CAT — Time Scheduling
15 questions, free to view. Click any question to see the answer and explanation.
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.
How many rounds were there in the tournament?
Step 1:
There are two groups, each consisting of three teams.
Within each group, every team plays the other two teams once. In addition, each team plays every team from the other group exactly twice.
Hence, the number of matches played by each team is:
= 2 × 1 + 3 × 2 = 8
Since there are six teams in total, the total number of matches played is:
= (8 × 6)/2 = 24
Step 2:
From condition (3), Teams 4 and 6 belong to different groups.
From condition (4), Teams 1 and 5 are placed in the same group.
Conditions (5) and (6) allow several fixtures to be filled immediately.
Condition (1) states that Team 1 faced Team 4 in Round 8.
Therefore, the groups must be:
- Group 1: Teams (4, 2, 3)
- Group 2: Teams (6, 1, 5)
Using condition (2), Rounds 5 and 8 have identical fixtures.
The schedule at this stage is:
- Round 1: 4 vs 6
- Round 2: 4 vs 6, 1 vs 5
- Round 3: 3 vs 4
- Round 5: 3 vs 6, 2 vs 5, 1 vs 4
- Round 6: 1 vs 6
- Round 8: 3 vs 6, 2 vs 5, 1 vs 4
Step 3:
Applying condition (2) once again, Rounds 4 and 7 are also identical.
The complete schedule is therefore:
- Round 1: 4 vs 6, 1 vs 2, 3 vs 5
- Round 2: 4 vs 6, 1 vs 5, 2 vs 3
- Round 3: 3 vs 4, 1 vs 2, 5 vs 6
- Round 4: 4 vs 5, 2 vs 6, 1 vs 3
- Round 5: 3 vs 6, 2 vs 5, 1 vs 4
- Round 6: 1 vs 6, 4 vs 2, 3 vs 5
- Round 7: 4 vs 5, 2 vs 6, 1 vs 3
- Round 8: 3 vs 6, 2 vs 5, 1 vs 4
What is the number of the team that played Team 1 in Round 5?
Step 1:
There are two groups, each consisting of three teams.
Within each group, every team plays the other two teams once. In addition, each team plays every team from the other group exactly twice.
Hence, the number of matches played by each team is:
= 2 × 1 + 3 × 2 = 8
Since there are six teams in total, the total number of matches played is:
= (8 × 6)/2 = 24
Step 2:
From condition (3), Teams 4 and 6 belong to different groups.
From condition (4), Teams 1 and 5 are placed in the same group.
Conditions (5) and (6) allow several fixtures to be filled immediately.
Condition (1) states that Team 1 faced Team 4 in Round 8.
Therefore, the groups must be:
- Group 1: Teams (4, 2, 3)
- Group 2: Teams (6, 1, 5)
Using condition (2), Rounds 5 and 8 have identical fixtures.
The schedule at this stage is:
- Round 1: 4 vs 6
- Round 2: 4 vs 6, 1 vs 5
- Round 3: 3 vs 4
- Round 5: 3 vs 6, 2 vs 5, 1 vs 4
- Round 6: 1 vs 6
- Round 8: 3 vs 6, 2 vs 5, 1 vs 4
Step 3:
Applying condition (2) once again, Rounds 4 and 7 are also identical.
The complete schedule is therefore:
- Round 1: 4 vs 6, 1 vs 2, 3 vs 5
- Round 2: 4 vs 6, 1 vs 5, 2 vs 3
- Round 3: 3 vs 4, 1 vs 2, 5 vs 6
- Round 4: 4 vs 5, 2 vs 6, 1 vs 3
- Round 5: 3 vs 6, 2 vs 5, 1 vs 4
- Round 6: 1 vs 6, 4 vs 2, 3 vs 5
- Round 7: 4 vs 5, 2 vs 6, 1 vs 3
- Round 8: 3 vs 6, 2 vs 5, 1 vs 4
Which team among the teams numbered 2, 3, 4, and 5 was not part of the same group?
5
3
2
4
5
Step 1:
There are two groups, each consisting of three teams.
Within each group, every team plays the other two teams once. In addition, each team plays every team from the other group exactly twice.
