Games and Tournament for CAT Sheet 1
- Jul 10
- 4 min read
Practicse Question
Games and Tournament for CAT Case 1
Direction for questions 1-4: Answer the questions on the basis of the information given below:
Shonika and Smaraki are playing a game where they pick up coins alternately from the coins kept on a table. The rules of the game say that:
each person has to pick up at least one coin in her turn
no person can pick up more than six coins in each turn
The person who picks up the last coin from the table is the loser and the other person is the winner.
Assume that both Shonika and Smaraki play intelligently so as to win the game.
Q.1 If, at some stage of the game, there are 16 coins on the table, and it is Shonika’s turn to pick up the coins, how many coins should she pick to ensure her win irrespective of what Smaraki does in later steps?
a.1
b.2
c.3
d.4
Q.2 At one stage during the game, when there were 28 coins on the table and it was Smaraki’s turn, Smaraki had to leave to attend a phone call. Her sister Sonia who was watching the game volunteered to play for Smarika and picked up 2 coins. Is Sonia’s move correct to ensure a win for Smaraki?
a.Yes
c.She cannot win whatever she picks up when there are 28 coins
d.Data insufficient
Q.3 Some time during the game when it was Shonika’s turn, there were 38 coins on the table. Without Shonika realising it, Smaraki wanted to remove some coins from the table. How many coins should she remove to ensure her own win irrespective of what moves Shonika makes later?
a.4
b.3
c.2
d.1
Q.4 What is the least number of coins greater than 20 at the beginning of the game to ensure a win for Shonika if Smaraki makes the first move?
a.21
b.22
c.23
d.24
Games and Tournament for CAT Case 2
Direction for question 5-8: Answer the questions on the basis of the information given below:
Five players – A, B, C, D and E – participated in a tournament which had three matches – match I, match II and match III. Each of the five players played all the three matches. In the three figures below (one for each match, match I, match II and match III), the points scored by the three highest scoring players in each match are mentioned, along with the names of the players (given in brackets) and the central triangle in each figure represents total points scored by the three highest scoring players as a percentage of the total points scored by all the five players put together. No two players had the same number of points in a match and no player scored the same number of points in any two matches. At the end of the three matches, the performance of the players is evaluated using two indices along with the points they scored in the tournament. The Consistency index (K) of a player is the difference between the lowest and the highest points scored by him in the three matches and the Reliability index (R) of a player is the middle value when the scores of the player are arranged in an increasing order.
Note:The number of points scored by any player in any match is a non-negative integer.
Q.5 What is the minimum number of points scored by D in the tournament?
a.92
b.101
c.110
d.126
Q.6 For how many of the given players, is it possible to calculate the exact R index?
a.0
b.1
c.2
d.3
Q.7 At least how many players scored less than 135 points in all the three matches together?
a.1
b.2
c.3
d.4
Q.8 Which of the following could be the best value of K index (i.e., the least numerical value) for any player in the tournament?
a.12
b.7
c.9
d.5
Games and Tournament for CAT Case 3
Direction for question 9-12: Answer the questions on the basis of the information given below.
The following is the table of points drawn at the end of all the matches in a six-nation Hockey tournament, in which each country played with every other country exactly once. The table gives the positions of the countries in terms of their respective total points scored (i.e., in the decreasing order of their total points). Each win was worth three points, each draw one point, and there were no points for a loss. Some information in the table has been intentionally left out. The results of none of the individual matches are known, except that Pakistan beat India and no two teams finished with the same number of points.
Q.9 The total number of points won by India is .................... .
a.5
b.6
c.7
d.8
Q.10 The total number of goals scored in the match between Netherlands and Pakistan is .................... .
a.0
b.1
c.2
d.Cannot be determined
Q.11 Pakistan won the match against which of the following teams?
a.Australia
b.Netherlands
c.South Korea
d.Spain
Q.12 Which of the following matches was a draw?
a.India Vs South Korea
b.Spain Vs Netherlands
c.Netherlands Vs South Korea
d.Spain Vs South Korea
Games and Tournament for CAT Case 4
Direction for question 13-16: Answer the following question based on the information given below.
Four friends namely Mark, Niel, Oliver & Paul decided to play ‘Gully Cricket’ in which each one of them got to play exactly 24 balls. One can score either 0, 1, 2, 4 or 6 runs depending upon how far can he hit the ball with the bat. Every time a player is unable to make a contact of bat & ball, then a penalty of one run is deducted from the score of the player. There is no other way to score runs. None of them got dismissed during 24 balls. Following table gives the partial information about the scoring chart of these four players:
Q.13 Find the minimum possible score of Mark & Oliver combined.
a.6
b.5
c.22
d.23
Q.14 Paul scored the least possible runs in 24 balls. Also, Mark scored more than Paul. Find the maximum number of 0s hit by Mark.
a.11
b.12
c.13
d.14
Q.15 Find the maximum possible sum of runs scored by all the players combined if each one of them scored an even number of runs
a.204
b.262
c.274
d.288
Q.16 What can be the maximum possible score of Paul if it is known that his score was a prime number?
a.71
b.72
c.73
d.74
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