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Six friends Madav, Arjun, Shankar, Sanvi, Ramya and Shruthi went on a vacation to a hill station. They are to be accommodated in a row of nine cottages, each in one cottage. Madav, Sanvi and Shruthi do not want to stay at the end of the row. Shankar and Madav must not have anybody adjacent to their cottages. There shall be only one empty cottage between Madav’s and Shruthi’s. Arjun’s cottage is adjacent to both Ramya’s and Shruthi’s. Sanvi is to be in the cottage next to the cottage at the beginning. Then what is the maximum number of consecutive cottages that are occupied?

Six friends Madav, Arjun, Shankar, Sanvi, Ramya and Shruthi went on a vacation to a hill station. They are to be accommodated in a row of nine cottages, each in one cottage. Madav, Sanvi and Shruthi do not want to stay at the end of the row. Shankar and Madav must not have anybody adjacent to their cottages. There shall be only one empty cottage between Madav’s and Shruthi’s. Arjun’s cottage is adjacent to both Ramya’s and Shruthi’s. Sanvi is to be in the cottage next to the cottage at the beginning. Then what is the maximum number of consecutive cottages that are occupied? Correct Answer 4

1. Six friends Madav, Arjun, Shankar, Sanvi, Ramya and Shruthi went on a vacation to a hill station.

2. They are to be accommodated in a row of nine cottages, each in one cottage. Madav, Sanvi and Shruthi do not want to stay at the end of the row.

Cottage

1

2

3

4

5

6

7

8

9

Person

Madav, Sanvi and Shruthi

 

 

 

 

 

 

 

Madav, Sanvi and Shruthi


3. Sanvi is to be in the cottage next to the cottage at the beginning.

Cottage

1

2

3

4

5

6

7

8

9

Person

Madav, Sanvi and Shruthi

Sanvi

 

 

 

 

 

 

Madav, Sanvi and Shruthi


4. There shall be only one empty cottage between Madav’s and Shruthi’s.

5. Arjun’s cottage is adjacent to both Ramya’s and Shruthi’s.

Case

Cottage

1

2

3

4

5

6

7

8

9

I

Person

Madav, Sanvi and Shruthi

Sanvi

 

Ramya

Arjun

Shruti

 

Madav

Madav, Sanvi and Shruthi

II

Person

Madav, Sanvi and Shruthi

Sanvi

Ramya

Arjun

Shruti

 

Madav

 

Madav, Sanvi and Shruthi


6. Shankar and Madav must not have anybody adjacent to their cottages.

If we put Shankar at any of the positions in Case I, the above statement will be violated.

So, it is eliminated.

Case

Cottage

1

2

3

4

5

6

7

8

9

II

Person

Madav, Sanvi and Shruthi

Sanvi

Ramya

Arjun

Shruti

 

Madav

 

Shankar

Madav, Sanvi and Shruthi


So, the maximum number of consecutive cottages that are occupied is 4.

Hence, ‘4’ is the correct answer.

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