CAT 2024 SLOT 1 - LRDI
Q1–10 of 22(COMMON INFORMATION FOR QUESTIONS 1 TO 4)
Six web surfers M, N, O, P, X, and Y each had 30 stars which they distributed among four bloggers A, B, C, and D. The number of stars received by A and B from the six web surfers is shown in the figure below.The following additional facts are known regarding the number of stars received by the bloggers from the surfers.
1. The numbers of stars received by the bloggers from the surfers were all multiples of 5 (including 0).
2. The total numbers of stars received by the bloggers were the same.
3. Each blogger received a different number of stars from M.
4. Two surfers gave all their stars to a single blogger.
5. D received more stars than C from Y.
Q. What was the total number of stars received by D?
Considering the data from the figure and the additional facts the following table is formed:
| A | B | C | D | TOTAL | |
| M | 10 | 0 | 30 | ||
| N | 25 | 0 | 30 | ||
| O | 0 | 0 | 30 | ||
| P | 5 | 25 | 30 | ||
| X | 0 | 0 | 30 | ||
| Y | 5 | 20 | 30 | ||
| TOTAL | 45 | 45 | 45 | 45 | 45 |
Each blogger received a different number of stars from M. M to {C, D} should be (5, 15) in some order.
Two surfers gave all their stars to a single blogger. O and X give 30 to C and D in some order.
Available options are as follows in any order.
M – {5, 15}
N – {5, 0}
Y – {5, 0}
D received more stars than C from Y. Also, the sum of stars of C and D from Y is 5. Therefore, D received 5 and C received 0 from Y.
D received 30 from O or X. He needs to get 15 more. Available options are as follows.
M – {5, 15}
N – {5, 0}
C should have got 30+15+0 and D should have got 30+5+5+5.
| A | B | C | D | TOTAL | |
| M | 10 | 0 | 15 | 5 | 30 |
| N | 25 | 0 | 0 | 5 | 30 |
| O | 0 | 0 | 0/30 | 30/0 | 30 |
| P | 5 | 25 | 0 | 0 | 30 |
| X | 0 | 0 | 30/0 | 0/30 | 30 |
| Y | 5 | 25 | 0 | 5 | 30 |
| TOTAL | 45 | 45 | 45 | 45 | 45 |
____________________________________________________________________________________________________
The question is " What was the total number of stars received by D? "
Solution: The total number of stars received by the bloggers are the same. The number of stars received by A is equal to 10+25+0+5+0+0+5= 45. So, for D also it is 45.
____________________________________________________________________________________________________
Hence, the answer is '45'
(COMMON INFORMATION FOR QUESTIONS 1 TO 4)
Six web surfers M, N, O, P, X, and Y each had 30 stars which they distributed among four bloggers A, B, C, and D. The number of stars received by A and B from the six web surfers is shown in the figure below.
The following additional facts are known regarding the number of stars received by the bloggers from the surfers.
1. The numbers of stars received by the bloggers from the surfers were all multiples of 5 (including 0).
2. The total numbers of stars received by the bloggers were the same.
3. Each blogger received a different number of stars from M.
4. Two surfers gave all their stars to a single blogger.
5. D received more stars than C from Y.
Q. What was the number of stars received by D from Y?
| A | B | C | D | TOTAL | |
| M | 10 | 0 | 30 | ||
| N | 25 | 0 | 30 | ||
| O | 0 | 0 | 30 | ||
| P | 5 | 25 | 30 | ||
| X | 0 | 0 | 30 | ||
| Y | 5 | 20 | 30 | ||
| TOTAL | 45 | 45 | 45 | 45 | 45 |
Each blogger received a different number of stars from M. M to {C, D} should be (5, 15) in some order.
Two surfers gave all their stars to a single blogger. O and X give 30 to C and D in some order.
Available options are as follows in any order.
M – {5, 15}
N – {5, 0}
Y – {5, 0}
D received more stars than C from Y. Also, the sum of stars of C and D from Y is 5. Therefore, D received 5 and C received 0 from Y.
D received 30 from O or X. He needs to get 15 more. Available options are as follows.
M – {5, 15}
N – {5, 0}
C should have got 30+15+0 and D should have got 30+5+5+5.
| A | B | C | D | TOTAL | |
| M | 10 | 0 | 15 | 5 | 30 |
| N | 25 | 0 | 0 | 5 | 30 |
| O | 0 | 0 | 0/30 | 30/0 | 30 |
| P | 5 | 25 | 0 | 0 | 30 |
| X | 0 | 0 | 30/0 | 0/30 | 30 |
| Y | 5 | 20 | 0 | 5 | 30 |
| TOTAL | 45 | 45 | 45 | 45 | 45 |
____________________________________________________________________________________________________
The question is " What was the number of stars received by D from Y? "
Solution: From the table, we deduce the number of stars received by D from Y is 5.
____________________________________________________________________________________________________
Hence, the answer is '5'
Choice A is the correct answer.