Hence, the number of matches played by each team is:
= 2 × 1 + 3 × 2 = 8
Since there are six teams in total, the total number of matches played is:
= (8 × 6)/2 = 24
Step 2:
From condition (3), Teams 4 and 6 belong to different groups.
From condition (4), Teams 1 and 5 are placed in the same group.
Conditions (5) and (6) allow several fixtures to be filled immediately.
Condition (1) states that Team 1 faced Team 4 in Round 8.
Therefore, the groups must be:
- Group 1: Teams (4, 2, 3)
- Group 2: Teams (6, 1, 5)
Using condition (2), Rounds 5 and 8 have identical fixtures.
The schedule at this stage is:
- Round 1: 4 vs 6
- Round 2: 4 vs 6, 1 vs 5
- Round 3: 3 vs 4
- Round 5: 3 vs 6, 2 vs 5, 1 vs 4
- Round 6: 1 vs 6
- Round 8: 3 vs 6, 2 vs 5, 1 vs 4
Step 3:
Applying condition (2) once again, Rounds 4 and 7 are also identical.
The complete schedule is therefore:
- Round 1: 4 vs 6, 1 vs 2, 3 vs 5
- Round 2: 4 vs 6, 1 vs 5, 2 vs 3
- Round 3: 3 vs 4, 1 vs 2, 5 vs 6
- Round 4: 4 vs 5, 2 vs 6, 1 vs 3
- Round 5: 3 vs 6, 2 vs 5, 1 vs 4
- Round 6: 1 vs 6, 4 vs 2, 3 vs 5
- Round 7: 4 vs 5, 2 vs 6, 1 vs 3
- Round 8: 3 vs 6, 2 vs 5, 1 vs 4
What is the number of the team that played Team 1 in Round 7?
Step 1:
There are two groups, each consisting of three teams.
Within each group, every team plays the other two teams once. In addition, each team plays every team from the other group exactly twice.
Hence, the number of matches played by each team is:
= 2 × 1 + 3 × 2 = 8
Since there are six teams in total, the total number of matches played is:
= (8 × 6)/2 = 24
Step 2:
From condition (3), Teams 4 and 6 belong to different groups.
From condition (4), Teams 1 and 5 are placed in the same group.
Conditions (5) and (6) allow several fixtures to be filled immediately.
Condition (1) states that Team 1 faced Team 4 in Round 8.
Therefore, the groups must be:
- Group 1: Teams (4, 2, 3)
- Group 2: Teams (6, 1, 5)
Using condition (2), Rounds 5 and 8 have identical fixtures.
The schedule at this stage is:
- Round 1: 4 vs 6
- Round 2: 4 vs 6, 1 vs 5
- Round 3: 3 vs 4
- Round 5: 3 vs 6, 2 vs 5, 1 vs 4
- Round 6: 1 vs 6
- Round 8: 3 vs 6, 2 vs 5, 1 vs 4
Step 3:
Applying condition (2) once again, Rounds 4 and 7 are also identical.
The complete schedule is therefore:
- Round 1: 4 vs 6, 1 vs 2, 3 vs 5
- Round 2: 4 vs 6, 1 vs 5, 2 vs 3
- Round 3: 3 vs 4, 1 vs 2, 5 vs 6
- Round 4: 4 vs 5, 2 vs 6, 1 vs 3
- Round 5: 3 vs 6, 2 vs 5, 1 vs 4
- Round 6: 1 vs 6, 4 vs 2, 3 vs 5
- Round 7: 4 vs 5, 2 vs 6, 1 vs 3
- Round 8: 3 vs 6, 2 vs 5, 1 vs 4
What is the number of the team that played Team 6 in Round 3?
Step 1:
There are two groups, each consisting of three teams.
Within each group, every team plays the other two teams once. In addition, each team plays every team from the other group exactly twice.
Hence, the number of matches played by each team is:
= 2 × 1 + 3 × 2 = 8
Since there are six teams in total, the total number of matches played is:
= (8 × 6)/2 = 24
Step 2:
From condition (3), Teams 4 and 6 belong to different groups.
From condition (4), Teams 1 and 5 are placed in the same group.
Conditions (5) and (6) allow several fixtures to be filled immediately.
Condition (1) states that Team 1 faced Team 4 in Round 8.
