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CAT 2025 Lesson : DILR: Mar '25 to Apr '25 - Teams & Events - 02 Apr 2025
Live Class: Teams & Events
Read the following and answer the questions that follow
The 6 teams mentioned in the table below participated in a hockey league, wherein, every team played every other team exactly once. A team gets 3 points if it wins a game, 1 point if it draws a game and 0 points if it loses a game. The table below provides the total points scored, total goals scored by the team (GF) and total goals scored against the team (GA) in the league. GA for Australia is not known. Denmark beat Australia 3 - 1 and scoreline for two of the games that Canada won was 2 - 0.
1) What is the product of the number of drawn games in the league and the total number of goals scored against Australia?
Answer:
2) Which of the following was the scoreline of one of the games?
(1) 5 - 1
(2) 5 - 2
(3) 6 - 1
(4) 6 - 2
3) Which team(s) had the maximum Goal Difference in a game (Goal Difference = GF - GA)?
(1) Denmark
(2) Denmark and Canada
(3) Denmark and Germany
(4) Australia
4) In how many games was exactly one goal scored?
Answer:
Details for Questions 5 to 10 are provided below
The Hi-Lo game is a four-player game played in six rounds. In every round, each player chooses to bid Hi or Lo. The bids are made simultaneously. If all four bid Hi, then all four lose 1 point each. If three players bid Hi and one bids Lo, then the players bidding Hi gain 1 point each and the player bidding Lo loses 3 points. If two players bid Hi and two bid Lo, then the players bidding Hi gain 2 points each and the players bidding Lo lose 2 points each. If one player bids Hi and three bid Lo, then the player bidding Hi gains 3 points and the players bidding Lo lose 1 point each. If all four bid Lo, then all four gain 1 point each.
Four players Arun, Bankim, Charu, and Dipak played the Hi-Lo game. The following facts are known about their game:
1. At the end of three rounds, Arun had scored 6 points, Dipak had scored 2 points, Bankim and Charu had scored -2 points each.
2. At the end of six rounds, Arun had scored 7 points, Bankim and Dipak had scored -1 point each, and Charu had scored -5 points.
3. Dipak’s score in the third round was less than his score in the first round but was more than his score in the second round.
4. In exactly two out of the six rounds, Arun was the only player who bid Hi.
[CAT 2020 Shift 3]
5) What were the bids by Arun, Bankim, Charu and Dipak, respectively in the first round?
(1) Hi, Lo, Lo, Hi
(2) Hi, Lo, Lo, Lo
(3) Hi, Hi, Lo, Lo
(4) Lo, Lo, Lo, Hi
6) In how many rounds did Arun bid Hi?
Answer:
7) In how many rounds did Bankim bid Lo?
Answer:
8) In how many rounds did all four players make identical bids?
Answer:
9) In how many rounds did Dipak gain exactly 1 point?
Answer:
10) In which of the following rounds, was Arun DEFINITELY the only player to bid Hi?
(1) Fourth
(2) First
(3) Third
(4) Second
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