XAT Scheduling Questions

XAT Scheduling-based questions of DI Section, test a candidate's ability to interpret and analyze data related to time and resource management. These questions often come in the form of complex tables, Gantt charts, or graphs depicting timelines, resource allocation, or activity scheduling. Candidates are required to solve problems such as arranging tasks in an optimal sequence, resolving conflicts in schedules, or maximizing efficiency under given constraints like deadlines, costs, or manpower availability.

Having a clear understanding of the XAT syllabus and focusing on important topics is crucial for effective preparation. To assist candidates, we have compiled a collection of previously asked questions along with detailed solutions, available for download as a PDF. For quality practice and better preparation, enrolling in a XAT crash course can be highly beneficial, as it helps streamline your study plan and further enhances your readiness for the exam.

XAT Scheduling Questions

Instructions

Given below is the time table for a trans-continental train that cuts across several time zones. All timings are in local time in the respective cities. The average speed of the train between any two cities is the same in both directions.

Question 1

Which of the following pairs of cities are in the same time zone?

Yag and Vaq

Vaq and Sab

Zut and Yag

No pair of cities are in the same time zone.

Sab and Raz

Video Solution

Solution

The above figure shows the time taken in hrs:min to travel between two consecutive cities both for upward and downward journeys.

The difference in time between two consecutive cities will be the average of the difference in time taken for upward and downward journeys.

So, the difference of time for different consecutive pairs can be found as below:

Z-Y:

For both up & down motions time difference is 0. Hence, Z & Y are in same time zone.

Y-V:

Time taken for travelling from Y to V is less than that of from V to Y with a difference of 4 hrs. Hence, Y is 2 hours ahead of V.

V-S:

Time taken for travelling from V to S is less than that of from S to V with a difference of 6 hrs. Hence, V is 3 hours ahead of S.

S-R:

Time taken for travelling from S to R is less than that of from R to S with a difference of 2 hrs. Hence, S is 1 hour ahead of R.

As shown above, only cities Zut and Yag are in same time-zone.

Hence, option C.

Instructions

Question 2

What is the total time taken in minutes by the train to go from Zut to Raz?

22 hours, 40 minutes

28 hours, 40 minutes

16 hours, 40 minutes

20 hours, 40 minutes

24 hours, 40 minutes

Video Solution

Solution

The above figure shows the time taken in hrs:min to travel between two consecutive cities both for upward and downward journeys.

The difference in time between two consecutive cities will be the average of the difference in time taken for upward and downward journeys.

So, the difference of time for different consecutive pairs can be found as below:

Z-Y:

For both up & down motions time difference is 0. Hence, Z & Y are in same time zone.

Y-V:

Time taken for travelling from Y to V is less than that of from V to Y with a difference of 4 hrs. Hence, Y is 2 hours ahead of V.

V-S:

Time taken for travelling from V to S is less than that of from S to V with a difference of 6 hrs. Hence, V is 3 hours ahead of S.

S-R:

Time taken for travelling from S to R is less than that of from R to S with a difference of 2 hrs. Hence, S is 1 hour ahead of R.

Zut is 6 hours ahead of Rag. Also, the train departs from Zut at 6:00 am and arrives at Rag at 10:40 pm taking a total of 16 hrs 40 min. Hence, the total time taken to travel from Zut to Rag is 22 hrs 40 min.

Hence, option A.

Instructions

Question 3

What time is it at Yag when it is 12:00 noon at Sab?

5:00 pm

12:00 noon

9:30 am

7:00 am

2:30 pm

Video Solution

Solution

The above figure shows the time taken in hrs:min to travel between two consecutive cities both for upward and downward journeys.

The difference in time between two consecutive cities will be the average of the difference in time taken for upward and downward journeys.

So, the difference of time for different consecutive pairs can be found as below:

Z-Y:

For both up & down motions time difference is 0. Hence, Z & Y are in same time zone.

Y-V:

Time taken for travelling from Y to V is less than that of from V to Y with a difference of 4 hrs. Hence, Y is 2 hours ahead of V.

V-S:

Time taken for travelling from V to S is less than that of from S to V with a difference of 6 hrs. Hence, V is 3 hours ahead of S.

S-R:

Time taken for travelling from S to R is less than that of from R to S with a difference of 2 hrs. Hence, S is 1 hour ahead of R.

It can be concluded that Yag is 5 hours ahead of Sab. Hence, it will be 5:00 Pm at Yag when it is 12 noon at Sab.

Hence, option A.

Instructions

A courier service has offices at three locations: Jamshedpur, Kharagpur and Howrah. Its employees travel by trains from one location to another for pick-up and delivery. It takes 40 minutes for an employee to travel from any railway station to the nearest office (and another 40 minutes for coming back); the paperwork to deliver the parcel at the respective office takes an additional 10 minutes. Assume employees do not waste any time.

Employees have the option to choose front any of the trains, whose timetable is given in the table below. Assume all trains travel on time and there is no time gap between arrival and departure of a train. Further, assume that the employee boards the train as soon as it arrives at the station.

Question 1

What will be the minimum time required to deliver a parcel at Kharagpur office from Jamshedpur station and come back to Jamshedpur station?

4 hours 25 minutes

5 hours 5 minutes

6 hours 35 minutes

7 hours 30 minutes

None of the above

Video Solution

Instructions

Question 2

An employee, starting from Howrah station, has to deliver one parcel at Kharagpur office and another parcel at Jamshedpur office. His task starts the moment he boards the train at Howrah station, and gets completed immediately after delivering the second parcel.

Which of the following trains should he board at Howrah station to minimize the time required to complete his task?

T201

T202

T204

Both Option A and Option B

Both Option B and Option C

Video Solution

Instructions

Question 3

An employee, starting from Kharagpur station, has to deliver one parcel at Howrah office and another parcel at Jamshedpur office. His task starts the moment he boards the train at Kharagpur station, and gets completed immediately after delivering the second parcel.

Which of the following trains should he board at Kharagpur station to minimize the time required to complete the task?

T102

T103

T202

T203

Both Option B and Option D

Video Solution

Question 1

Arun has to go to the country of Ten to work on a series of tasks for which he must get a permit from the Government of Ten. Once the permit is issued, Arun can enter the country within ten days of the date of issuance of the permit. Once Arun enters Ten, he can stay for a maximum of ten days. Each of the tasks has a priority, and takes a certain number of days to complete. Arun cannot work on more than one task at a time. The following table gives the details of the priority and the number of days required for each task.

Arun's first priority is to complete as many tasks as possible, and then try to complete the higher priority tasks. His last priority is to go back as soon as possible.

The tasks that Arun should try to complete are:

T1 and T2

T1, T2 and T5

T1, T4 and T5

T1, T2 and T4

T1, T3 and T4

Question 2

However, Arun's manager has told him to do some background research on the tasks before leaving for Ten. At the same time, there is no guarantee that the Government of Ten will give the permit to Arun. Background research involves substantial costs, and therefore Arun has decided that he will not start his background research without getting the permit.

The following table gives the details of the priority, the number of days required for each task and the number of days required for background research on each task.

T1, T2 and T3

T1, T2 and T5

T1, T2 and T4

T1, T3 and T4

T1, T4 and T5

XAT Scheduling Questions

XAT Scheduling Questions

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