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If P,Q,R are Boolean variables, then (P + Q̅)(P̅Q + P.R)(P̅R + Q̅) simplifies to

1. P.Q̅
2. P.R̅
3. P.Q̅ + R
4. P.R̅ + Q

Correct answer: P.Q̅

Solution

The expression simplifies to P.Q̅ because the terms combine in such a way that only the conjunction of P and the negation of Q remains, effectively eliminating other variables and combinations.

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