In
a cricket tournament organised by the ICC, a total of 15 teams participated.
Australia, as usual won the tournament by scoring the maximum number of
points. The tournament is organised as a single round robin tournament-where
each team plays with every other team exactly once. 3 points are awarded for a
win, 2 points are awarded for a tie/washed out match and 1 point is awarded for
a loss. Zimbabwe had the lowest score(in terms of points) at the end of the tournament. Zimbawe scored a total of 21 points.All the 15 national teams got a distinct score (in terms of points scored). It is also
known that at least one match played by the Australian team was tied/washed
out. Which of the following is always true for the Australian team?
In an increasing GP, the sum of the first and last term is 66, the product of the second and the last but one term is128, and sum of all terms is 126. How many terms are there in the progression?
probability of player a plays and team wins is 1/4, and that of player b plays and team wins is 1/2. when both plays it is 1/2. overall probability of the team winning is 3/4. what is the probability of winning when either a or b plays??
300 workers are set to build a dam. In 21 weeks they have done 60% of the work, but subsequent rains lasting 4 weeks washed away 25% of what they had done. The job is resumed by 200 workers. What is the additional time it will take to complete the work?
Two pipes A and B can separately fill a cistern in 10 min and 5 min respectively and a waste pipe C can carry off 5 litre per min. If all the pipes are opened when the cistern is full, it is emptied in 1 hour. What is the capacity of the cistern?