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CAT Exam Model Paper 3 with solutions for free online practice

Direction (Q. No. 63-66) Answer the questions on the basis of the information given in the following case study.
Tina, a blast furnace expert, who works as a technology trouble-shooter stays in Jamshedpur. She has got an important assignment in Delhi, which required 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 h and 15:55 h and reach Delhi next day at 04:50 h and 10:35h respectively. Trains 12444 and 12802 start from Delhi at 17:20 h and 22:30 h and reach Jamshedpur next day at 10:35 h and 20:05 h 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 min both-ways by any o f the scheduled flights. Air India operates two flights, AI 9810 and AI 810, which depart atom Ranchi at 8:00 h and 15:25 h respectively. Flight number IT-3348 operated by Kingfisher Airlines departs Ranchi at 19:20 h. Return flights operated by Air India, AI 9809 and AI 809, depart Delhi at 5:50 h and 11:00 h respectively. Flight number IT-3347 operated by Kingfisher Airlines departs Delhi at 17:10h.
From Tina’s home Jamshedpur railway station is five minutes drive and her destination at Delhi is 90 min and 30 min drive from airport and railway station, respectively. One has to reach the airport atleast 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 : 65

Total: 100

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 h of the same day.Choose the option, from the options given below, that will help her to minimize the total time out of Jamshedpur

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 9810 and return by AI 9809

Validate

Solution:

(d) Tina cannot leave before 16:00 h on 8th January. So, if any of the travel modes necessitate departure before 16:00 h, she will have to begin the journey on 9th January. However, consider that the “time out of Jamshedpur” is to be minimized. So, the time she spends in Jamshedpur till her departure on 9th January cannot be considered “waiting time”.
Consider each option.
Option (a)
Since, there are 2 trains journeys,
Travel times = (2 × 10) + (2 × 35) + Actual travel in 12443 + actual travel in 12444 = 20 + 70 + 1120 + 1035 = 2245 min
Work time = 360 min
If she goes by train 12443, she will leave on 9th January, reach the work site at 11:10 h on 10th and finish the work at 17:10 h.Because train 12444 departs at 17:20 h, she will miss it and will have to catch it on 11th January. It means a waiting time till 16:45 h of 11th January i.e., 1415 min. So, total time = 2245 + 360 + 1415 = 4020 min
Option (b)
She goes by train and comes back by flight.
Travel time = Time from home to Jamshedpur station + Actual train travel + Time from Delhi railway station to work site + Flight time = 10 + 1120 + 35 + 435 = 1600 min
Work time = 360 min
If she goes by train 12443, she will leave on 9th January, reach the work site at 11:10 h on 10th and finish the work at 17:10 h.
Flight AI 9809 departs at 05:50 h on 11th January. So, she will have to wait till 03:20 h of 11th January i.e., a waiting time of 610 min.
So, total time = 1600 + 360 + 610 = 2570 min.
Hence, option (b) can be rejected.
Observe that options (c) can straightway be rejected as it mentions a return journey by train 12801, which is not feasible as that train travels from Jamshedpur to Delhi and not the other way round.
Hence, option (c) can be rejected
Option (d)
She travels both ways by flight
Travels time = 435 × 2 = 870 min
Work Time = 360 min
If she goes by AI 9810, she departs on 9th January, arrives the work site at 11:15 h on 9th and complete the work at 17:15 h.
Fight AI 9809 departs at 05:50 h on 10th January. So, she will have to wait till 03:20 h of 11th January i.e., a waiting time of 605 min.
So, total time = 870 + 360 + 605 = 1835 min
Hence, option (b) can be rejected.

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