Therefore, the groups must be:
- Group 1: Teams (4, 2, 3)
- Group 2: Teams (6, 1, 5)
Using condition (2), Rounds 5 and 8 have identical fixtures.
The schedule at this stage is:
- Round 1: 4 vs 6
- Round 2: 4 vs 6, 1 vs 5
- Round 3: 3 vs 4
- Round 5: 3 vs 6, 2 vs 5, 1 vs 4
- Round 6: 1 vs 6
- Round 8: 3 vs 6, 2 vs 5, 1 vs 4
Step 3:
Applying condition (2) once again, Rounds 4 and 7 are also identical.
The complete schedule is therefore:
- Round 1: 4 vs 6, 1 vs 2, 3 vs 5
- Round 2: 4 vs 6, 1 vs 5, 2 vs 3
- Round 3: 3 vs 4, 1 vs 2, 5 vs 6
- Round 4: 4 vs 5, 2 vs 6, 1 vs 3
- Round 5: 3 vs 6, 2 vs 5, 1 vs 4
- Round 6: 1 vs 6, 4 vs 2, 3 vs 5
- Round 7: 4 vs 5, 2 vs 6, 1 vs 3
- Round 8: 3 vs 6, 2 vs 5, 1 vs 4
Ananya Raga, Bhaskar Tala, Charu Veena, and Devendra Sur are four musicians. Each of them started and completed their training as students under each of three Gurus — Pandit Meghnath, Ustad Samiran, and Acharya Raghunath between 2013 and 2024, including both the years. Each Guru trains any student for consecutive years only, for a span of 2, 3, or 4 years, with each Guru having a different span. During some of these years, a student may not have trained under these Gurus; however, they never trained under multiple Gurus in the same year.
In none of these years, any of these Gurus trained more than two of these students at the same time. When two students train under the same Guru at the same time, they are referred to as Gurubhai, irrespective of their gender.
The following additional facts are known.
1. Ustad Samiran never trained more than one of these students in the same year.
2. Acharya Raghunath did not train any of these students during 2015-2018, as well as during 2021-24.
3. Ananya and Devendra were never Gurubhai; neither were Bhaskar and Charu. All other pairs of musicians were Gurubhai for exactly 2 years.
4. In 2013, Ananya and Bhaskar started their trainings under Pandit Meghnath and under Ustad Samiran, respectively.
In which of the following years were Ananya and Bhaskar Gurubhai?
2020
2018
2021
2014
2020
Step 1:
From Condition (1), Ustad Samiran never trains more than one of the four students in the same year. Therefore, each student must have trained under Ustad Samiran for 3 years.
Using Condition (2), Acharya Raghunath does not train any student during 2015–2018 and 2021–2024, creating two gaps of four years each. Hence, Acharya Raghunath trains every student for exactly 2 years.
From Condition (4), Ananya and Bhaskar began their training under Pandit Meghnath and Ustad Samiran, respectively, in 2013. Since no student can train under more than one guru simultaneously, Charu and Devendra must have started under Acharya Raghunath in 2013.
It also follows that Ananya and Bhaskar trained under Acharya Raghunath during 2019–2020, completing their two-year training period. As the training durations under the three gurus are 2, 3, and 4 years, and we have already determined that Acharya Raghunath trains for 2 years while Pandit Meghnath trains for 3 years, Ustad Samiran must train each student for 4 years.
Since Ananya started her training in 2013, and a student cannot train under two gurus at the same time, Bhaskar can train under Pandit Meghnath only during 2021–2024.
Now, applying Condition (3), among the six possible student pairs (AB, AC, AD, BC, BD, and CD), the pairs AD and BC cannot be gurubhais. Each of the remaining four pairs must be gurubhais for exactly 2 years.
Accordingly, Ananya and Charu train together under Pandit Meghnath during 2015 and 2016. Similarly, Bhaskar and Devendra train together during 2021 and 2022.
Step 2:
Under Ustad Samiran, each student has a distinct 3-year training period with no overlap. Therefore, Ananya must train during 2022–2024, as any other three-year period would overlap with her training under the other two gurus.
The remaining schedules can now be determined uniquely. Devendra trains under Ustad Samiran from 2016–2018, while Charu trains under Ustad Samiran from 2019–2021.
The complete schedule is shown in the table below.
