In a cricket team tournament 16 teams participated. A sum of Rs 8000 is to be awarded among themselves as prize money. If the last place team is awarded Rs 275 in prize money and the award increases by the same amount for successive finishing places, how much amount will the first place team receive?

In a cricket tournament 16 school teams participated. A sum of ₹ 1600 is to be awarded among themselves as prize money. If the team in the last place is awarded ₹ 500 in prize money and the award increases by the same amount for successive finishing places, how much amount will the team in the first place receive ?

Two schools P and Q want to award their selected students on the values of Discipline, politeness and punctuality. The school P wants to awards Rs. x each, Rs. y each and Rs. z each for the three respective values to its 3, 2 and 1 students with a total award money of Rs. 1000. School Q wants to spend Rs 1500 to award its 4, l and 3 students on the respective values (by giving the same award money for the three values before) If the total amount of awards for one prize on each value is Rs. 600, using matrices, find the award money for each value. Apart from the above three values suggest one more value for awards.

A school decided to award prizes to the most punctual and the most obedient student. The sum of the two prizes is Rs 150 and their product is Rs 5600. Find the prize money for punctuality and obedience.

Two schools P and Q want to award their selected students on the values of sincerity, truthfulness and hard work at the rate of Rs x, Rs y and Rs z for each respective value per person. The school P awards its 2,3 and 4 students on the above respective values with a total prize money of Rs 4,600. School Q wants to to award its 3, 2 and 3 students on the respective values with a total award money of Rs 4,100. If the total amount of award money for one prize on each value is Rs 1,500, using matrices, find the award money for each value. Suggest one other value which the school can consider for awarding the students .

Two schools P and Q want to award their selected students on the values of Tolerance, Kindness and Leadership. The school P wants to award Rs. x each, Rs. y each and Rs. z each for the three respective values to 3, 2 and 1 students respectively with a total award money of Rs. 2,200. School Q wants to spend Rs. 3,100 to award its 4, 1 and 3 students on the respective values (by giving the same award money to the three values as school P). If the total amount of award for one prize on each value is Rs. 1,200, using matrices, find the award money for each value. Apart from these three values, suggest one more value which should be considered for award.

Study the given information carefully and answer the following questions. There was a football tournament of three teams i.e. A, B and C in which each team played 2 matches. Score pattern of the tournament is: • A team gets 2 points for scoring a goal against the opponent team. • A team gets 3 points for scoring a goal against the opponent team from the outside area. • There is a penalty of 1 point if a team concedes a goal. • Only three players from each team scored the goals. A – B Match: B is the winner of this game. Total points scored by B in this match is 4 . Also, team A scored 2 goals and none of the players scored the goal from the outside area. A – C Match: C scored 0 points in the match. Only one player from team A scored a goal from outside area. A scored 4 points in this match. B – C Match: B gets 6 points from match. Team C scored 1 goal more than Team B. One player from team B scored a goal from outside area but none from team C. The given 3 teams are ranked on the basis of total marks in such a way that the highest scoring team is ranked 1, the second highest scoring team is ranked 2 and the least scoring team is ranked 3. Rank 3 got a total of Rs. 60,000 as prize money. If the ratio of the prize money of the rank 1, rank 2 and rank 3 team is 8 : 5 : 3, which of the following combinations of team and prize money is correct?

A sum of money placed at compound interest doubles itself in 6 years. In how many years will it amount to 16 times itself?