road which is parallel to the temple-Church road and walks for 50 m before turning to his right. He further walks for 20 m and reaches the Gym.

 
If Virendra reaches the church taking the temple-church road and then turns 45 degrees thrice in the clock-wise direction, which direction would he be facing?
» Explain it
B


From the final figure we can deduce the fact that Virendra must be facing his house.

Option B is hence the correct answer.

5
Anandi walks 24 m east from point A and reaches point B. From point B she takes left turn and walks 8 m and then she takes right turn and  walked 12 m and again she takes right turn and walks 14 m and again takes right turn and reaches point M. If it is given that the starting point is in north from point where she ends her journey, then what is the distance between the points A and M?
» Explain it
D
From the final figure, it's clear that the distance between the points A and M is 6 m.



Option D is hence the correct answer.