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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:

1. If program P is to be operated on a day, V can’t be operated on that day.

2. If Q is to be operated on a day, T must be one of the programs to be operated after Q.

3. If R is to be operated on a day, V must be one of the programs to be operated after R.

4. 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 program on that day?


1. P, T, V
2. Q, S, V
3. Q, T, V
4. T, S, V

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Correct Answer - Option 4 : T, S, V

Given: 

1. If program P is to be operated on a day, V can’t be operated on that day.

2. If Q is to be operated on a day, T must be one of the programs to be operated after Q.

3. If R is to be operated on a day, V must be one of the programs to be operated after R.

4. The last program to be operated on any day must be either S or U.

Conditions that follows:

3. If R is to be operated on a day, V must be one of the programs to be operated after R.

Options Possible Combination Reasons
1. P, T, V Not possible, according to condition 1,  P and V can't be operated on that day.
2. Q, S, V Not possible,  according to condition 2,  T must be operated one of the days after Q and T is not in the combination.
3. Q, T, V Not possible, according to condition 4, the last program to be operated on any day must be either S or U.
4. T, S, V Possible, It follows conditions 3 and 4 and does not violate any given condition.

 

Hence, T, S, V is the correct answer.

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