CAT 1996 — QA Question 27
Ratio, Proportion & VariationEasy
Out of two-thirds of the total number of basketball matches, a team has won 17 matches and lost 3 of them. What is the maximum number of matches that the team can lose and still win more than threefourths of the total number of matches, if it is true that no match can end in a tie?
Answer & solution
Correct answer: 4
4
- B
6
- C
5
- D
3
Solution
The team has played a total of (17 + 3) = 20 matches. This constitutes of the matches. Hence, total number of matches played = 30. To win of them, a team has to win 22.5, i.e. at least win 23 of them. In other words, the team has to win a minimum of 6 matches (since it has already won 17) out of remaining 10. So it can lose a maximum of 4 of them.