CAT 2025 Slot 1 · DILR · Question 5

Set 1: Train Occupancy, Stations A to E — this question belongs to a set. Read the full set with all 5 questions →

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.

Segment C – D had an occupancy factor of 95%. Only segment B – C had a higher occupancy factor.

Exactly 40 tickets were booked from B to C and 30 tickets were booked from B to E.

Among the seats reserved on segment D – E, exactly four-sevenths were from stations before C.

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.

No tickets were booked from A to B, from B to D and from D to E.

The number of tickets booked for any segment was a multiple of 10.