🍒 Games and Tournaments for CAT Exam Logical Reasoning – Part 2 | Handa Ka Funda - Online Coaching for CAT and Banking Exams
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The first thing that as a CAT taker you need to realize is that such tournament based format offers the examiner a multitude of options.
So, there cannot be a set formula for solving such kind of questions.
However, if you look at the CAT papers of past few years — a pattern seems to emerge.
Let us discuss couple of them.
Type 1: The questions are typically in a set where the data will be either in the standard tabular format or a format which you would never find on Cricinfo or for that matter any other ESPN website.
An example of this would be: Each diagram communicates the number of games tournaments questions cat scored by the three top scores from India, where K, R, S, V, and Y represent Kaif, Rahul, Saurav, Virender, and Yuvraj respectively.
The % in each diagram denotes the percentage of total score that was scored by the top three Indian scorers in that game.
I will not get into the detail of solving this particular set.
Once you interpret the information, the questions are really simple.
The something games tournaments questions cat exact in this question this type of questions is to interpret the given data.
Let us look at this information in a different way: Pakistan South Africa Australia Runs by Kaif 28 51 Runs by Rahul 49 55 Runs by Saurav 75 50 Runs by Virender 130 Runs by Yuvraj 40 87 Runs by Top 3 Top 3 as a %age of total 90% 70% 80% Total runs As you can see, the triangular format is no different from providing the same information to the games tournaments questions cat in a table.
It is just a little more intimidating in a pressure situation — and that intimidation is exactly what you should avoid.
With some very simple addition and calculation you will be solve this problem set.
Bottom line: Even if it takes a couple of minutes, it is best to represent information in a format that you are games tournaments questions cat with.
Type 2: For some reason, Tennis appears to be a favorite among exam setters.
Actually Tennis does offer some very interesting possibilities — such as seeds, an unconventional scoring and the knockout feature.
Knockouts are inherent in the sport of Tennis and hence used frequently by exam setters.
Note : In a knockout tournament, No.
In the first round the highest seeded player plays the lowest seeded player, the second highest seeded player plays the second lowest seeded player and so on.
To put it into perspective: Round 1 — Match 1 — Seed 1 Vs Seed n Round 1 — Match 2 — Seed 2 Vs Seed n-1 Round 1 — Match 3 — Seed 3 Vs Seed n-2.
The questions are typically of the format: Ques: Who will play match 36 in Round 1?
Ans: It will be played between the 36 th highest seed and the 36 th lowest seed.
The 36 th lowest seed can be sometimes difficult to figure out but you can figure it out easily by calculating n+1 — 36.
Ans: One way games tournaments questions cat solving this question would be figuring out the winners of Round 1 and then figuring out the 5 th from the top and the bottom.
If there is no upset, then seed 5 will be there.
We first need to analyze which round would be the quarterfinal: Round 1 32 matchesRound 2 16 matchesRound 3 8 matches — pre-quarterRound 4 4 matches — quarterfinals.
In Round 4 quarterfinalsSeed 37 would meet the player that Seed 5 would have met.
Hence, Seed 37 will meet Seed 4 in the quarterfinals.
As a matter of fact, even the above solution is not the most optimal one.
Because once you realize that Seed 37 defeated Seed 5, he would keep meeting the opponents that Seed 5 would have met.
I think I have taken enough of your time with this lengthy post but this time would be well spent if such a question appears in CAT or some other management entrance exam.
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In keeping with the football spirit, I’m going to use the format of the FIFA World Cup as an example to show you how to calculate the total number of matches/games played in a tournament. There are two cases that we need to consider: 1. The league stage – where every team plays every other team in a group 2.
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In Logical Reasoning very often we encounter problems based on games of tournaments. The first thing that as a CAT taker you need to realize is that such tournament based format offers the examiner a multitude of options. So, there cannot be a set formula for solving such kind of questions. However, if you look at the CAT papers of past few years – a pattern seems to emerge. Let us discuss couple of them. Type 1:
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Games and Tournaments for CAT Exam Logical Reasoning — Part 2 Handa Ka Funda - Online Coaching for CAT and Banking Exams » » Games and Tournaments for CAT Exam Logical Reasoning — Part 2 Games and Tournaments for CAT Exam Logical Reasoning — Part 2 Tuesday, May 29th, 2018 In my previous post onwe discussed about two of the popular types of questions when it comes to games and tournament questions.So, if you are looking for questions on new types of data representation or questions based on seeding in a tennis tournament, probably you should read that.
In such tournaments, all competitors play a fixed number of matches.
Then an overall ranking is decided by total points or average points per match.
Let us look at a question from CAT 2000.
The tournament was conducted in two stages.
In the first stage, the teams are divided into two groups.
Each group consists of eight teams, with each team playing every other team in its group exactly once.
