Multiple choice

Passage

DIRECTIONS: Study the information carefully and answer the adjacent questions. In ABC pharmaceuticals, the process of drug manufacturing consists of four operations – Milling (2, 5), Granulation (3, 5), Coating (3, 6) and Tablet pressing (3, 6). The numbers in brackets represent the minimum and the maximum time (both in hours) required to complete the operation. The following table gives the names of ten people to whom these four operations were assigned. The operations could be done in any order. In the table, '1' represents the operation which was assigned to the person while '0' represents the operation which was not assigned to that person. Further it is known that, (I) The time taken (in hours) for the completion of any operation is an integer. (II) No person could indulge into two different operations at the same time. (III) Any operation, once started by a person, could be completed only by him/her.

If, on a day, every person started the operation simultaneously, what could be the maximum possible number of persons who could have completed all the operations assigned to them in the next five hours?

  1. 3

  2. 5

  3. 6

  4. 4
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D Correct answer
AI explanation

There are 10 people assigned to four operations with maximum times of 5, 5, 6, and 6 hours respectively. Since everyone starts simultaneously, any person assigned to all four operations would need a minimum of 19 hours to finish, so they cannot complete their work within the 5-hour window. To find the maximum number of people who can finish within 5 hours, we identify people assigned to only a single operation with a maximum time of 5 hours. Counting the people assigned to Milling and Granulation who have no other operations reveals a maximum of 4 such people. The maximum possible number of persons who could have completed all operations in five hours is 4.

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