Hence, Ananya and Bhaskar were gurubhai in 2020.
In which year did Charu begin her training under Pandit Meghnath?
2017
2015
2016
2021
2015
Step 1:
From Condition (1), Ustad Samiran never trains more than one of the four students in the same year. Therefore, each student must have trained under Ustad Samiran for 3 years.
Using Condition (2), Acharya Raghunath does not train any student during 2015–2018 and 2021–2024, creating two gaps of four years each. Hence, Acharya Raghunath trains every student for exactly 2 years.
From Condition (4), Ananya and Bhaskar began their training under Pandit Meghnath and Ustad Samiran, respectively, in 2013. Since no student can train under more than one guru simultaneously, Charu and Devendra must have started under Acharya Raghunath in 2013.
It also follows that Ananya and Bhaskar trained under Acharya Raghunath during 2019–2020, completing their two-year training period. As the training durations under the three gurus are 2, 3, and 4 years, and we have already determined that Acharya Raghunath trains for 2 years while Pandit Meghnath trains for 3 years, Ustad Samiran must train each student for 4 years.
Since Ananya started her training in 2013, and a student cannot train under two gurus at the same time, Bhaskar can train under Pandit Meghnath only during 2021–2024.
Now, applying Condition (3), among the six possible student pairs (AB, AC, AD, BC, BD, and CD), the pairs AD and BC cannot be gurubhais. Each of the remaining four pairs must be gurubhais for exactly 2 years.
Accordingly, Ananya and Charu train together under Pandit Meghnath during 2015 and 2016. Similarly, Bhaskar and Devendra train together during 2021 and 2022.
Step 2:
Under Ustad Samiran, each student has a distinct 3-year training period with no overlap. Therefore, Ananya must train during 2022–2024, as any other three-year period would overlap with her training under the other two gurus.
The remaining schedules can now be determined uniquely. Devendra trains under Ustad Samiran from 2016–2018, while Charu trains under Ustad Samiran from 2019–2021.
The complete schedule is shown in the table below.
Charu began her training under Pandit Meghnath in 2015.
In which of the following years were Bhaskar and Devendra Gurubhai?
2015
2022
2018
2020
2022
Step 1:
From Condition (1), Ustad Samiran never trains more than one of the four students in the same year. Therefore, each student must have trained under Ustad Samiran for 3 years.
Using Condition (2), Acharya Raghunath does not train any student during 2015–2018 and 2021–2024, creating two gaps of four years each. Hence, Acharya Raghunath trains every student for exactly 2 years.
From Condition (4), Ananya and Bhaskar began their training under Pandit Meghnath and Ustad Samiran, respectively, in 2013. Since no student can train under more than one guru simultaneously, Charu and Devendra must have started under Acharya Raghunath in 2013.
It also follows that Ananya and Bhaskar trained under Acharya Raghunath during 2019–2020, completing their two-year training period. As the training durations under the three gurus are 2, 3, and 4 years, and we have already determined that Acharya Raghunath trains for 2 years while Pandit Meghnath trains for 3 years, Ustad Samiran must train each student for 4 years.
Since Ananya started her training in 2013, and a student cannot train under two gurus at the same time, Bhaskar can train under Pandit Meghnath only during 2021–2024.
Now, applying Condition (3), among the six possible student pairs (AB, AC, AD, BC, BD, and CD), the pairs AD and BC cannot be gurubhais. Each of the remaining four pairs must be gurubhais for exactly 2 years.
Accordingly, Ananya and Charu train together under Pandit Meghnath during 2015 and 2016. Similarly, Bhaskar and Devendra train together during 2021 and 2022.
Step 2:
Under Ustad Samiran, each student has a distinct 3-year training period with no overlap. Therefore, Ananya must train during 2022–2024, as any other three-year period would overlap with her training under the other two gurus.
The remaining schedules can now be determined uniquely. Devendra trains under Ustad Samiran from 2016–2018, while Charu trains under Ustad Samiran from 2019–2021.
The complete schedule is shown in the table below.
Bhaskar and Devendra were Gurubhai in 2022.
Which of the following statements is TRUE?
Ananya was training under Ustad Samiran in 2015.
Charu was training under Ustad Samiran in 2019.
Ananya was training under Ustad Samiran in 2018.
