CAT 2023 Slot 2 DILR Set 4 Q16–Q20

A DILR caselet from the Data Interpretation & Logical Reasoning (DILR) section of CAT 2023 Slot 2, with 5 questions (Scheduling). Answers are CAT's official key.

The set

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.

Question 16

What was the total amount spent on tickets (in Rs.) by Bipasha?
  1. A
    120
  2. B
    110
  3. C
    100
  4. D
    90

Answer: (B) 110 Scheduling MCQ

Solution

  1. Chitra spent 50 without waiting and Anjali waited for her at Ride-1 from 10:30, so Chitra rode Ride-3 (9-10) and Ride-1 (10-11), paying 30 + 20.
  2. Bipasha's first ride at 11:30 must have cost 50 by 12:15, so it was Ride-2 (11:30-12:30). Anjali, after Ride-1 (11-12), boards at 12:00 and needs 30 more by 12:15, so she took Ride-3 (12-1).
  3. Bipasha: Ride-2, then a ride at 12:30, a coffee break 1:30-2:30, a 30-minute wait, and the final ride 3-4. So Anjali's last ride is 2-3 on the same ride. It can only be Ride-4 (Ride-3 closes at 1, Ride-1 Anjali already took), so Bipasha's second ride is Ride-1 (12:30-1:30).
  4. Anjali cannot idle between 1 and 2, so she rode Ride-2 from 1 to 2. Anjali: R1, R3, R2, R4; Bipasha: R2, R1, R4; Chitra: R3, R1.
  5. Bipasha paid \(50 + 20 + 40 = 110\).

Question 17

Which were all the rides that Anjali completed by 2:00 pm?
  1. A
    Ride-1 and Ride-4
  2. B
    Ride-1, Ride-2, and Ride-3
  3. C
    Ride-1 and Ride-3
  4. D
    Ride-1, Ride-2, and Ride-4

Answer: (B) Ride-1, Ride-2, and Ride-3 Scheduling MCQ

Solution

  1. Chitra spent 50 without waiting and Anjali waited for her at Ride-1 from 10:30, so Chitra rode Ride-3 (9-10) and Ride-1 (10-11), paying 30 + 20.
  2. Bipasha's first ride at 11:30 must have cost 50 by 12:15, so it was Ride-2 (11:30-12:30). Anjali, after Ride-1 (11-12), boards at 12:00 and needs 30 more by 12:15, so she took Ride-3 (12-1).
  3. Bipasha: Ride-2, then a ride at 12:30, a coffee break 1:30-2:30, a 30-minute wait, and the final ride 3-4. So Anjali's last ride is 2-3 on the same ride. It can only be Ride-4 (Ride-3 closes at 1, Ride-1 Anjali already took), so Bipasha's second ride is Ride-1 (12:30-1:30).
  4. Anjali cannot idle between 1 and 2, so she rode Ride-2 from 1 to 2. Anjali: R1, R3, R2, R4; Bipasha: R2, R1, R4; Chitra: R3, R1.
  5. By 2 pm Anjali had completed Ride-1 (12), Ride-3 (1) and Ride-2 (2).

Question 18

Which ride was taken by all three visitors?
  1. A
    Ride-3
  2. B
    Ride-1
  3. C
    Ride-4
  4. D
    Ride-2

Answer: (B) Ride-1 Scheduling MCQ

Solution

  1. Chitra spent 50 without waiting and Anjali waited for her at Ride-1 from 10:30, so Chitra rode Ride-3 (9-10) and Ride-1 (10-11), paying 30 + 20.
  2. Bipasha's first ride at 11:30 must have cost 50 by 12:15, so it was Ride-2 (11:30-12:30). Anjali, after Ride-1 (11-12), boards at 12:00 and needs 30 more by 12:15, so she took Ride-3 (12-1).
  3. Bipasha: Ride-2, then a ride at 12:30, a coffee break 1:30-2:30, a 30-minute wait, and the final ride 3-4. So Anjali's last ride is 2-3 on the same ride. It can only be Ride-4 (Ride-3 closes at 1, Ride-1 Anjali already took), so Bipasha's second ride is Ride-1 (12:30-1:30).
  4. Anjali cannot idle between 1 and 2, so she rode Ride-2 from 1 to 2. Anjali: R1, R3, R2, R4; Bipasha: R2, R1, R4; Chitra: R3, R1.
  5. Ride-1 is the only ride all three took.

Question 19

How many rides did Anjali and Chitra take in total?

TITA: type in the answer. There are no options and no negative marking.

Answer: 6 Scheduling TITA

Solution

  1. Chitra spent 50 without waiting and Anjali waited for her at Ride-1 from 10:30, so Chitra rode Ride-3 (9-10) and Ride-1 (10-11), paying 30 + 20.
  2. Bipasha's first ride at 11:30 must have cost 50 by 12:15, so it was Ride-2 (11:30-12:30). Anjali, after Ride-1 (11-12), boards at 12:00 and needs 30 more by 12:15, so she took Ride-3 (12-1).
  3. Bipasha: Ride-2, then a ride at 12:30, a coffee break 1:30-2:30, a 30-minute wait, and the final ride 3-4. So Anjali's last ride is 2-3 on the same ride. It can only be Ride-4 (Ride-3 closes at 1, Ride-1 Anjali already took), so Bipasha's second ride is Ride-1 (12:30-1:30).
  4. Anjali cannot idle between 1 and 2, so she rode Ride-2 from 1 to 2. Anjali: R1, R3, R2, R4; Bipasha: R2, R1, R4; Chitra: R3, R1.
  5. Anjali took 4 rides and Chitra 2, a total of 6.

Question 20

What was the total amount spent on tickets (in Rs.) by Anjali?

TITA: type in the answer. There are no options and no negative marking.

Answer: 140 Scheduling TITA

Solution

  1. Chitra spent 50 without waiting and Anjali waited for her at Ride-1 from 10:30, so Chitra rode Ride-3 (9-10) and Ride-1 (10-11), paying 30 + 20.
  2. Bipasha's first ride at 11:30 must have cost 50 by 12:15, so it was Ride-2 (11:30-12:30). Anjali, after Ride-1 (11-12), boards at 12:00 and needs 30 more by 12:15, so she took Ride-3 (12-1).
  3. Bipasha: Ride-2, then a ride at 12:30, a coffee break 1:30-2:30, a 30-minute wait, and the final ride 3-4. So Anjali's last ride is 2-3 on the same ride. It can only be Ride-4 (Ride-3 closes at 1, Ride-1 Anjali already took), so Bipasha's second ride is Ride-1 (12:30-1:30).
  4. Anjali cannot idle between 1 and 2, so she rode Ride-2 from 1 to 2. Anjali: R1, R3, R2, R4; Bipasha: R2, R1, R4; Chitra: R3, R1.
  5. Anjali paid \(20 + 30 + 50 + 40 = 140\).