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CAT 2025 Lesson : DILR: Jul '25 to Aug '25 - Live Solving - 06 Aug 2025
Read the following and answer the questions that follow
The game of Chango is a game where two people play against each other; one of them wins and the other loses, i.e., there are no drawn Chango games. 12 players participated in a Chango championship. They were divided into four groups: Group A consisted of Aruna, Azul, and Arif; Group B consisted of Brinda, Brij, and Biju; Group C consisted of Chitra, Chetan, and Chhavi; and Group D consisted of Dipen, Donna, and Deb.
Players within each group had a distinct rank going into the championship. The players were NOT listed necessarily according to their ranks. In the group stage of the game, the second and third ranked players play against each other, and the winner of that game plays against the first ranked player of the group. The winner of this second game is considered as the winner of the group and enters a semi-final.
The winners from Groups A and B play against each other in one semi-final, while the winners from Groups C and D play against each other in the other semi-final. The winners of the two semi-finals play against each other in the final to decide the winner of the championship.
It is known that:
1. Chitra did not win the championship.
2. Aruna did not play against Arif. Brij did not play against Brinda.
3. Aruna, Biju, Chitra, and Dipen played three games each, Azul and Chetan played two games each, and the remaining players played one game each.
1) Who among the following was DEFINITELY NOT ranked first in his/her group?
(1) Chitra
(2) Aruna
(3) Brij
(4) Dipen
2) Which of the following pairs must have played against each other in the championship?
(1) Deb, Donna
(2) Donna, Chetan
(3) Azul, Biju
(4) Chitra, Dipen
3) Who won the championship?
(1) Cannot be determined
(2) Brij
(3) Chitra
(4) Aruna
4) Who among the following did NOT play against Chitra in the championship?
(1) Dipen
(2) Biju
(3) Chetan
(4) Aruna
Read the following and answer the questions that follow
The figure above shows the schedule of four employees – Abani, Bahni, Danni and Tinni – whom Dhoni supervised in 2020. Altogether there were five projects which started and concluded in 2020 in which they were involved. For each of these projects and for each employee, the starting day was at the beginning of a month and the concluding day was the end of a month, and these are indicated by the left and right end points of the corresponding horizontal bars. The number within each bar indicates the percentage of assigned work completed by the employee for that project, as assessed by Dhoni.
For each employee, his/her total project-month (in 2020) is the sum of the number of months (s)he worked across the five project, while his/her annual completion index is the weightage average of the completion percentage assigned from the different projects, with the weights being the corresponding number of months (s)he worked in these projects. For each project, the total employee-month is the sum of the number of months four employees worked in this project, while its completion index is the weightage average of the completion percentage assigned for the employees who worked in this project, with the weights being the corresponding number of months they worked in this project.
5) Which of the following statements is/are true?
I: The total project-month was the same for the four employees.
II: The total employee-month was the same for the five projects.
(1) Only II
(2) Both I and II
(3) Only I
(4) Neither I nor II
6) Which employees did not work in multiple projects for any of the months in 2020?
(1) All four of them
(2) Only Abani and Bahni
(3) Only Abani, Bahni and Danni
(4) Only Tinni
7) The project duration, measured in terms of the number of months, is the time during which at least one employee worked in the project. Which of the following pairs of the projects had the same duration?
(1) Project 1, Project 5
(2) Project 3, Project 4
(3) Project 4, Project 5
(4) Project 3, Project 5
8) The list of employees in decreasing order of annual completion index is:
(1) Danni, Tinni, Bahni, Abani
(2) Bahni, Abani, Tinni, Danni
(3) Danni, Tinni, Abani, Bahni
(4) Tinni, Danni, Abani, Bahni
Read the following and answer the Questions that follow
The management of a university hockey team was evaluating performance of four women players - Amla, Bimla, Harita and Sarita for their possible selection in the university team for next year. For this purpose, the management was looking at the number of goals scored by them in the past 8 matches, numbered 1 through 8. The four players together had scored a total of 12 goals in these matches. In the 8 matches, each of them had scored at least one goal. No two players had scored the same total number of goals.
The following facts are known about the goals scored by these four players only. All the questions refer only to the goals scored by these four players.
1. Only one goal was scored in every even numbered match.
2. Harita scored more goals than Bimla.
3. The highest goal scorer scored goals in exactly 3 matches including Match 4 and Match 8.
4. Bimla scored a goal in Match 1 and one each in three other consecutive matches.
5. An equal number of goals were scored in Match 3 and Match 7, which was different from the number of goals scored in either Match 1 or Match 5.
6. The match in which the highest number of goals was scored was unique and it was not Match 5.
9) How many goals were scored in Match 7?
(1) Cannot be determined
(2) 3
(3) 1
(4) 2
10) Which of the following is the correct sequence of goals scored in matches 1, 3, 5 and 7?
(1) 4, 1, 2, 1
(2) 3, 2, 1, 2
(3) 3, 1, 2, 1
(4) 5, 1, 0, 1
11) Which of the following statement(s) is/are true?
Statement-1: Amla and Sarita never scored goals in the same match.
Statement-2: Harita and Sarita never scored goals in the same match.
(1) Statement-1 only
(2) Both the statements
(3) Statement-2 only
(4) None of the statements
12) Which of the following statement(s) is/are false?
Statement-1: In every match at least one player scored a goal.
Statement-2: No two players scored goals in the same number of matches.
(1) Statement-1 only
(2) None of the statements
(3) Both the statements
(4) Statement-2 only
13) If Harita scored goals in one more match as compared to Sarita, which of the following statement(s) is/are necessarily true?
Statement-1: Amla scored goals in consecutive matches.
Statement-2: Sarita scored goals in consecutive matches.
