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Year

CAT 2025

Section

Data

Topic

Network Flow Diagrams

Difficulty

Hard

Question

Slot-1

Passage:

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.

Question 1

What was the occupancy factor for segment D – E?

35%

84%

77%

70%

Question 2

How many tickets were booked from Station A to Station E?

Question 3

How many tickets were booked from Station C?

Question 4

What is the difference between the number of tickets booked to Station C and the number of tickets booked to Station D?

Question 5

How many tickets were booked to travel in exactly one segment?

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