UPPSC PCS - 2013

A passenger was told from the inquiry office of a railway station that a train for Delhi had already left 15 minutes before, but after every 45 minutes the train for Delhi leaves, the next train would leave at 8.30 pm, how much did that passenger get the said information? Was it given?

Year Asked: 2013

A
7: 45 p.m.
B
8:00 p.m.
C
8: 15 p.m.
D
8: 05 p.m.

Correct Answer

B. 8:00 p.m.

Detailed Explanation

The question is worded awkwardly, but the intended query is: what is the current time at the inquiry office? The answer is 8:00 p.m. (Option B).

Work backwards from the next train. It leaves at 8:30 p.m. and trains run every 45 minutes, so the previous Delhi train left at 8:30 minus 45 minutes, which is 7:45 p.m. The clerk said that train left 15 minutes before the passenger asked, so the present time is 7:45 plus 15, which is 8:00 p.m.

Why the other options fail:

  • A) 7:45 p.m. is the departure time of the last train, not the current time.
  • C) 8:15 p.m. would make the last train leave at 8:00, which gives a 30-minute gap, not 45.
  • D) 8:05 p.m. would make the last train leave at 7:50, which again breaks the 45-minute frequency.

This is a time-and-distance style clock problem: use the fixed headway to find the earlier event, then add the elapsed interval. It is standard reasoning for railway timetable and time-arithmetic questions in General Studies and CSAT-style papers.

Trap: candidates often stop at 7:45 p.m., the departure time they just computed, and forget to add the 15 minutes elapsed since that train left.

This question appeared in UPPCS 2013 GS Paper 2.

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