Charu was training under Ustad Samiran in 2018.
Charu was training under Ustad Samiran in 2019.
Step 1:
From Condition (1), Ustad Samiran never trains more than one of the four students in the same year. Therefore, each student must have trained under Ustad Samiran for 3 years.
Using Condition (2), Acharya Raghunath does not train any student during 2015–2018 and 2021–2024, creating two gaps of four years each. Hence, Acharya Raghunath trains every student for exactly 2 years.
From Condition (4), Ananya and Bhaskar began their training under Pandit Meghnath and Ustad Samiran, respectively, in 2013. Since no student can train under more than one guru simultaneously, Charu and Devendra must have started under Acharya Raghunath in 2013.
It also follows that Ananya and Bhaskar trained under Acharya Raghunath during 2019–2020, completing their two-year training period. As the training durations under the three gurus are 2, 3, and 4 years, and we have already determined that Acharya Raghunath trains for 2 years while Pandit Meghnath trains for 3 years, Ustad Samiran must train each student for 4 years.
Since Ananya started her training in 2013, and a student cannot train under two gurus at the same time, Bhaskar can train under Pandit Meghnath only during 2021–2024.
Now, applying Condition (3), among the six possible student pairs (AB, AC, AD, BC, BD, and CD), the pairs AD and BC cannot be gurubhais. Each of the remaining four pairs must be gurubhais for exactly 2 years.
Accordingly, Ananya and Charu train together under Pandit Meghnath during 2015 and 2016. Similarly, Bhaskar and Devendra train together during 2021 and 2022.
Step 2:
Under Ustad Samiran, each student has a distinct 3-year training period with no overlap. Therefore, Ananya must train during 2022–2024, as any other three-year period would overlap with her training under the other two gurus.
The remaining schedules can now be determined uniquely. Devendra trains under Ustad Samiran from 2016–2018, while Charu trains under Ustad Samiran from 2019–2021.
The complete schedule is shown in the table below.
Let us check each statement:
1. Ananya was training under Ustad Samiran in 2015, is not true.
2. Charu was training under Ustad Samiran in 2019, is true.
3. Ananya was training under Ustad Samiran in 2018, is not true
4. Charu was training under Ustad Samiran in 2018, is not true.
Between 2013-24, there were 4 years when only two of these four musicians were training under these three Gurus. These years were 2017, 2018, 2023 and 2024.
Step 1:
From Condition (1), Ustad Samiran never trains more than one of the four students in the same year. Therefore, each student must have trained under Ustad Samiran for 3 years.
Using Condition (2), Acharya Raghunath does not train any student during 2015–2018 and 2021–2024, creating two gaps of four years each. Hence, Acharya Raghunath trains every student for exactly 2 years.
From Condition (4), Ananya and Bhaskar began their training under Pandit Meghnath and Ustad Samiran, respectively, in 2013. Since no student can train under more than one guru simultaneously, Charu and Devendra must have started under Acharya Raghunath in 2013.
It also follows that Ananya and Bhaskar trained under Acharya Raghunath during 2019–2020, completing their two-year training period. As the training durations under the three gurus are 2, 3, and 4 years, and we have already determined that Acharya Raghunath trains for 2 years while Pandit Meghnath trains for 3 years, Ustad Samiran must train each student for 4 years.
Since Ananya started her training in 2013, and a student cannot train under two gurus at the same time, Bhaskar can train under Pandit Meghnath only during 2021–2024.
Now, applying Condition (3), among the six possible student pairs (AB, AC, AD, BC, BD, and CD), the pairs AD and BC cannot be gurubhais. Each of the remaining four pairs must be gurubhais for exactly 2 years.
Accordingly, Ananya and Charu train together under Pandit Meghnath during 2015 and 2016. Similarly, Bhaskar and Devendra train together during 2021 and 2022.
Step 2:
Under Ustad Samiran, each student has a distinct 3-year training period with no overlap. Therefore, Ananya must train during 2022–2024, as any other three-year period would overlap with her training under the other two gurus.
The remaining schedules can now be determined uniquely. Devendra trains under Ustad Samiran from 2016–2018, while Charu trains under Ustad Samiran from 2019–2021.
The complete schedule is shown in the table below.