At the end of first stage, the top four teams from each group advance to the second stage while the rest are eliminated.
The second stage comprised several rounds.
A round involves one match for each team.
The winner of a match in a round advances to the next round, while the loser is eliminated.
The team that remains undefeated in the second stage is declared the winner and claims the Gold Cup.
The tournament rules such that each match results in a winner and a loser with no possibility of a tie.
In the first stage, a team earns one point for each win and no points for a loss.
At the end of the first stage, teams in each group are ranked on the basis of total points to determine the qualifiers advancing to the next stage.
Ties are resolved by a series of complex tie-breaking rules so that exactly four teams form each group advanced games tournaments questions cat the next stage.
In first stage, teams are divided into two groups of 8 teams each.
There they play a match against everyone exactly one ie 8C2 matches in every group.
In second stage, there are 8 teams in a knockout stage.
To guarantee games tournaments questions cat, it can have 3 teams with the same or more points.
There can be 5 teams with 5 wins or 5 points.
So, 5 wins is not good enough to ensure a birth in round 2.
However, 6 wins will guarantee its advance.
This also tells us that a team might have 5 wins but still not advance.
Their individual score is 2 points each and one of these five teams will advance to second stage.
So, minimum wins required to advance is 2.
Let us look at another type of question in which we are given a table and we have to fill it.
Given below is a random table at the end of games tournaments questions cat tournament.
For each win two points games tournaments questions cat awarded and for a draw one point was given.
We also know that the South Africa — Spain match was a draw.
Figure out the result of every match from the table given below: Team Name Played Won Draw Lost Points India 0 6 Pakistan 6 Australia 3 Spain 3 South Africa Each team has played 4 matches.
A team can get a score of 6 in two ways: 3 Wins and 1 loss or 2 wins and 2 draws.
India did not lose, so it will have 2 wins and 2 draws whereas on the other hand Pakistan will have 3 wins No.
South Africa has the left-over points which is 2.
We also know that the South Africa — Spain match was a draw.
So, now our table looks like this: Team Name Played Won Draw Lost Points India 4 games tournaments questions cat 2 0 6 Pakistan 4 3 0 1 6 Australia 4 3 Spain 4 Min 1 3 South Africa 4 Min 1 2 2 Points can be achieved by 1 Win, 0 Draw, 3 Loss OR 2 Draw, 2 Loss.
As Australia has won more matches, it will get the 1 Win, 1 Draw, 2 Loss.
Our final table will look like this: Team Name Played Won Draw Lost Points India 4 2 2 0 6 Pakistan 4 3 0 1 6 Australia 4 1 1 2 3 Spain 4 0 3 1 3 South Africa 4 0 2 2 2 Now, let us try and analyze the match results for the 10 matches in no special order : Pakistan has won 3 and lost 1.
Pakistan cannot win against India as India did not lose a match.
Spain has lost against Pakistan and it needs to draw all other matches.
It cannot win against India as India has no losses.
So, it must have lost against India and the win must have come against the remaining team ie South Africa.
The winner will have more wins than any other team in the tournament.
At the end of the first stage, no team eliminated from the tournament will have more games tournaments questions cat than any of the teams qualifying click to see more the second stage.
It is possible that the winner will have the same number of wins in the entire tournament as a team eliminated at the end of the first stage.
The number of teams with exactly one win in the 2nd stage of the tournament is 4.
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Play Tournament quizzes on Sporcle, the world's largest quiz community. There's a Tournament quiz for everyone.. Tournament Trivia Quizzes and Games.
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In a set on knockout tournaments based questions for CAT 2016, probably the easiest question will be the one that asks you how many matches would be played in the tournament. The simple answer to the question is (n-1). So, if there are say 8 teams in a knockout tournament, it will require 7 matches for us to determine the winner.
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This list represents the top 100 games in esports with the most prize money based on information published on the internet. Sources include news articles, forum posts, live report threads, interviews, official statements, reliable databases, VODs and other publicly-accessable sources that preserve "historical" information.
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There are 200 teams participating in a knockout tournament where they form groups & play against each other.So in round 1 there will be 100 teams,resulting in 100 winners.Round 2 will then have 50 each in a group and so on.If there are an odd numbers in any rounds,which is selected at random and granted a bye.The tournament continues till a winner is decided.No match ends in a draw.(old cat question)
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In Logical Reasoning, very often we encounter problems based on games or tournaments. The first thing that as a CAT taker you need to realize is that the tournament-based format of questions.
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So in round 1 there will be 100 teams,resulting in 100 winners.
Round 2 will then have 50 each in a group and so on.
If there are an odd numbers in any rounds,which is selected at random and granted a bye.
The tournament continues till a winner is decided.
No match ends in a draw.
The concept behind this logic is - To decide winner rest of teams have to lose thier matches.
In our question there are 200 teams,to decide winner 199 teams must lose their matches.
