CAT 2023 Slot 2 Solved Paper

Question : 41 of 66

Marks: +1, -0

Which were all the rides that Anjali completed by 2:00 pm?

Ride-1 and Ride-3
Ride-1, Ride-2, and Ride-3
Ride-1, Ride-2, and Ride-4
Ride-1 and Ride-4

Solution:

Consider Statement 2: Anjali took Ride-1 at 11 am after waiting for 30 minutes for Chitra to complete it. It was the only ride where Anjali waited.
This implies that Chitra took Ride 1 at 10 am. Now we also know that she spent Rs 50 and that she left at 11 am. Now, since she did one ride costing Rs 20 at 10, she must have taken Ride-3 at 9 am.
So we get the following table for Chitra.

	Ride 3	Ride 1
Time	9 am- 10 am	10 am- 11 am
Cost	Rs 30	Rs 20

Now we know that Chitra and Anjali spent Rs 50 before

12: 15

pm. It is not possible for Anjali to go on Ride-3 at 10 am as we know that she was waiting for 30 minutes before taking Ride-1 (She was waiting from 10:30 am).
Now, since we know that Ride- 1 was the only ride for which she waited, we can say that she took Ride- 1 at 11 am and started Ride-3 at 12 am
So we get the following table for Anjali.

	Ride-1	Ride-3
Time	$11 {\am}-12 {\pm}$	$12 {\pm}-1 {\pm}$
Cost	20	30

Now, we know that Bipasha started her first ride at

11: 30 {\am}

. We also know that they all spent Rs 50 before 12:15 pm.
Therefore, the first ride Bipasha takes will be Ride-2, costing Rs 50 .
So we get the following table for Bipasha.

	Ride-2
Time	$11: 30$ am- 12:30am
Cost	50

We know that Ride 3 stops at 1 pm. So the last ride taken by Anjali will either be Ride- 2 or Ride- 4 . Now, considering Statement 4,we know that the last ride taken by Anjali and Bipasha was same and that Bipasha rode it after Anjali. So their last ride can't be 2.
So the last ride of both Bipasha and Anjali will be 4 .
Now if we assume that immediately after ending Ride-3, Anjali goes to Ride-4, then the last ride of Bipasha will be Ride- 4 from 2 pm - 3 pm. But we know that Bipasha rode 3 rides. So this case is not possible.
Since Anjali didn't have any break or waiting time, the only ride she can ride at

1 {\pm}

will be Ride 2 and then she will go on Ride-4 from

2 {\pm}

3 {\pm}

.
So we get the following table for Anjali:

	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	20	30	50	40

Now we know that the last ride that Bipasha took was Ride- 4 and that she had a gap of

1.5 {\hrs}

before it. This is only possible when she takes one ride between Ride-2 and Ride-4. Since Ride- 3 is closed at

1 {\pm}

, she can only take Ride 1. So we get the following table for her.

	Ride-2	Ride-1	Break	Waiting time	Ride-4
Time	$11: 30 {\am}-12: 30 {\pm}$	$12: 30 {\pm}-1: 30 {\pm}$	$1: 30 {\pm}-2: 30 {\pm}$	$2: 30 {\pm}$ to $3: 00 {\pm}$	$3 {\pm}-4 {\pm}$
Cost	50	20			40

Anjali completed a total of 4 rides, 3 of which were completed at 2. Therefore the answer is Option B: Ride-1, Ride 3, and Ride -2

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