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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 the program sets ‘R’ and ‘W’ are to be operated on the first day, which of the following could be the other programs on that day?
Following are the conditions:
1. The following can be the possibilities with respect to P and V: P/V/None
2. The following can be the possibilities with respect to T and Q: Q...T
3. The following can be the possibilities with respect to R and V: R...V
4. The last has to be S or U.
If R and W are mandatorily in the list, we need to have V as well (condition with R).
Now, RWV are in the list. For the other two: We need to have at least one of S/U for the end. Both of them will also be fine.
Hence, one set can be R,W,V,S,U.
We can also have T instead of one of S/U, as we cannot have P (since it cannot come with V). This makes another possible set as: R,W,V,T, S/U. Hence, Option B is correct.