(COMMON INFORMATION FOR QUESTIONS 1 TO 4)
Six web surfers M, N, O, P, X, and Y each had 30 stars which they distributed among four bloggers A, B, C, and D. The number of stars received by A and B from the six web surfers is shown in the figure below.
The following additional facts are known regarding the number of stars received by the bloggers from the surfers.
1. The numbers of stars received by the bloggers from the surfers were all multiples of 5 (including 0).
2. The total numbers of stars received by the bloggers were the same.
3. Each blogger received a different number of stars from M.
4. Two surfers gave all their stars to a single blogger.
5. D received more stars than C from Y.
Q. How many surfers distributed their stars among exactly 2 bloggers?
| A | B | C | D | TOTAL | |
| M | 10 | 0 | 30 | ||
| N | 25 | 0 | 30 | ||
| O | 0 | 0 | 30 | ||
| P | 5 | 25 | 30 | ||
| X | 0 | 0 | 30 | ||
| Y | 5 | 20 | 30 | ||
| TOTAL | 45 | 45 | 45 | 45 | 45 |
Each blogger received a different number of stars from M. M to {C, D} should be (5, 15) in some order.
Two surfers gave all their stars to a single blogger. O and X give 30 to C and D in some order.
Available options are as follows in any order.
M – {5, 15}
N – {5, 0}
Y – {5, 0}
D received more stars than C from Y. Also, the sum of stars of C and D from Y is 5. Therefore, D received 5 and C received 0 from Y.
D received 30 from O or X. He needs to get 15 more. Available options are as follows.
M – {5, 15}
N – {5, 0}
C should have got 30+15+0 and D should have got 30+5+5+5.
| A | B | C | D | TOTAL | |
| M | 10 | 0 | 15 | 5 | 30 |
| N | 25 | 0 | 0 | 5 | 30 |
| O | 0 | 0 | 0/30 | 30/0 | 30 |
| P | 5 | 25 | 0 | 0 | 30 |
| X | 0 | 0 | 30/0 | 0/30 | 30 |
| Y | 5 | 20 | 0 | 5 | 30 |
| TOTAL | 45 | 45 | 45 | 45 | 45 |
____________________________________________________________________________________________________
(COMMON INFORMATION FOR QUESTION 1 TO 4)
Six web surfers M, N, O, P, X, and Y each had 30 stars which they distributed among four bloggers A, B, C, and D. The number of stars received by A and B from the six web surfers is shown in the figure below.
The following additional facts are known regarding the number of stars received by the bloggers from the surfers.
1. The numbers of stars received by the bloggers from the surfers were all multiples of 5 (including 0).
2. The total numbers of stars received by the bloggers were the same.
3. Each blogger received a different number of stars from M.
4. Two surfers gave all their stars to a single blogger.
5. D received more stars than C from Y.
Q. Which of the following can be determined with certainty?
1)The number of stars received by C from M
2) The number of stars received by D from O
| A | B | C | D | TOTAL | |
| M | 10 | 0 | 30 | ||
| N | 25 | 0 | 30 | ||
| O | 0 | 0 | 30 | ||
| P | 5 | 25 | 30 | ||
| X | 0 | 0 | 30 | ||
| Y | 5 | 20 | 30 | ||
| TOTAL | 45 | 45 | 45 | 45 | 45 |
Each blogger received a different number of stars from M. M to {C, D} should be (5, 15) in some order.
Two surfers gave all their stars to a single blogger. O and X give 30 to C and D in some order.
Available options are as follows in any order.
M – {5, 15}
N – {5, 0}
Y – {5, 0}
D received more stars than C from Y. Also, the sum of stars of C and D from Y is 5. Therefore, D received 5 and C received 0 from Y.
D received 30 from O or X. He needs to get 15 more. Available options are as follows.
M – {5, 15}
N – {5, 0}
C should have got 30+15+0 and D should have got 30+5+5+5.
| A | B | C | D | TOTAL | |
| M | 10 | 0 | 15 | 5 | 30 |
| N | 25 | 0 | 0 | 5 | 30 |
| O | 0 | 0 | 0/30 | 30/0 | 30 |
| P | 5 | 25 | 0 | 0 | 30 |
| X | 0 | 0 | 30/0 | 0/30 | 30 |
| Y | 5 | 20 | 0 | 5 | 30 |
| TOTAL | 45 | 45 | 45 | 45 | 45 |
____________________________________________________________________________________________________
The question is: Which of the following can be determined with certainty?
I. The number of stars received by C from M
II. The number of stars received by D from O
Solution: From the table, we can find that the number of stars received by C from M is 15. But the number of stars received by D from O cannot be found with certainty (since it can be either 0 or 30).
____________________________________________________________________________________________________
Hence, the answer is 'Only I'
Choice B is the correct answer.
(COMMON INFORMATION FOR QUESTIONS 5 TO 8)
The chart below provides complete information about the number of countries visited by Dheeraj, Samantha and Nitesh, in Asia, Europe and the rest of the world (ROW).