Between 2013-24, there were 4 years when only two of these four musicians were training under these three Gurus. These years were 2017, 2018, 2023 and 2024.
Anjali, Bipasha, and Chitra visited an entertainment park that has four rides. Each ride lasts one hour and can accommodate one visitor at one point. All rides begin at 9 am and must be completed by 5 pm except for Ride-3, for which the last ride has to be completed by 1 pm. Ride gates open every 30 minutes, e.g. 10 am, 10:30 am, and so on. Whenever a ride gate opens, and there is no visitor inside, the first visitor waiting in the queue buys the ticket just before taking the ride. The ticket prices are Rs. 20, Rs. 50, Rs. 30 and Rs. 40 for Rides 1 to 4, respectively. Each of the three visitors took at least one ride and did not necessarily take all rides. None of them took the same ride more than once. The movement time from one ride to another is negligible, and a visitor leaves the ride immediately after the completion of the ride. No one takes a break inside the park unless mentioned explicitly.
The following information is also known.
1. Chitra never waited in the queue and completed her visit by 11 am after spending Rs. 50 to pay for the ticket(s).
2. Anjali took Ride-1 at 11 am after waiting for 30 mins for Chitra to complete it. It was the only ride where Anjali waited.
3. Bipasha began her first of three rides at 11:30 am. All three visitors incurred the same amount of ticket expense by 12:15 pm.
4. The last ride taken by Anjali and Bipasha was the same, where Bipasha waited 30 mins for Anjali to complete her ride. Before standing in the queue for that ride, Bipasha took a 1-hour coffee break after completing her previous ride.
What was the total amount spent on tickets (in Rs.) by Bipasha?
90
120
100
110
110
Step 1:
From conditions (1) and (2), it can be inferred that Chitra completed Ride 3 from 9:00 AM to 10:00 AM and Ride 1 from 10:00 AM to 11:00 AM. This follows because Anjali had to wait for 30 minutes to complete Ride 1, which finished at 11:00 AM.
From condition (3), Bipasha paid for only one ride until 12:15 PM, i.e., Ride 2, which ran from 11:30 AM to 12:30 PM. Since Bipasha completed three rides in total, she could not have taken Ride 3, as it ended at 1:00 PM.
The schedule at this stage is:
- Anjali: Ride 1 – Unknown, Ride 2 – Unknown, Ride 3 – Unknown, Ride 4 – Unknown
- Bipasha: Ride 2 – 11:30 AM to 12:30 PM, Ride 3 – Not taken
- Chitra: Ride 1 – 10:00 AM to 11:00 AM, Ride 3 – 9:00 AM to 10:00 AM, Ride 2 and Ride 4 – Not taken
Step 2:
Using condition (4), Bipasha's schedule can be determined as follows:
- 11:30 AM – 12:30 PM: Ride 2
- 12:30 PM – 1:30 PM: Free
- 1:30 PM – 2:30 PM: Coffee break
- 2:30 PM – 3:00 PM: Waiting
- 3:00 PM – 4:00 PM: Ride 4
Since Bipasha waited from 2:30 PM to 3:00 PM for Anjali to complete the previous ride, her final ride started at 3:00 PM and ended at 4:00 PM.
Hence, the final schedule is:
- Anjali
- Ride 1: 11:00 AM – 12:00 PM
- Ride 2: 1:00 PM – 2:00 PM
- Ride 3: 12:00 PM – 1:00 PM
- Ride 4: 2:00 PM – 3:00 PM
- Bipasha
- Ride 2: 11:30 AM – 12:30 PM
- Ride 4: 3:00 PM – 4:00 PM
- Chitra
- Ride 1: 10:00 AM – 11:00 AM
- Ride 3: 9:00 AM – 10:00 AM
Total amount spent on tickets (in Rs.) by Bipasha is Rs. 110.
Which ride was taken by all three visitors?
Ride-4
Ride-3
Ride-2
Ride-1
Ride-1
Step 1:
From conditions (1) and (2), it can be inferred that Chitra completed Ride 3 from 9:00 AM to 10:00 AM and Ride 1 from 10:00 AM to 11:00 AM. This follows because Anjali had to wait for 30 minutes to complete Ride 1, which finished at 11:00 AM.