There are 8 teams in IPL.
Each team plays with games tournaments questions cat team twice.
Winning team gets 2 points,losing team gets 0 points each match.
No match ends with drawn or tie.
Top 4 team advanced to semifinal.
Then winning team of semifinal play against each other in final.
In a match winning team 2 points,losing team 0 points.
Each team play against every other team twice.
So top 3 had no problems at all for reaching there.
One team will be there who will win all 14 matches.
Second team will be the one who will lose only by top 1 team.
Third team will be the one games tournaments questions cat will lose by top 2 teams.
So a team can reach into semifinal by just 8 points 4 wins only.
So 3 teams will be there who can never qualify for semifinal.
So even 20 points not enough to predict to be in semi final.
To get into semifinal only 4 win enough.
In an Indian institute of management league,4 football teams are going to play against each other once.
After some matches have been played a table was being made to display the result of those matches.
However much of information of in the table games tournaments questions cat accidentally erased,as shown below.
It is known that teams are awarded 2 points for a win,0 points for loss,1 points for drawn.
Team played won drawn lost Goals for Goals conceded points IIM A 4 4 IIM B 5 2 5 IIM C 0 4 2 IIM k 0 3 0 Q.
What was the score of match between IIM A and IIM B?
What was the score of match between IIM B and IIM C?
What was the score of match between IIM A and IIM K?
Firstly we need to find no of goals for IIM C.
Here given IIM B have 5 points.
Any team can play maximum 3 matches here cause number of teams are 4.
Every team have to play exactly match against each other.
In table it is shown that IIM C had won 0 matches,but it have 2 points.
It means IIM C have played 2 drawn.
It is cleared that match IIM C and IIM B was drawn,and own second drawn match IIM C had played with IIM A.
If IIM C would have been played against IIM K then obviously either IIM K or IIM C could games tournaments questions cat points,but IIM K had 0 points.
For IIM A it is clear that that won lost against IIM B and played a drwn against IIM C.
In such case it no of goals were more than no of goals for,but clearly given data of IIM A is 4-4.
It means IIM A defeated IIM K.
In a sport event, 6 teams A,B,C,D,E,F are competing each other.
Matches are scheduled in two stage.
No team play against the same team more than once in the event.
No ties are permitted in any of the match.
Stage 1 One team won all the 3 matches.
Two teams lost all the matches.
B lost atleast one match.
F did not play against top teams of stage 1.
Stage 2 The leader of stage 1 lost the next two matches.
Of the two teams of the bottom team of stage 1,one team won both matches,while the other lost both matches.
One more team lost both matches in stage 2.
The only team s that won both matches in stage 2 1.
The teams that won exactly two matches in the events are 1.
In addition,given B lost atleast onematch.
So A is the only team who won all 3 matches.
F did not play against A.
Now results can be further matches :- 1.
The tournament starts on monday,finishes on Wednesday and an equal number of matches is played on all the three days.
Note :- None of the matches end in a draw.
Who wins the highest number of matches in the tournament?
Who wins more than one match on Monday?
Popat,an avid chess buff,watched all the matches of the tournament except the ones that took place on Monday.
How many times did he see either B or D winning a match?
On how many days during the tournament does at least one player win more than two matches?
Every team has won distinct matches.
So no of wins lies from 0 - 6.
continue reading :- F lost his all matches.
It means B beats A.
D won against C,E,F.
E lost by A,C,D,B,G.
No of win in tournament.
A 2 won,1 lost 3.
Given below data is indicating the individual scores of 10 players of two different basketball teams in single match between them.
Each had 5 players and all the scoring shots carried either two or three points.
The team scoring the maximum points won.
Players scored for their teams only.
Player - points A - 15 B - 17 C - 23 D - 18 E - 13 F - 16 G - 19 H - 24 I - 15 J - 20 The difference between the lowest and the highest individual scores in both the teams in the same.
The highest individual scores from the teams had the same number of scoring shots.
C was another player in his team to score 8 points in 4 shots.
What is difference between the total 2 pointers and 3 pointers shots scored by both the teams together?
Who had the highest ratio of points scored to number of scoring shots?
Difference of 3 pointers of both teams in every case is 6.
A - All balls 10 are talls 5.
C - Some dolls 5 are balls 5.
Option d is the answer.
In keeping with the football spirit, I’m going to use the format of the FIFA World Cup as an example to show you how to calculate the total number of matches/games played in a tournament. There are two cases that we need to consider: 1. The league stage – where every team plays every other team in a group 2.
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Games and Tournaments for CAT. Logical Reasoning and Data Interpretation (LRDI) is the most dreaded section in the CAT exam. This is because, in the last two editions of the CAT this section has been the toughest nut to crack for the aspirants. If you analyze the CAT Previous papers, it is clear that Games and Tournaments for CAT is one of the most important concepts in LRDI.
