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According to the principle of logic, an implication and it's contrapositive must be

1. both true or both false
2. both true
3. both false
4. none

Direct and Contrapositive always have same truth value.
Inverse and Converse always have same truth value.
Implication and contrapositive both can same values in truth table and at same time they can be either true of false So

option (A) is correct .
1. $P\rightarrow Q$ // F

2. $Q\rightarrow P$ //Converse of F

3. $\sim P\rightarrow \sim Q$ // Inverse of F

4. $\sim Q\rightarrow \sim P$ // Contrapositive of F

F is actually equivalent to contrapositive of F. So both have the same value. Option A

If you take the converse of F, and apply contraposition to it, you'll find that converse of F is actually equivalent to the inverse of F. They have the same value too.

In other words: 1 is equivalent to 4; 2 is equivalent to 3.