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At an Electronic Data Processing Unit, five out of the eight program sets P, Q, R, S, T, U, V and W are to be operated daily. On any one day, except for the first day of a month, only three of the program sets must be the ones that were operated on the previous day. The
program operating must also satisfy the following conditions:
(i) If program ‘P’ is to be operated on a day, ‘V’ cannot be operated on that day.
(ii) If ‘Q’ is to be operated on a day, ‘T’ must be one of the programs to be operated after ‘Q’.
(iii) If ‘R’ is to be operated on day, ‘V’ must be one of the programs to be operated after ‘R’.
(iv) The last program to be operated on any day must be either ‘S’ or ‘U’.
Which of the following could be the set of programs to be operated on the first day of a month?
We shall test each of the options:
1. PRVSU: We cannot have P and V together, hence an invalid choice.
2. QSRVU: If Q is selected, T must be operated sometime after Q. This condition is violated in the given case, hence an invalid option.
3. TURVS: This case satisfies all the given conditions.
4. UQSTW: The last element has to be one from S or U, which is not there in the given case. Hence, an invalid option.
