CAT 2025 Slot 1 Question Paper with Solutions – Page 17
All 69 questions of CAT 2025 Slot 1. Tap Show answer, or open the detailed solution (free login). Page 17 of 17.
Questions 20–24 share this
A train travels from Station A to Station E, passing through stations B, C, and D, in that order. The train has a seating capacity of 200. A ticket may be booked from any station to any other station ahead on the route, but not to any earlier station.
A ticket from one station to another reserves one seat on every intermediate segment of the route. For example, a ticket from B to E reserves a seat in the intermediate segments B – C, C – D, and D – E.
The occupancy factor for a segment is the total number of seats reserved in the segment as a percentage of the seating capacity. The total number of seats reserved for any segment cannot exceed 200.
The following information is known.
1. Segment C – D had an occupancy factor of 95%. Only segment B – C had a higher occupancy factor.
2. Exactly 40 tickets were booked from B to C and 30 tickets were booked from B to E.
3. Among the seats reserved on segment D – E, exactly four-sevenths were from stations before C.
4. The number of tickets booked from A to C was equal to that booked from A to E, and it was higher than that from B to E.
5. No tickets were booked from A to B, from B to D and from D to E.
6. The number of tickets booked for any segment was a multiple of 10.
A ticket from one station to another reserves one seat on every intermediate segment of the route. For example, a ticket from B to E reserves a seat in the intermediate segments B – C, C – D, and D – E.
The occupancy factor for a segment is the total number of seats reserved in the segment as a percentage of the seating capacity. The total number of seats reserved for any segment cannot exceed 200.
The following information is known.
1. Segment C – D had an occupancy factor of 95%. Only segment B – C had a higher occupancy factor.
2. Exactly 40 tickets were booked from B to C and 30 tickets were booked from B to E.
3. Among the seats reserved on segment D – E, exactly four-sevenths were from stations before C.
4. The number of tickets booked from A to C was equal to that booked from A to E, and it was higher than that from B to E.
5. No tickets were booked from A to B, from B to D and from D to E.
6. The number of tickets booked for any segment was a multiple of 10.
What was the occupancy factor for segment D – E?
- 70%
- 35%
- 77%
- 84%
Show answerHide answer
Answer: A. 70%
Refer to the passage above ↑
How many tickets were booked from Station A to Station E? ____
Show answerHide answer
Answer: 50
Refer to the passage above ↑
How many tickets were booked from Station C? ___
Show answerHide answer
Answer: 80
Refer to the passage above ↑
What is the difference between the number of tickets booked to Station C and the number of tickets booked to Station D? ____
Show answerHide answer
Answer: 40
Refer to the passage above ↑
How many tickets were booked to travel in exactly one segment? ____
Show answerHide answer
Answer: 60