From condition (3), Bipasha paid for only one ride until 12:15 PM, i.e., Ride 2, which ran from 11:30 AM to 12:30 PM. Since Bipasha completed three rides in total, she could not have taken Ride 3, as it ended at 1:00 PM.
The schedule at this stage is:
- Anjali: Ride 1 – Unknown, Ride 2 – Unknown, Ride 3 – Unknown, Ride 4 – Unknown
- Bipasha: Ride 2 – 11:30 AM to 12:30 PM, Ride 3 – Not taken
- Chitra: Ride 1 – 10:00 AM to 11:00 AM, Ride 3 – 9:00 AM to 10:00 AM, Ride 2 and Ride 4 – Not taken
Step 2:
Using condition (4), Bipasha's schedule can be determined as follows:
- 11:30 AM – 12:30 PM: Ride 2
- 12:30 PM – 1:30 PM: Free
- 1:30 PM – 2:30 PM: Coffee break
- 2:30 PM – 3:00 PM: Waiting
- 3:00 PM – 4:00 PM: Ride 4
Since Bipasha waited from 2:30 PM to 3:00 PM for Anjali to complete the previous ride, her final ride started at 3:00 PM and ended at 4:00 PM.
Hence, the final schedule is:
- Anjali
- Ride 1: 11:00 AM – 12:00 PM
- Ride 2: 1:00 PM – 2:00 PM
- Ride 3: 12:00 PM – 1:00 PM
- Ride 4: 2:00 PM – 3:00 PM
- Bipasha
- Ride 2: 11:30 AM – 12:30 PM
- Ride 4: 3:00 PM – 4:00 PM
- Chitra
- Ride 1: 10:00 AM – 11:00 AM
- Ride 3: 9:00 AM – 10:00 AM
Ride 1 was taken by all three visitors.
Which were all the rides that Anjali completed by 2:00 pm?
Ride-1, Ride-2, and Ride-3
Ride-1 and Ride-3
Ride-1, Ride-2, and Ride-4
Ride-1 and Ride-4
Ride-1, Ride-2, and Ride-3
Step 1:
From conditions (1) and (2), it can be inferred that Chitra completed Ride 3 from 9:00 AM to 10:00 AM and Ride 1 from 10:00 AM to 11:00 AM. This follows because Anjali had to wait for 30 minutes to complete Ride 1, which finished at 11:00 AM.
From condition (3), Bipasha paid for only one ride until 12:15 PM, i.e., Ride 2, which ran from 11:30 AM to 12:30 PM. Since Bipasha completed three rides in total, she could not have taken Ride 3, as it ended at 1:00 PM.
The schedule at this stage is:
- Anjali: Ride 1 – Unknown, Ride 2 – Unknown, Ride 3 – Unknown, Ride 4 – Unknown
- Bipasha: Ride 2 – 11:30 AM to 12:30 PM, Ride 3 – Not taken
- Chitra: Ride 1 – 10:00 AM to 11:00 AM, Ride 3 – 9:00 AM to 10:00 AM, Ride 2 and Ride 4 – Not taken
Step 2:
Using condition (4), Bipasha's schedule can be determined as follows:
- 11:30 AM – 12:30 PM: Ride 2
- 12:30 PM – 1:30 PM: Free
- 1:30 PM – 2:30 PM: Coffee break
- 2:30 PM – 3:00 PM: Waiting
- 3:00 PM – 4:00 PM: Ride 4
Since Bipasha waited from 2:30 PM to 3:00 PM for Anjali to complete the previous ride, her final ride started at 3:00 PM and ended at 4:00 PM.
Hence, the final schedule is:
- Anjali
- Ride 1: 11:00 AM – 12:00 PM
- Ride 2: 1:00 PM – 2:00 PM
- Ride 3: 12:00 PM – 1:00 PM
- Ride 4: 2:00 PM – 3:00 PM
- Bipasha
- Ride 2: 11:30 AM – 12:30 PM
- Ride 4: 3:00 PM – 4:00 PM
- Chitra
- Ride 1: 10:00 AM – 11:00 AM
- Ride 3: 9:00 AM – 10:00 AM
The rides that Anjali completed by 2 pm are Ride 1, Ride 2 and Ride 3.
How many rides did Anjali and Chitra take in total?
