Practice set - 6 || Logical reasoning || CAT 2021 || 08 May (App update required to attempt this test) for CAT & MBA Exams

Question 1

Direction: An International Football tournament consisted of four teams, namely France, Italy, Portugal and Spain. Each team played against every other team exactly once. If a match ended in a draw, both the teams were offered one point each. Otherwise the winning team in a match was offered 3 points and losing team was not offered any point.

The following table gives information about the performance of the teams in the tournament.

Additionally, the following points are known:

1. The match between Portugal and Spain was drawn with both the teams scoring 3 goals each.

2. Spain lost one match by a margin of 5 goals.

For how many matches, can the number of points scored by both the teams be uniquely determined?

Question 2

Direction: An International Football tournament consisted of four teams, namely France, Italy, Portugal and Spain. Each team played against every other team exactly once. If a match ended in a draw, both the teams were offered one point each. Otherwise the winning team in a match was offered 3 points and losing team was not offered any point.

The following table gives information about the performance of the teams in the tournament.

Additionally, the following points are known:

1. The match between Portugal and Spain was drawn with both the teams scoring 3 goals each.

2. Spain lost one match by a margin of 5 goals.

For how many matches, can the number of goals scored by both the teams be uniquely known?

Question 3

Direction: An International Football tournament consisted of four teams, namely France, Italy, Portugal and Spain. Each team played against every other team exactly once. If a match ended in a draw, both the teams were offered one point each. Otherwise the winning team in a match was offered 3 points and losing team was not offered any point.

The following table gives information about the performance of the teams in the tournament.

Additionally, the following points are known:

1. The match between Portugal and Spain was drawn with both the teams scoring 3 goals each.

2. Spain lost one match by a margin of 5 goals.

If Portugal scored 2 goals against Italy, how many goals did Italy score against Spain?

Question 4

Direction: An International Football tournament consisted of four teams, namely France, Italy, Portugal and Spain. Each team played against every other team exactly once. If a match ended in a draw, both the teams were offered one point each. Otherwise the winning team in a match was offered 3 points and losing team was not offered any point.

The following table gives information about the performance of the teams in the tournament.

Additionally, the following points are known:

1. The match between Portugal and Spain was drawn with both the teams scoring 3 goals each.

2. Spain lost one match by a margin of 5 goals.

What was the absolute difference of the number of goals scored by Portugal and France in a match against each other?

Question 5

Directions: Answer the questions on the basis of the information given below.

Coach John sat with the score cards of Indian players from the 3 games in a one-day cricket tournament where the same set of players played for India and all the major batsmen got out John summarized the batting performance through three diagrams, one for each game. In each diagram, the three outer triangles communicate the number of runs scored by three top scorers from India, where K, R,S, V, and Y represent Kaif (Rahul, Saurav, Virender, and Yuvraj respectively. The middle triangle in each diagram denotes the percentage of total score that was scored by the top three Indian scorers in that game. No two players score the same number of runs in the same game. John also calculated two batting indices for each player based on his scores in the tournament; the R-index of a batsman is the difference between his highest and lowest scores in the 3 games while the M-index is the middle number, if his scores are arranged in a non-increasing order.

$Description: I:\Work\All PYSP Papers\Backend Upload\UPSE\CAT\CAT-Paper-2004_files\image019.jpg$

How many players among those listed definitely scored less than Yuvraj in the tournament?

Question 6

Directions: Answer the questions on the basis of the information given below.

Coach John sat with the score cards of Indian players from the 3 games in a one-day cricket tournament where the same set of players played for India and all the major batsmen got out John summarized the batting performance through three diagrams, one for each game. In each diagram, the three outer triangles communicate the number of runs scored by three top scorers from India, where K, R,S, V, and Y represent Kaif (Rahul, Saurav, Virender, and Yuvraj respectively. The middle triangle in each diagram denotes the percentage of total score that was scored by the top three Indian scorers in that game. No two players score the same number of runs in the same game. John also calculated two batting indices for each player based on his scores in the tournament; the R-index of a batsman is the difference between his highest and lowest scores in the 3 games while the M-index is the middle number, if his scores are arranged in a non-increasing order.

$Description: I:\Work\All PYSP Papers\Backend Upload\UPSE\CAT\CAT-Paper-2004_files\image019.jpg$

Which of the players had the best M-index from the tournament?

Question 7

Directions: Answer the questions on the basis of the information given below.

Coach John sat with the score cards of Indian players from the 3 games in a one-day cricket tournament where the same set of players played for India and all the major batsmen got out John summarized the batting performance through three diagrams, one for each game. In each diagram, the three outer triangles communicate the number of runs scored by three top scorers from India, where K, R,S, V, and Y represent Kaif (Rahul, Saurav, Virender, and Yuvraj respectively. The middle triangle in each diagram denotes the percentage of total score that was scored by the top three Indian scorers in that game. No two players score the same number of runs in the same game. John also calculated two batting indices for each player based on his scores in the tournament; the R-index of a batsman is the difference between his highest and lowest scores in the 3 games while the M-index is the middle number, if his scores are arranged in a non-increasing order.

$Description: I:\Work\All PYSP Papers\Backend Upload\UPSE\CAT\CAT-Paper-2004_files\image019.jpg$

For how many Indian players is it possible to calculate the exact M-index?

Question 8

Directions: Answer the questions on the basis of the information given below.

Coach John sat with the score cards of Indian players from the 3 games in a one-day cricket tournament where the same set of players played for India and all the major batsmen got out John summarized the batting performance through three diagrams, one for each game. In each diagram, the three outer triangles communicate the number of runs scored by three top scorers from India, where K, R,S, V, and Y represent Kaif (Rahul, Saurav, Virender, and Yuvraj respectively. The middle triangle in each diagram denotes the percentage of total score that was scored by the top three Indian scorers in that game. No two players score the same number of runs in the same game. John also calculated two batting indices for each player based on his scores in the tournament; the R-index of a batsman is the difference between his highest and lowest scores in the 3 games while the M-index is the middle number, if his scores are arranged in a non-increasing order.

$Description: I:\Work\All PYSP Papers\Backend Upload\UPSE\CAT\CAT-Paper-2004_files\image019.jpg$

Among the players mentioned, who can have the lowest R-index from the tournament?