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The Five-Station Train Bookings

PRACTICE
100:00+4 −1MCQ Single Answer
Data / Set

Directions: Read the information given below and answer the questions that follow.

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 200200. 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 200200.

The following information is known.

1. Segment C – D had an occupancy factor of 95%95\%. Only segment B – C had a higher occupancy factor.
2. Exactly
4040 tickets were booked from B to C and 3030 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
1010.

What was the occupancy factor for segment D – E?
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