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Amit, Balvinder, Chetan, and Deepak are employed in a company, where they have to share among themselves the work load that consists of six tasks A, B, C, D, E, and F. The following statements identify their preferences for the different tasks.
> All those who like task B also like task E.
> All those who like task C also like task D.
> All those who like task E do not like task C, and vice-versa.
> Some of those who like task E also like task A.
> Some of those who like task D also like task E.
> All those who like task D also like task F.[1] Amit enjoys the task D. Which of the following must be true?
(1) He may or may not like the task C.
(2) He does not like the task B.
(3) He likes the task A.
(4) He likes the task C.[2] Balvinder likes the task B. He may also like any of the following tasks, except
(1) Task A
(2) Task C
(3) Task D
(4) Task E[3] Chetan likes the task C. Which of the following must be false?
(1) He does not like the task A.
(2) He likes the task F.
(3) He does not like the task B.
(4) He may like the task E.[4] Based on the information provided, which of the following statements must be true?
(1) All those who like the task E also like the task C.
(2) None of those who do not like the task F like the task A.
(3) Those who like the task A may or may not like the task C.
(4) None of those who like the task B do not like the task D.asked in JMET
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