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
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
The Correct Option is A
Solution and Explanation
Statement 2 posits: Anjali waited 30 minutes for Chitra to finish Ride-1, commencing her own ride at 11 am, this being her sole waiting period for a ride. Considering Chitra spent Rs 50, took Ride-1 at 10 am for Rs 20, and departed at 11 am, it logically follows she must have taken Ride-3 at 9 am.
Chitra's Ride Schedule:
| Ride-3 | Ride-1 | |
| Time | 9 am - 10 am | 10 am - 11 am |
| Cost | Rs 30 | Rs 20 |
Anjali could not have commenced Ride-3 at 10 am, as she was waiting from 10:30 am before taking Ride-1. Consequently, both Chitra and Anjali expended Rs 50 prior to 12:15 pm. As Anjali's only waiting period was for Ride-1, she must have taken it at 11 am, commencing Ride-3 at 12 pm.
Anjali's Initial Rides:
| Ride-1 | Ride-3 | |
| Time | 11 am - 12 pm | 12 pm - 1 pm |
| Cost | Rs 20 | Rs 30 |
Given that Bipasha's first ride began at 11:30 am and their combined expenditure before 12:15 pm was Rs 50, her initial ride must have been Ride-2, costing Rs 50.
Bipasha's First Ride:
| Ride-2 | |
| Time | 11:30 am - 12:30 pm |
| Cost | Rs 50 |
Since Ride-3 concludes at 1 pm, Anjali's final ride will be either Ride-2 or Ride-4. Statement 4 indicates Anjali and Bipasha took the same final ride, with Bipasha riding it after Anjali. Therefore, Ride-2 cannot be their last ride. Thus, the final ride for both Anjali and Bipasha will be Ride-4.
Anjali's Full Schedule:
| Ride-1 | Ride-3 | Ride-2 | Ride-4 | |
| Time | 11 am - 12 pm | 12 pm - 1 pm | 1 pm - 2 pm | 2 pm - 3 pm |
| Cost | Rs 20 | Rs 30 | Rs 50 | Rs 40 |
Given Bipasha's final ride was Ride-4 and there was a 1.5-hour interval before it, she must have taken one ride between Ride-2 and Ride-4. As Ride-3 is unavailable after 1 pm, her only option is Ride-1.
Bipasha's Full Schedule:
| Ride-2 | Ride-1 | Break | Waiting | Ride-4 | |
| Time | 11:30 am - 12:30 pm | 12:30 pm - 1:30 pm | 1:30 pm - 2:30 pm | 2:30 pm - 3 pm | 3 pm - 4 pm |
| Cost | Rs 50 | Rs 20 | Rs 40 |
Anjali completed a total of 4 rides, with 3 rides finished by 2 pm. Therefore, the correct option is (A): Ride-1, Ride-2, and Ride-3.
Which ride was taken by all three visitors?
- Ride-1
- Ride-3
- Ride-4
- Ride-2
The Correct Option is A
Solution and Explanation
Statement 2 analysis: Anjali waited 30 minutes for Chitra to complete Ride-1 before commencing it at 11 am. This was her sole waiting period for a ride. Given Chitra spent Rs 50, took Ride-1 at 10 am for Rs 20, and concluded at 11 am, she must have taken Ride-3 at 9 am. Chitra's schedule is thus determined:
Chitra's Schedule
| Ride 3 | Ride 1 | |
|---|---|---|
| Time | 9am - 10am | 10am - 11am |
| Cost | Rs. 30 | Rs. 20 |
Anjali could not have ridden Ride-3 at 10 am due to her waiting for Ride-1 from 10:30 am. As Anjali's only waiting period was for Ride-1, she took it at 11 am, commencing Ride-3 at 12 pm.
Anjali's Partial Schedule
| Ride-1 | Ride-3 | |
|---|---|---|
| Time | 11am - 12pm | 12pm - 1pm |
| Cost | Rs. 20 | Rs. 30 |
Bipasha's initial ride, starting at 11:30 am, must have been Ride-2 (Rs 50), as she spent Rs 50 before 12:15 pm.
Bipasha's Initial Ride
| Ride-2 | |
|---|---|
| Time | 11:30am - 12:30pm |
| Cost | Rs. 50 |
As Ride-3 concluded at 1 pm, Anjali's final ride would be either Ride-2 or Ride-4. Statement 4 indicates Anjali and Bipasha shared the same final ride, with Bipasha taking it after Anjali. Therefore, Ride-2 is not the final ride; it must be Ride-4.
Anjali's Full Ride Schedule
| Ride-1 | Ride-3 | Ride-2 | Ride-4 | |
|---|---|---|---|---|
| Time | 11am - 12pm | 12pm - 1pm | 1pm - 2pm | 2pm - 3pm |
| Cost | Rs. 20 | Rs. 30 | Rs. 50 | Rs. 40 |
Bipasha's final ride was Ride-4, preceded by a 1.5-hour gap. Since Ride-3 was unavailable after 1 pm, her only available mid-ride option was Ride-1.
Bipasha's Full Ride Schedule
| Ride-2 | Ride-1 | Break | Waiting Time | Ride-4 | |
|---|---|---|---|---|---|
| Time | 11:30am - 12:30pm | 12:30pm - 1:30pm | 1:30pm - 2:30pm | 2:30pm - 3:00pm | 3:00pm - 4:00pm |
| Cost | Rs. 50 | Rs. 20 | Rs. 40 |
Analysis of the schedules reveals that **Ride-1** was the only ride taken by **all three visitors**.
Correct Option: (A) Ride-1
How many rides did Anjali and Chitra take in total?