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Sometimes a tabular format is given with some blank cells in it, and by observing the table and from the given scenario we have to first fill games tournaments questions cat the missing values in the table and then we have to solve the questions.But the most common questions from this chapter are the ones we are covering below.
Importance of topicThese types of questions are asked in CAT and other such high level exams.
So take a break from that question and then approach these questions again afresh.
Also, in case of "Bye" system this logic is true.
For example, If there are 10 teams in a knock-out tournament then there should be 9 i.
Each team has to play a match with each other teams exactly once then it is also a Round-Robin type of tournament.
Terms to remember Seeds A seed is a competitor or a team in sports or other tournament who is given a preliminary ranking for the purposes of the draw.
Rank Player Name Country 1 Andy Murray Great Britain 2 Novak Djokovic Serbia 3 Milos Raonic Canada 4 Stan Wawrinka Switzerland 5 Kei Nishikori Japan 6 Gael Monfils France If we take real life example, we can see that Andy Murray is the top ranked player, Novak Djokovic is the second ranked player, and so on.
So, in first round of a link, top ranked player is paired with last one, second ranked player is paired with second last one, till we reach to the middle two players.
Now, in second round, winner of the top most and winner of the bottom most are paired, and this process is continued till top 2 players can be paired for a match.
Upsets An upset occurs in a competition, frequently in electoral politics or sports, when the party popularly expected to win the favoriteis defeated by an underdog whom the majority expects to lose, defying the conventional wisdom.
The underdog then games tournaments questions cat a giant-killer.
In 16 players tournament match fixtures will be like this.
In above diagram, we can see that 11 won against 6 in round of 16.
So upset occurred at that point.
This tournament has three knockout rounds before the final, i.
Thus, for instance, match No.
In the second round, the winner of match No.
Similarly, the winner of match No.
Thus, games tournaments questions cat instance, match No.
The same pattern is followed for later rounds as well.
Seed Number Team Name 1 Australia 2 India 3 South-Africa 4 Sri Lanka 5 Pakistan 6 England 7 West Indies 8 New Zealand 9 Bangladesh 10 Zimbabwe 11 Kenya 12 Netherlands 13 Afghanistan 14 UAE 15 Bermuda 16 Scotland Questions i If there are games tournaments questions cat upsets in the first round, and only match Nos.
So, answer is Australia.
So, they must have won all the preceding rounds.
So, from above diagram we can see that Bangladesh played games tournaments questions cat Australia in second round.
And there are no upsets in second round.
So, from that in semi-finals South-Africa Seed no.
B Round-Robin Tournament There are two key points for this type of question: 1.
If we are finding maximum number or points for a team then start distribution of the point from bottom to top.
If we are finding minimum number or points for a team then start distribution of the point from top to bottom.
We will see above cases in following example.
Questions There are 16 teams and they are divided into 2 groups of 8 each.
Each team in a group plays games tournaments questions cat one another on a round-robin basis.
Two points are awarded for a win, one point for a tie and zero for a loss.
The top four teams from each group will qualify for the next round i.
In Round 2, each team of one group will play with each team of group two.
At the end of the second round, the top four teams in terms of the points scored advance to the semi finals and the winners of the semi finals play the finals.
In case of teams having the same number of wins, the team with better run-rate would be ranked ahead.
Note: Write down all the key points which are mentioned in the questions.
Like, Total 16 teams Two group - Each group having 8 teams.
Questions can be asked in this type of tournament based scenario: i What is the total number of matches played in the tournament?
In given question we have to find out "Least number of points" that means minimum number of points.
SO we will have to start point distribution from Top to Bottom.
Now we are left with 20 points i.
Now remaining 5 teams have lost 3 matches with top teams.
So, they are left with 4 matches with others.
We will distribute remaining points equally to them i.
So, remaining 5 teams will now have 4 - 4 points and here run rate checking scenario occurs.
Team number Points 1 14 2 12 3 10 4 4 5 4 6 4 7 4 8 4 So, minimum or least 4 Points are required for getting into second round.
We will make a group of Bottom 3 teams and another of Top 5 teams.
So, they will have total 3 matches left for winning.
Those 3 teams will play against each other Total 6 points they can have.
We will distribute those points equally between them.
Team number Points 1?
So, remaining 50 points i.
So, answer is 10.
So, to reach in final, Team has to win only one match.
So, answer is 1.
So, in this scenario team will play total 12 matches before final.
In first round, 7 Matches Match with each team in the group.
In second round, 4 matches Match with each team of another group which enters in second round.
In Semi-Final, one match.
In a set on knockout tournaments based questions for CAT 2016, probably the easiest question will be the one that asks you how many matches would be played in the tournament. The simple answer to the question is (n-1). So, if there are say 8 teams in a knockout tournament, it will require 7 matches for us to determine the winner.
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