Eight friends: Ajit, Byomkesh, Gargi, Jayanta, Kikira, Manik, Prodosh and Tapesh are going to Delhi from Kolkata by a flight operated by Cheap Air. In the flight, sitting is arranged in $30$ rows, numbered $1$ to $30$, each consisting of $6$ seats, marked by letters $\text{A}$ to $\text{F}$ from left to right, respectively. Seats $\text{A}$ to $\text{C}$ are to the left of the aisle (the passage running from the front of the aircraft to the back), and seats $\text{D}$ to $\text{F}$ are to the right of the aisle. Seats $\text{A}$ and $\text{F}$ are by the windows and referred to as Window seats, $\text{C}$ and $\text{D}$ are by the aisle and are referred to as Aisle seats while $\text{B}$ and $\text{E}$ are referred to as Middle seats. Seats marked by consecutive letters are called consecutive seats (or seats next to each other). A seat number is a combination of the row number, followed by the letter indicating the position in the row e.g, $\text{1A}$ is the left window seat in the first row, while $\text{12E}$ is the right middle seat in the $12$th row.
Cheap Air charges Rs. $1000$ extra for any seats in Rows $1$, $12$ and $13$ as those have extra legroom. For Rows $\text{2-10}$, it charges Rs. $300$ extra for Window seats and Rs. $500$ extra for Aisle seats. For Rows $11$ and $14$ to $20$, it charges Rs. $200$ extra for Window seats and Rs. $400$ extra for Aisle seats. All other seats are available at no extra charge.
The following are known:
- The eight friends were seated in six different rows.
- They occupied $3$ Window seats, $4$ Aisle seats and $1$ Middle seat.
- Seven of them had to pay extra amounts, totaling to Rs. $4600$, for their choices of seat. One of them did not pay any additional amount for his/her choice of seat.
- Jayanta, Ajit and Byomkesh were sitting in seats marked by the same letter, in consecutive rows in increasing order of row numbers; but all of them paid different amounts for their choices of seat. One of these amounts may be zero.
- Gargi was sitting next to Kikira, and Manik was sitting next to Jayanta.
- Prodosh and Tapesh were sitting in seats marked by the same letter, in consecutive rows in increasing order of row numbers; but they paid different amounts for their choices of seat. One of these amounts may be zero.
In which row was Manik sitting?
- $10$
- $11$
- $12$
- $13$