(1) Statement-1 only
(2) Both the statements
(3) None of the statements
(4) Statement-2 only
The game of Chango is a game where two people play against each other; one of them wins and the other loses, i.e., there are no drawn Chango games. 12 players participated in a Chango championship. They were divided into four groups: Group A consisted of Aruna, Azul, and Arif; Group B consisted of Brinda, Brij, and Biju; Group C consisted of Chitra, Chetan, and Chhavi; and Group D consisted of Dipen, Donna, and Deb.
Players within each group had a distinct rank going into the championship. The players were NOT listed necessarily according to their ranks. In the group stage of the game, the second and third ranked players play against each other, and the winner of that game plays against the first ranked player of the group. The winner of this second game is considered as the winner of the group and enters a semi-final.
The winners from Groups A and B play against each other in one semi-final, while the winners from Groups C and D play against each other in the other semi-final. The winners of the two semi-finals play against each other in the final to decide the winner of the championship.
It is known that:
1. Chitra did not win the championship.
2. Aruna did not play against Arif. Brij did not play against Brinda.
3. Aruna, Biju, Chitra, and Dipen played three games each, Azul and Chetan played two games each, and the remaining players played one game each.
1) Who among the following was DEFINITELY NOT ranked first in his/her group?
(1) Chitra
(2) Aruna
(3) Brij
(4) Dipen
2) Which of the following pairs must have played against each other in the championship?
(1) Deb, Donna
(2) Donna, Chetan
(3) Azul, Biju
(4) Chitra, Dipen
3) Who won the championship?
(1) Cannot be determined
(2) Brij
(3) Chitra
(4) Aruna
4) Who among the following did NOT play against Chitra in the championship?
(1) Dipen
(2) Biju
(3) Chetan
(4) Aruna
Read the following and answer the questions that follow
The figure above shows the schedule of four employees – Abani, Bahni, Danni and Tinni – whom Dhoni supervised in 2020. Altogether there were five projects which started and concluded in 2020 in which they were involved. For each of these projects and for each employee, the starting day was at the beginning of a month and the concluding day was the end of a month, and these are indicated by the left and right end points of the corresponding horizontal bars. The number within each bar indicates the percentage of assigned work completed by the employee for that project, as assessed by Dhoni.
For each employee, his/her total project-month (in 2020) is the sum of the number of months (s)he worked across the five project, while his/her annual completion index is the weightage average of the completion percentage assigned from the different projects, with the weights being the corresponding number of months (s)he worked in these projects. For each project, the total employee-month is the sum of the number of months four employees worked in this project, while its completion index is the weightage average of the completion percentage assigned for the employees who worked in this project, with the weights being the corresponding number of months they worked in this project.
5) Which of the following statements is/are true?
I: The total project-month was the same for the four employees.
II: The total employee-month was the same for the five projects.
(1) Only II
(2) Both I and II
(3) Only I
(4) Neither I nor II
6) Which employees did not work in multiple projects for any of the months in 2020?
(1) All four of them
(2) Only Abani and Bahni
(3) Only Abani, Bahni and Danni
(4) Only Tinni
7) The project duration, measured in terms of the number of months, is the time during which at least one employee worked in the project. Which of the following pairs of the projects had the same duration?
(1) Project 1, Project 5
(2) Project 3, Project 4
(3) Project 4, Project 5
(4) Project 3, Project 5
8) The list of employees in decreasing order of annual completion index is:
(1) Danni, Tinni, Bahni, Abani
(2) Bahni, Abani, Tinni, Danni
(3) Danni, Tinni, Abani, Bahni
(4) Tinni, Danni, Abani, Bahni
Read the following and answer the Questions that follow
The management of a university hockey team was evaluating performance of four women players - Amla, Bimla, Harita and Sarita for their possible selection in the university team for next year. For this purpose, the management was looking at the number of goals scored by them in the past 8 matches, numbered 1 through 8. The four players together had scored a total of 12 goals in these matches. In the 8 matches, each of them had scored at least one goal. No two players had scored the same total number of goals.
The following facts are known about the goals scored by these four players only. All the questions refer only to the goals scored by these four players.
1. Only one goal was scored in every even numbered match.
2. Harita scored more goals than Bimla.
3. The highest goal scorer scored goals in exactly 3 matches including Match 4 and Match 8.
4. Bimla scored a goal in Match 1 and one each in three other consecutive matches.
5. An equal number of goals were scored in Match 3 and Match 7, which was different from the number of goals scored in either Match 1 or Match 5.
6. The match in which the highest number of goals was scored was unique and it was not Match 5.
9) How many goals were scored in Match 7?
(1) Cannot be determined
(2) 3
(3) 1
(4) 2
10) Which of the following is the correct sequence of goals scored in matches 1, 3, 5 and 7?
(1) 4, 1, 2, 1
(2) 3, 2, 1, 2
(3) 3, 1, 2, 1
(4) 5, 1, 0, 1
11) Which of the following statement(s) is/are true?
Statement-1: Amla and Sarita never scored goals in the same match.
Statement-2: Harita and Sarita never scored goals in the same match.
(1) Statement-1 only
(2) Both the statements
(3) Statement-2 only
(4) None of the statements
12) Which of the following statement(s) is/are false?
Statement-1: In every match at least one player scored a goal.
Statement-2: No two players scored goals in the same number of matches.
(1) Statement-1 only
(2) None of the statements
(3) Both the statements
(4) Statement-2 only
13) If Harita scored goals in one more match as compared to Sarita, which of the following statement(s) is/are necessarily true?
Statement-1: Amla scored goals in consecutive matches.
Statement-2: Sarita scored goals in consecutive matches.
(1) Statement-1 only
(2) Both the statements
(3) None of the statements
(4) Statement-2 only
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