Step 1:
From conditions (1) and (2), it can be inferred that Chitra completed Ride 3 from 9:00 AM to 10:00 AM and Ride 1 from 10:00 AM to 11:00 AM. This follows because Anjali had to wait for 30 minutes to complete Ride 1, which finished at 11:00 AM.
From condition (3), Bipasha paid for only one ride until 12:15 PM, i.e., Ride 2, which ran from 11:30 AM to 12:30 PM. Since Bipasha completed three rides in total, she could not have taken Ride 3, as it ended at 1:00 PM.
The schedule at this stage is:
- Anjali: Ride 1 – Unknown, Ride 2 – Unknown, Ride 3 – Unknown, Ride 4 – Unknown
- Bipasha: Ride 2 – 11:30 AM to 12:30 PM, Ride 3 – Not taken
- Chitra: Ride 1 – 10:00 AM to 11:00 AM, Ride 3 – 9:00 AM to 10:00 AM, Ride 2 and Ride 4 – Not taken
Step 2:
Using condition (4), Bipasha's schedule can be determined as follows:
- 11:30 AM – 12:30 PM: Ride 2
- 12:30 PM – 1:30 PM: Free
- 1:30 PM – 2:30 PM: Coffee break
- 2:30 PM – 3:00 PM: Waiting
- 3:00 PM – 4:00 PM: Ride 4
Since Bipasha waited from 2:30 PM to 3:00 PM for Anjali to complete the previous ride, her final ride started at 3:00 PM and ended at 4:00 PM.
Hence, the final schedule is:
- Anjali
- Ride 1: 11:00 AM – 12:00 PM
- Ride 2: 1:00 PM – 2:00 PM
- Ride 3: 12:00 PM – 1:00 PM
- Ride 4: 2:00 PM – 3:00 PM
- Bipasha
- Ride 2: 11:30 AM – 12:30 PM
- Ride 4: 3:00 PM – 4:00 PM
- Chitra
- Ride 1: 10:00 AM – 11:00 AM
- Ride 3: 9:00 AM – 10:00 AM
Anjali and Chitra take 6 Rides in total.
What was the total amount spent on tickets (in Rs.) by Anjali?
Step 1:
From conditions (1) and (2), it can be inferred that Chitra completed Ride 3 from 9:00 AM to 10:00 AM and Ride 1 from 10:00 AM to 11:00 AM. This follows because Anjali had to wait for 30 minutes to complete Ride 1, which finished at 11:00 AM.
From condition (3), Bipasha paid for only one ride until 12:15 PM, i.e., Ride 2, which ran from 11:30 AM to 12:30 PM. Since Bipasha completed three rides in total, she could not have taken Ride 3, as it ended at 1:00 PM.
The schedule at this stage is:
- Anjali: Ride 1 – Unknown, Ride 2 – Unknown, Ride 3 – Unknown, Ride 4 – Unknown
- Bipasha: Ride 2 – 11:30 AM to 12:30 PM, Ride 3 – Not taken
- Chitra: Ride 1 – 10:00 AM to 11:00 AM, Ride 3 – 9:00 AM to 10:00 AM, Ride 2 and Ride 4 – Not taken
Step 2:
Using condition (4), Bipasha's schedule can be determined as follows:
- 11:30 AM – 12:30 PM: Ride 2
- 12:30 PM – 1:30 PM: Free
- 1:30 PM – 2:30 PM: Coffee break
- 2:30 PM – 3:00 PM: Waiting
- 3:00 PM – 4:00 PM: Ride 4
Since Bipasha waited from 2:30 PM to 3:00 PM for Anjali to complete the previous ride, her final ride started at 3:00 PM and ended at 4:00 PM.
Hence, the final schedule is:
- Anjali
- Ride 1: 11:00 AM – 12:00 PM
- Ride 2: 1:00 PM – 2:00 PM
- Ride 3: 12:00 PM – 1:00 PM
- Ride 4: 2:00 PM – 3:00 PM
- Bipasha
- Ride 2: 11:30 AM – 12:30 PM
- Ride 4: 3:00 PM – 4:00 PM
- Chitra
- Ride 1: 10:00 AM – 11:00 AM
- Ride 3: 9:00 AM – 10:00 AM
The total amount spent on tickets by Anjali is Rs. 140.
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