Out of 85 football players, 42 have scored a goal and 54 have received a yellow card. if 5 players did not do either,what fraction of the players scored a goal and received a yellow card as well?

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. What is the maximum possible sum of the total number of goals scored by those players of all three teams, who score more than one goal in a tournament?

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. Find the ratio between the number of goals sored by team B in its match against team C to the number of goals scored by team A in its match against team C

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. .In the tournament, total points scored by team B is what percent more than total points scored by team A?

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. Find the total number of goals scored by team A and team B together in the tournament.

Kristin received a CD player for her birthday. She bought 3 CDs and received 5 others as gifts.What fraction of her total CDs did she buy and what fraction did she receive as gifts?

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?

The drawings below (Fig. 5.37), show angles formed by the goalposts at different positions of a football player. The greater the angle, the better chance the player has of scoring a goal. For example, the player has a better chance of scoring a goal from Position A than from Position B. In Parts (a) and (b) given below it may help to trace the diagrams and draw and measure angles. (a) Seven football players are practicing their kicks. They are lined up in a straight line in front of the goalpost [Fig.(ii)]. Which player has the best (the greatest) kicking angle? (b) Now the players are lined up as shown in Fig. (iii). Which player has the best kicking angle? (c) Estimate atleast two situations such that the angles formed by different positions of two players are complement to each other.