Directions: Read the following information carefully and answer the questions given beside.
 
Six children are playing Hide & Seek in a park and were standing at different positions such that P is 9 m towards the north of T. Q is 4 m to the west of O, who is 12m to the east of T. U is 6 m to the south of Q. R is 3 m to the north of O. Then few of them moved and their new positions are denoted by adding ( ` ) to their respective names. P moved 5m towards east. O moved 3 m towards the east. Q moved 5 m towards the north.
1
What is the shortest distance between T and U?
» Explain it
C
The shortest distance between T and U using Pythagoras theorem is 10m.

Hence option C is correct.
 

Common Explanation:

Reference:         

Six children are playing Hide & Seek in a park and were standing at different positions such that P is 9m towards the north of T. Q is 4m to the west of O, who is 12m to the east of T.

Inference:

On the basis of the given hints, following image can be prepared.
 

Reference:

U is 6m to the south of Q. R is 3m to the north of O.

Inference:

Following image can be prepared as per the given hints.


Reference:

Then few of them moved and their new positions are denoted by adding ` to their respective names. P moved 5m towards east. O moved 3m towards the east. Q moved 5m towards the north.

Inference:

The above hints can be used in the following manner.
 

 
2
Find the distance between Q and O`?
» Explain it
A
The distance between Q and O` is 7m.

Hence option A is correct.

Common Explanation:

Reference:          

Six children are playing Hide & Seek in a park and were standing at different positions such that P is 9m towards the north of T. Q is 4m to the west of O, who is 12m to the east of T.

Inference:

On the basis of the given hints, following image can be prepared.
 

Reference:

U is 6m to the south of Q. R is 3m to the north of O.

Inference:

Following image can be prepared as per the given hints.


Reference:

Then few of them moved and their new positions are denoted by adding ` to their respective names. P moved 5m towards east. O moved 3m towards the east. Q moved 5m towards the north.

Inference:

The above hints can be used in the following manner.
 

3
Who among the following is in north-east of U?

I. P
II. O
III. R
» Explain it
B
Only O and R are towards the north-east of U.

Hence option B is correct.

Common Explanation:

Reference:          

Six children are playing Hide & Seek in a park and were standing at different positions such that P is 9m towards the north of T. Q is 4m to the west of O, who is 12m to the east of T.

Inference:

On the basis of the given hints, following image can be prepared.
 

Reference:

U is 6m to the south of Q. R is 3m to the north of O.

Inference:

Following image can be prepared as per the given hints.


Reference:

Then few of them moved and their new positions are denoted by adding ` to their respective names. P moved 5m towards east. O moved 3m towards the east. Q moved 5m towards the north.

Inference:

The above hints can be used in the following manner.
 

4
T is in which direction and how much far from O`?
» Explain it
D
T is 15m towards west of O`.

Hence option D is correct.
 
Common Explanation:

Reference:          

Six children are playing Hide & Seek in a park and were standing at different positions such that P is 9m towards the north of T. Q is 4m to the west of O, who is 12m to the east of T.

Inference:

On the basis of the given hints, following image can be prepared.
 

 
Reference:

U is 6m to the south of Q. R is 3m to the north of O.

Inference:

Following image can be prepared as per the given hints.


Reference:

Then few of them moved and their new positions are denoted by adding ` to their respective names. P moved 5m towards east. O moved 3m towards the east. Q moved 5m towards the north.

Inference:

The above hints can be used in the following manner.
 

» Explain it
B
Q is in south-east of P`.

Hence option B is correct.

Common Explanation:

Reference:          

Six children are playing Hide & Seek in a park and were standing at different positions such that P is 9m towards the north of T. Q is 4m to the west of O, who is 12m to the east of T.

Inference:

On the basis of the given hints, following image can be prepared.
 

 
Reference:

U is 6m to the south of Q. R is 3m to the north of O.

Inference:

Following image can be prepared as per the given hints.


Reference:

Then few of them moved and their new positions are denoted by adding ` to their respective names. P moved 5m towards east. O moved 3m towards the east. Q moved 5m towards the north.

Inference:

The above hints can be used in the following manner.