XAT 2018
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.
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?
Answer questions 42-43 on the basis of information given in the following situation.
Three persons, A, B and C, lived on an island hill. A lived on the top of the island hill, B occupied the middle portion of the hill and C occupied the bottom of the hill. The top of the hill received good rainfall, the main source of water in the hill, though this portion of the hill had few trees. The middle of the hill however was lush with trees offering timber. The bottom of the hill had a good amount of stones and sand. A, B and C assessed their wealth in terms of ownership of timber, water, stones and sand available in the island hill only. During heavy rains, stones and sand from the top and middle portion of the hill rolled over to the bottom. When the rains stopped, both A and B claimed that some stones rolled down from their lands to the land occupied by C. They wanted the stones back. But C argued that rolling down of stones is a natural process.
All three approached a wise man for the settlement of the ownership dispute.
Which of the following is the best option available for the wise man?
Six months later, the three realized that the solution offered by the wise man in the previous question wasn't working to the satisfaction of all, because it did not help them find the appropriate value of resources. Therefore, they reverted to status quo ante. After one year, all three of them wanted to construct a house each, on their respective property. Three types of resources-1.Timber, 2.water and 3.stone & sand- were required to build a house. While each had one resource in abundance none of them had all the three in sufficient quantity. They still could not come to an agreement on how to fairly value and use each other's resources to construct the house. They again approached the wise man for advice.
The wise man studied the situation carefully and proposed the following actions:
1. The governing body of the United Federation of Islands, of which the island hill is a part, should take ownership of all the three properties and construct houses for the three.
2. Each person should own one third of each of the resources.
3. The three persons should arrive at the value of resources by trading the resources among them.
Which of the following is the most appropriate in the best interests of A, B and C?
Answer questions 44-45 on the basis of information given in the following situation.
Ramesh, the owner of an auto-component manufacturing company in Sanand, had just returned after attending the funeral of his employee, Pankaj Kumar, who had died of cancer at the age of 35. Pankaj was a hardworking and sincere employee with impeccable performance record. Pankaj was the sole bread earner for his family with negligible savings and was survived by his wife and two school going children. His wife will get around 8 lakh rupees accrued to Pankaj as social security benefit.
A large number of employees wanted the organization to employ Pankaj’s wife on compassionate grounds so that she could support her family. Though Ramesh was sympathetic to the demand, he realized that this could set a precedence, where the organization will have to provide jobs for everyone with similar conditions in the future. In fact, only recently, Ramesh had refused a request for a job to the daughter of an employee, who had died a few months before he was to retire.
Ramesh formed a committee to look into this matter and the committee came up with the following suggestions:
1. Create a fund to take care of immediate family expenses.
2. Finance the school and college education of his children.
3. Sponsor the vocational education of his wife and subsequently help her find a job.
4. Purchase insurance for all the family members.
5. Request all employees of the organization to contribute towards the welfare of the family.
Which of the following options, from the above suggestions, will be the most sustainable for Pankaj's family?
Ramesh, along with senior managers, was in the process of designing a policy to deal with such issues in the future.
Which of the following policy statements will be the least amenable to misuse in the future?
Madhuri Apte, a busy professional, rents out her studio apartment located in South Mumbai. Since she stays three hours away from the studio apartment, she uses a networked digital lock to monitor the property remotely. Each customer gets a temporary and unique access code for the digital lock that enables them to enter the studio apartment for the duration of stay. The apartment’s entrance door can also be opened with physical keys and Madhuri Apte has two such keys in her possession.
Madhuri Apte has employed a cleaner who has a permanent access code to enter the apartment for cleaning every day. She is available only between 15:00 hrs and 17:00 hrs.
Madhuri Apte’s apartment caters largely to international customers. A customer typically stays for 3 days, paying an average rent of $125 per day.
While Madhuri Apte's studio apartment gets good feedback on other aspects, many seem unhappy as they found the operation of the digital lock complicated.
Which of the following options is the best for Madhuri Apte in this context?
Madhuri's apartment received good feedback from the guests, except with respect to the operation of the digital lock. She decided to leave a spare physical key in the house for her guests. Recently some of the guests had forgotten to leave the key behind during checkout. Making a spare key will cost $500 and will take about 10 days to arrive. She was confused if she should continue leaving the spare key and was looking for a way out.
Which of the following would be the best way out for her?
For the following questions answer them individually
Abdul, Bimal, Charlie and Dilbar can finish a task in 10, 12, 15 and 18 days respectively. They can either choose to work or remain absent on a particular day. If 50 percent of the total work gets completed after 3 days, then, which of the following options is possible?
If the diagonals of a rhombus of side 15 cm are in the ratio 3:4, find the area of the rhombus.
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