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
Let's consider the statement 2: Anjali waited for 30 minutes for Chitra to finish Ride-1 before taking it at 11 am, which was the only time she had to wait for a ride.
Given that Chitra spent Rs 50, took Ride-1 at 10 am for Rs 20, and left at 11 am, it follows 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 gone on Ride-3 at 10 am, as she was waiting from 10:30 am before taking Ride-1. Therefore, both Chitra and Anjali spent Rs 50 before 12:15 pm.
Since Anjali only waited for Ride-1, she must have taken it at 11 am, and she began Ride-3 at 12 pm.
Anjali's initial rides:
| Ride-1 | Ride-3 | |
| Time | 11am - 12pm | 12pm - 1pm |
| Cost | Rs 20 | Rs 30 |
Given that Bipasha's first ride began at 11:30 am and they collectively spent Rs 50 before 12:15 pm, it follows that her initial ride must have been Ride-2, which costs Rs 50.
Bipasha's first ride:
| Ride-2 | |
| Time | 11:30am - 12:30pm |
| Cost | Rs 50 |
Since Ride-3 ends at 1 pm, Anjali's final ride will either be Ride-2 or Ride-4. Given Statement 4, where Anjali and Bipasha took the same final ride, and Bipasha rode it after Anjali, Ride-2 cannot be their last ride.
Hence, the last ride of both Anjali and Bipasha will be Ride-4.
Full schedule for Anjali:
| 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 |
Given that Bipasha's final ride was Ride-4 and she had a 1.5-hour gap before it, she must have taken one ride between Ride-2 and Ride-4. As Ride-3 closes at 1 pm, her only option is Ride-1.
Full schedule for Bipasha:
| Ride-2 | Ride-1 | Break | Waiting | Ride-4 | |
| Time | 11:30am - 12:30pm | 12:30pm - 1:30pm | 1:30pm - 2:30pm | 2:30pm - 3pm | 3pm - 4pm |
| Cost | Rs 50 | Rs 20 | Rs 40 |
Hence, Anjali completed a total of 4 rides, out of which 3 were completed by 2pm.
So, 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
Let's consider Statement 2: Anjali waited for 30 minutes for Chitra to finish Ride-1 before taking it at 11 am, which was the only time she had to wait for a ride.
Given that Chitra spent Rs 50, took Ride-1 at 10 am for Rs 20, and left at 11 am, it follows that she must have taken Ride-3 at 9 am.
So, we get the table for Chitra as follows:
Chitra's Schedule
| Ride 3 | Ride 1 | |
|---|---|---|
| Time | 9am - 10am | 10am - 11am |
| Cost | Rs. 30 | Rs. 20 |
Anjali could not have gone on Ride-3 at 10 am, as she was waiting from 10:30 am before taking Ride-1.
Since Anjali only waited for Ride-1, she must have taken it at 11 am, and began Ride-3 at 12 pm.
Anjali's Partial Schedule
| Ride-1 | Ride-3 | |
|---|---|---|
| Time | 11am - 12pm | 12pm - 1pm |
| Cost | Rs. 20 | Rs. 30 |
Given that Bipasha's first ride began at 11:30 am and she had spent Rs 50 before 12:15 pm, her initial ride must have been Ride-2 (Rs 50).
Bipasha's Initial Ride
| Ride-2 | |
|---|---|
| Time | 11:30am - 12:30pm |
| Cost | Rs. 50 |
Since Ride-3 ends at 1 pm, Anjali’s final ride will either be Ride-2 or Ride-4.
Given Statement 4 (Anjali and Bipasha took the same final ride, and Bipasha rode it after Anjali), Ride-2 cannot be the final ride.
So, their 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, and she had a 1.5-hour gap before it. Ride-3 was unavailable after 1 pm, so her only 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 |
From the above tables, we find that only Ride-1 was taken by all three visitors.
Correct Option: (A) Ride-1
How many rides did Anjali and Chitra take in total?
Solution and Explanation
Let's consider Statement 2: Anjali waited for 30 minutes for Chitra to finish Ride-1 before taking it at 11 am, which was the only time she had to wait for a ride. Given that Chitra spent Rs 50, took Ride-1 at 10 am for Rs 20, and left at 11 am, it follows 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 gone on Ride-3 at 10 am, as she was waiting from 10:30 am before taking Ride-1. Therefore, both Chitra and Anjali spent Rs 50 before 12:15 pm. Since Anjali only waited for Ride-1, she must have taken it at 11 am, and then began 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 first ride began at 11:30 am and she had spent 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 |
Since Ride-3 ends at 1 pm, Anjali’s final ride would either be Ride-2 or Ride-4. Given that Anjali and Bipasha took the same final ride and Bipasha rode it after Anjali, Ride-2 can't be their last ride. So, 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 and she had a 1.5-hour gap before it. She must have taken one ride between Ride-2 and Ride-4. Ride-3 is closed by 1 pm, so she could only take 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 |
From the tables, we conclude:
Anjali took 4 rides
Chitra took 2 rides
Answer: 6
What was the total amount spent on tickets (in Rs.) by Anjali?
Solution and Explanation
Let's analyze the rides and costs for each person based on the clues provided:
Chitra
| Ride | Time | Cost |
|---|---|---|
| Ride 3 | 9am - 10am | Rs. 30 |
| Ride 1 | 10am - 11am | Rs. 20 |
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 |
Total Anjali Spent: 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 |
Answer: Rs. 140 (Total amount Anjali spent)
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 spent a total amount of Rs. 110 on tickets for three rides. Let's determine which three rides Bipasha took based on the information provided:
- Chitra's Rides: Chitra completed her rides by 11 am and spent Rs. 50. Given Ride-2 costs Rs. 50, she must have taken Ride-2. She didn't take any other ride, as Rs. 50 was her total expense.
- Anjali's Rides: Anjali started Ride-1 at 11 am after waiting for Chitra. Her total expenses are Rs. 110 by 12:15 pm. To match Chitra and Bipasha’s expenses (Rs. 50 each by 12:15 pm), Anjali’s first ride (Ride-1) cost Rs. 20. Thus, her combined expense is Rs. 70. To reach Rs. 110, her second ride should cost Rs. 40—so her last ride is Ride-4.
- Bipasha’s Rides: To have the same Rs. 50 expense by 12:15 pm, and considering Anjali first did Ride-1, Bipasha could take Ride-1 first, costing Rs. 20. Her second ride must be Ride-3 (costing Rs. 30), making her expenses Rs. 50 by 12:15 pm. The last ride Bipasha took, after her coffee break, and where Anjali also completed her ride, is Ride-4 (cost: Rs. 40).
Hence, Bipasha's total expenses are: Ride-1 (Rs. 20) + Ride-3 (Rs. 30) + Ride-4 (Rs. 40) = Rs. 110.
Bipasha spent Rs. 110 on all rides.
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