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Twelve people Parag, Qasim, Ruma, Sumit, Tamay, Umesh, Vinay, Wasim, Xavier, Yusuf, Kamal and Lalit are sitting around a rectangular table. The following information is known

The table has 12 chairs numbered from 1 to 12. 6 seats on one side of the table and 6 on the opposite side. The chairs are arranged in such a way that chair number 1 is just opposite to 12, 6 is opposite to 7 and so on

Parag is sitting opposite to Kamal who is the only person sitting between Ruma and Yusuf. Tamay is sitting opposite to Xavier who is the only person sitting between Qasim and Lalit. Umesh, sitting at chair number 1, is diagonally opposite to Ruma who is sitting opposite to Sumit.

If Vinay is sitting opposite to Umesh then who is sitting opposite to Wasim?

The world cup tournament is arranged as per the following rules:

In the beginning 16 teams enter and are divided into 2 groups of 8 teams each, where the team in any group plays exactly once with all the teams in the same group. At the end of this round top four teams from each group advance to the next round in which two teams play each other and the losing team goes out of the tournament. The winner in the first round gains one point from the win and the loser gets zero. In case of tie on a position there is a complex rule to decide the position.

The minimum number of matches that a team must win in order to qualify for the second round is ______.

The world cup tournament is arranged as per the following rules:

In the beginning 16 teams enter and are divided into 2 groups of 8 teams each, where the team in any group plays exactly once with all the teams in the same group. At the end of this round top four teams from each group advance to the next round in which two teams play each other and the losing team goes out of the tournament. The winner in the first round gains one point from the win and the loser gets zero. In case of tie on a position there is a complex rule to decide the position.

The maximum number of matches that team going out of the tournament in the first round itself can win is ______.

Direction for questions: Answer the questions on the basis of the information given below.

The world cup tournament is arranged as per the following rules:

In the beginning 16 teams enter and are divided into 2 groups of 8 teams each, where the team in any group plays exactly once with all the teams in the same group. At the end of this round top four teams from each group advance to the next round in which two teams play each other and the losing team goes out of the tournament. The winner in the first round gains one point from the win and the loser gets zero. In case of tie on a position there is a complex rule to decide the position.

What is the total number of matches played in the tournament?

Natural gas once extracted from a source is purified for commercial use at natural gas plants. From gas plants it is pumped to various destinations through pipelines. There are pumping stations, at intermediate places to maintain recommended pressure in the pipelines. The pumping stations do not produce or process any natural gas. They pump out exactly the quantity they receive from plants or other pumping stations.

The following figure depicts a network gas pipelines. The circles denote the locations of gas plants, pumping stations or cities with big demand for natural gas. One location can be only one of these there. The numbers on the arrows are the capacities (in appropriate units) of the pipeline that carry gas in the direction of the arrow. Currently the demand supply situation is such that the capacity utilization of the pipelines is very close to 100 percent.

What is the maximum quantity of natural gas that can be transported that can be transported from M to Q?

Natural gas once extracted from a source is purified for commercial use at natural gas plants. From gas plants it is pumped to various destinations through pipelines. There are pumping stations, at intermediate places to maintain recommended pressure in the pipelines. The pumping stations do not produce or process any natural gas. They pump out exactly the quantity they receive from plants or other pumping stations.

The following figure depicts a network gas pipelines. The circles denote the locations of gas plants, pumping stations or cities with big demand for natural gas. One location can be only one of these there. The numbers on the arrows are the capacities (in appropriate units) of the pipeline that carry gas in the direction of the arrow. Currently the demand supply situation is such that the capacity utilization of the pipelines is very close to 100 percent.

What is the maximum quantity of natural gas than can be transported from M to R?