The following additional facts are known about the countries visited by them.
1. 32 countries were visited by at least one of them.
2. USA (in ROW) is the only country that was visited by all three of them.
3. China (in Asia) is the only country that was visited by both Dheeraj and Nitesh, but not by Samantha.
4. France (in Europe) is the only country outside Asia, which was visited by both Dheeraj and Samantha, but not by Nitesh.
5. Half of the countries visited by both Samantha and Nitesh are in Europe.
Q. How many countries in Asia were visited by at least one of Dheeraj, Samantha and Nitesh?
(COMMON INFORMATION FOR QUESTIONS 5 TO 8)
The chart below provides complete information about the number of countries visited by Dheeraj, Samantha and Nitesh, in Asia, Europe and the rest of the world (ROW).
The following additional facts are known about the countries visited by them.
1. 32 countries were visited by at least one of them.
2. USA (in ROW) is the only country that was visited by all three of them.
3. China (in Asia) is the only country that was visited by both Dheeraj and Nitesh, but not by Samantha.
4. France (in Europe) is the only country outside Asia, which was visited by both Dheeraj and Samantha, but not by Nitesh.
5. Half of the countries visited by both Samantha and Nitesh are in Europe.
Q. How many countries in Europe were visited only by Nitesh?
(COMMON INFORMATION FOR QUESTIONS 5 TO 8)
The chart below provides complete information about the number of countries visited by Dheeraj, Samantha and Nitesh, in Asia, Europe and the rest of the world (ROW).
The following additional facts are known about the countries visited by them.
1. 32 countries were visited by at least one of them.
2. USA (in ROW) is the only country that was visited by all three of them.
3. China (in Asia) is the only country that was visited by both Dheeraj and Nitesh, but not by Samantha.
4. France (in Europe) is the only country outside Asia, which was visited by both Dheeraj and Samantha, but not by Nitesh.
5. Half of the countries visited by both Samantha and Nitesh are in Europe.
Q. How many countries in the ROW were visited by both Nitesh and Samantha?
(COMMON INFORMATION FOR QUESTIONS 5 TO 8)
The chart below provides complete information about the number of countries visited by Dheeraj, Samantha and Nitesh, in Asia, Europe and the rest of the world (ROW).
The following additional facts are known about the countries visited by them.
1. 32 countries were visited by at least one of them.
2. USA (in ROW) is the only country that was visited by all three of them.
3. China (in Asia) is the only country that was visited by both Dheeraj and Nitesh, but not by Samantha.
4. France (in Europe) is the only country outside Asia, which was visited by both Dheeraj and Samantha, but not by Nitesh.
5. Half of the countries visited by both Samantha and Nitesh are in Europe.
Q. How many countries in Europe were visited by exactly one of Dheeraj, Samantha and Nitesh?
(COMMON INFORMATION FOR QUESTIONS 9 TO 13)
The game of QUIET is played between two teams. Six teams, numbered 1, 2, 3, 4, 5, and 6, play in a QUIET tournament. These teams are divided equally into two groups. In the tournament, each team plays every other team in the same group only once, and each team in the other group exactly twice. The tournament has several rounds, each of which consists of a few games. Every team plays exactly one game in each round.
The following additional facts are known about the schedule of games in the tournament.
1. Each team played against a team from the other group in Round 8.
2. In Round 4 and Round 7, the match-ups, that is the pair of teams playing against each other, were identical. In Round 5 and Round 8, the match-ups were identical.
3. Team 4 played Team 6 in both Round 1 and Round 2.
4. Team 1 played Team 5 ONLY once and that was in Round 2.
5. Team 3 played Team 4 in Round 3. Team 1 played Team 6 in Round 6.
6. In Round 8, Team 3 played Team 6, while Team 2 played Team 5.
Q. How many rounds were there in the tournament?
(COMMON INFORMATION FOR QUESTIONS 9 TO 13)
The game of QUIET is played between two teams. Six teams, numbered 1, 2, 3, 4, 5, and 6, play in a QUIET tournament. These teams are divided equally into two groups. In the tournament, each team plays every other team in the same group only once, and each team in the other group exactly twice. The tournament has several rounds, each of which consists of a few games. Every team plays exactly one game in each round.
The following additional facts are known about the schedule of games in the tournament.
1. Each team played against a team from the other group in Round 8.
2. In Round 4 and Round 7, the match-ups, that is the pair of teams playing against each other, were identical. In Round 5 and Round 8, the match-ups were identical.
3. Team 4 played Team 6 in both Round 1 and Round 2.
4. Team 1 played Team 5 ONLY once and that was in Round 2.
5. Team 3 played Team 4 in Round 3. Team 1 played Team 6 in Round 6.
6. In Round 8, Team 3 played Team 6, while Team 2 played Team 5.
Q. What is the number of the team that played Team 1 in Round 5?