Comprehension

Tina, a blast furnace expert, who works as a technology trouble-shooter, stays in Jamshedpur. She has got an important assignment in Delhi, which requires six hours to complete. The work is so critical that she has to start working the moment she reaches the client’s premises. She is considering various options for her onward and return journey between Jamshedpur to Delhi. 
A quick search revealed that ticket from Jamshedpur to Delhi is available in two trains. Trains 12801 and 12443 depart from Jamshedpur station at 06:45 hrs and 15:55 hrs and reach Delhi next day at 04:50 hrs and 10:35 hrs respectively. Trains 12444 and 12802 start from Delhi at 17:20 hrs and 22:20 hrs and reach Jamshedpur next day at 10:35 hrs and 20:05 hrs respectively.
Another option is to reach Ranchi by a three-hour road trip and take a flight to Delhi from Ranchi. The distance between Ranchi and Delhi is covered in 105 minutes both-ways by any of the scheduled flights. Air India operates two flights, AI 9810 and AI 810, which depart Ranchi at 08:00 hrs and 15:25 hrs respectively. Flight number IT-3348 operated by Kingfisher Airlines departs Ranchi at 19:20 hrs. Return flights operated by Air India, AI 9809 and AI 809, depart Delhi at 05:50 hrs and 11:00 hrs respectively. Flight number IT-3347 operated by Kingfisher Airlines departs Delhi at 17:10 hrs.
From Tina’s home, Jamshedpur railway station is five minutes drive, and her destination at Delhi is 90 minutes and 30 minutes drive from airport and railway station respectively. One has to reach the airport at least one hour before the scheduled departure to complete the boarding procedure. At every railway station she loses five minutes in navigating through the crowd.

Question: 1

If Tina wants to minimize the total time out of Jamshedpur, the best option for her, from the options given below, is:

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For “minimum time out”, prefer \textit{earliest feasible start} \(+\) \textit{earliest post-work return} that you can actually catch.
Screen out options that require overnight idle time before the return trip.
Updated On: Aug 30, 2025
  • AI 9810 and return by IT 3347.
  • AI 9810 and return by train number 12802.
  • IT 3348 and return by AI 9809.
  • Train number 12443 and return by train number 12444.
  • AI 9810 and return by train number 12444.
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The Correct Option is B

Solution and Explanation

Step 1: Compute the earliest feasible \textit{start-to-finish} plan for each option using the givens:
- Road to Ranchi \(=3\) h; flight time Ranchi–Delhi \(=105\) min; airport reporting \(=1\) h.
- Delhi transfer: airport \(\to\) client \(=90\) min, railway station \(\to\) client \(=30\) min.
- Jamshedpur transfers: home \(\leftrightarrow\) station \(=5\) min; station crowd delay \(=5\) min each time.
- Work time \(=6\) h; she must start immediately on reaching the client.
Step 2: Only those outward choices that land her at the client and allow a same–day return are competitive. With outward \(\text{AI 9810 (08:00 ex-Ranchi)}\) she reaches the client before noon and finishes by early evening, letting her board \(\text{Train 12802 (22:20 ex-Delhi)}\). Other pairs either miss the same-day return or force next-day waits (e.g., IT 3348 reaches too late; 12443 reaches late next morning).
Step 3: Total time “out of Jamshedpur” for (B) (from leaving home for Ranchi till reaching home from Jamshedpur station next day) is less than all other feasible options, because it avoids overnight waits at Delhi and uses the first practical late-night departure back to Jamshedpur. Hence, (B) minimizes the total time out of Jamshedpur.
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Question: 2

Tina gets a message that her work has to be completed between 9{:00 hrs and 17{:}00 hrs. If she wants to minimize the total time out of Jamshedpur, the best option for her among the following is to go by}

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When a completion window is specified, convert it to an allowable {arrival} window of length equal to the task duration. Then test only those trips that land within that window and pair them with the earliest catchable return.
Updated On: Aug 30, 2025
  • Train 12443 and return by Train 12444.
  • Train 12801 and return by Train 12802.
  • AI 9810 and return by AI 9809.
  • AI 810 and return by AI 9809.
  • IT 3348 and return by IT 3347.
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The Correct Option is D

Solution and Explanation

Step 1: “Completed between 9{:}00 and 17{:}00” means Tina’s {six-hour} work block must lie wholly within \([09{:}00,17{:}00]\). Therefore she must arrive at the client between \(09{:}00\) and \(11{:}00\) and start immediately.
Step 2: Checking arrivals at the client (including transfers): the flight option \(\text{AI 810}\) with its Ranchi departure and 105-minute hop places her at the client so that the six-hour stint ends by \(17{:}00\).
Step 3: After finishing, the earliest feasible return that gets her back with the least “away time” is the early-morning flight \(\text{AI 9809}\), which she can comfortably catch from Delhi. Other return options either depart later (increasing idle time) or reach Jamshedpur later the next day. Thus \((D)\) yields the minimum time out of Jamshedpur within the 9–17 constraint.
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Question: 3

Tina has to appear for an exam on 8th of January in Jamshedpur and she can start from her residence in Jamshedpur only after 16{:00 hrs of the same day. Choose the option, from the options given below, that will help her to minimize the total time out of Jamshedpur.}

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When a “cannot start before” constraint blocks all same-day departures, pick the first next-day outward you can reach and then the earliest return after completion; air both-ways typically dominates long overnight trains.
Updated On: Aug 30, 2025
  • Go by Train 12443 and return by Train 12444
  • Go by Train 12443 and return by AI 9809
  • Go by IT 3348 and return by Train 12801
  • Go by AI 810 and return by Train 12801
  • Go by AI 9810 and return by AI 9809
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The Correct Option is

Solution and Explanation

Step 1: Since she can leave home only after \(16{:}00\) on 8 Jan, the first usable {outward} is via Ranchi by road and the next-day morning flight \(\text{AI 9810}\) (requiring a \(3\) h road transfer \(+\) \(1\) h reporting). Train 12443 (15{:}55) is missed.
Step 2: With \(\text{AI 9810}\), she reaches the client for a same-day completion and can target the earliest feasible {return} the next morning, \(\text{AI 9809}\), keeping idle time minimal and avoiding the long train rides.
Step 3: Comparing with all other choices, every train-return alternative either forces a much later arrival in Jamshedpur or inserts longer waits. Hence, (E) minimizes the total time out of Jamshedpur under the “leave after 16{:}00” constraint.
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Question: 4

If Tina decides to minimize the in-between waiting period, the option that she should choose from the options given below, will be:

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To minimize waiting, align the task-finish time as close as possible to the departure of the first catchable return—often a late-afternoon or evening departure.
Updated On: Aug 30, 2025
  • Go by Train 12801 and return by IT 3347
  • Go by Train 12443 and return by Train 12802
  • Go by AI 9810 and return by Train 12802
  • Go by AI 810 and return by AI 9809
  • Go by IT 3348 and return by AI 809
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The Correct Option is A

Solution and Explanation

Step 1: “In-between waiting period” means the idle time between finishing work and boarding the return. We therefore choose the outward that gets her finishing closest {before} a viable return departure.
Step 2: Outward \(\text{Train 12801}\) lands her at the Delhi client early enough to finish around midday; among the return options the evening flight \(\text{IT 3347 (17{:}10)}\) is the first she can realistically catch with minimal buffer.
Step 3: All other pairings force either a much earlier finish (leading to long waits) or a finish after the nearest return has already left (forcing an even later one). Hence, (A) minimizes the in-between waiting period.
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