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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’.
If ‘R’ is operated at third place in a sequence, which of the following cannot be the second program in that sequence?
We shall test each of the options with R in the third place.
1. _ Q R_ _: In this case, we know that T has to come after Q, and V after R. However, this will violate the rule of having one of S/U at the end. Hence, an invalid combination and the correct choice for the question.
2. _ S R _ _: With this, we can have TSRVU as one of the valid sequences.
3. _ T R _ _: With this, we can have QTRVU as one of the valid sequences.
4. _ U R _ _: With this, we can have TURVS as one of the valid sequences.