Solution and Explanation
Considering Statement 2: Anjali waited 30 minutes for Chitra to complete Ride-1 before commencing it at 11 am. This was Anjali's sole waiting period for a ride. Given that Chitra incurred Rs 50, began Ride-1 at 10 am costing Rs 20, and concluded her ride at 11 am, it is deduced that she must have taken Ride-3 at 9 am.
Chitra's Ride Schedule
| Ride 3 | Ride 1 | |
|---|---|---|
| Time | 9am - 10am | 10am - 11am |
| Cost | Rs. 30 | Rs. 20 |
Anjali could not have participated in Ride-3 at 10 am, as she was occupied with waiting from 10:30 am prior to taking Ride-1. Consequently, both Chitra and Anjali expended Rs 50 before 12:15 pm. As Anjali's wait was exclusively for Ride-1, she must have taken it at 11 am, and subsequently commenced Ride-3 at 12 pm.
Anjali's Initial Ride Schedule
| Ride-1 | Ride-3 | |
|---|---|---|
| Time | 11am - 12pm | 12pm - 1pm |
| Cost | Rs. 20 | Rs. 30 |
Given that Bipasha's initial ride commenced at 11:30 am and her expenditure reached Rs 50 by 12:15 pm, her first ride must have been Ride-2.
Bipasha's Ride Schedule
| Ride-2 | |
|---|---|
| Time | 11:30am - 12:30pm |
| Cost | Rs. 50 |
As Ride-3 concludes at 1 pm, Anjali's subsequent ride would be either Ride-2 or Ride-4. Considering that Anjali and Bipasha shared the same final ride, with Bipasha taking it after Anjali, Ride-2 cannot be their final ride. Therefore, the final ride must be Ride-4.
Anjali's Full Ride Schedule
| Ride-1 | Ride-3 | Ride-2 | Ride-4 | |
|---|---|---|---|---|
| Time | 11am - 12pm | 12pm - 1pm | 1pm - 2pm | 2pm - 3pm |
| Cost | Rs. 20 | Rs. 30 | Rs. 50 | Rs. 40 |
Bipasha's final ride was Ride-4, preceded by a 1.5-hour interval. She must have completed one ride between Ride-2 and Ride-4. Since Ride-3 is unavailable after 1 pm, her only option was Ride-1.
Bipasha's Full Ride Schedule
| Ride-2 | Ride-1 | Break | Waiting | Ride-4 | |
|---|---|---|---|---|---|
| Time | 11:30am - 12:30pm | 12:30pm - 1:30pm | 1:30pm - 2:30pm | 2:30pm - 3:00pm | 3:00pm - 4:00pm |
| Cost | Rs. 50 | Rs. 20 | Rs. 40 |
Based on the provided tables:
Anjali completed 4 rides.
Chitra completed 2 rides.
Answer: 6
What was the total amount spent on tickets (in Rs.) by Anjali?
Solution and Explanation
Analysis of rides and costs per individual, based on provided information:
Chitra
| Ride | Time | Cost |
|---|---|---|
| Ride 3 | 9am - 10am | Rs. 30 |
| Ride 1 | 10am - 11am | Rs. 20 |
Chitra's Total: Rs. 50
Anjali
| Ride | Time | Cost |
|---|---|---|
| Ride 1 | 11am - 12pm | Rs. 20 |
| Ride 3 | 12pm - 1pm | Rs. 30 |
| Ride 2 | 1pm - 2pm | Rs. 50 |
| Ride 4 | 2pm - 3pm | Rs. 40 |
Anjali's Total Expenditure: Rs. 140
Bipasha
| Ride | Time | Cost |
|---|---|---|
| Ride 2 | 11:30am - 12:30pm | Rs. 50 |
| Ride 1 | 12:30pm - 1:30pm | Rs. 20 |
| Break | 1:30pm - 2:30pm | - |
| Wait | 2:30pm - 3:00pm | - |
| Ride 4 | 3pm - 4pm | Rs. 40 |
Conclusion: Rs. 140 (Anjali's total spending)
What was the total amount spent on tickets (in Rs.) by Bipasha?
- 110
- 120
- 90
- 100
The Correct Option is A
Solution and Explanation
Bipasha's total expenditure on three rides amounted to Rs. 110. The following analysis identifies the specific rides Bipasha took:
- Chitra's Rides: Chitra concluded her rides by 11 am, spending a total of Rs. 50. Since Ride-2 is priced at Rs. 50, it is deduced that she rode Ride-2 and no other, as her total expenditure was Rs. 50.
- Anjali's Rides: Anjali commenced Ride-1 at 11 am, following Chitra's completion. By 12:15 pm, her cumulative spending reached Rs. 110. To align with the Rs. 50 expenditure of Chitra and Bipasha by 12:15 pm, Anjali's initial ride (Ride-1) cost Rs. 20, bringing her total to Rs. 70. To reach Rs. 110, her subsequent ride must cost Rs. 40, indicating her final ride was Ride-4.
- Bipasha’s Rides: To match the Rs. 50 expenditure by 12:15 pm, and given Anjali's initial ride was Ride-1, Bipasha's first ride could be Ride-1 (costing Rs. 20). Her second ride would then be Ride-3 (costing Rs. 30), resulting in a total of Rs. 50 by 12:15 pm. The final ride Bipasha undertook, after a break and concurrently with Anjali's ride completion, was Ride-4 (costing Rs. 40).
Consequently, Bipasha's total expenses are calculated as follows: Ride-1 (Rs. 20) + Ride-3 (Rs. 30) + Ride-4 (Rs. 40) = Rs. 110.
Bipasha's overall expenditure on all rides was Rs. 110.
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