If q is true, r is false and s is false, what is the truth value of ~s∧(r∨q)?

The given statement is ~s∧(r∨q).

Step 1: Substitute the given values into the statement. We know that q is true, r is false, and s is false. So, the statement becomes ~false∧(false∨true).

Step 2: Evaluate the negation (~). ~false becomes true. So, the statement now is true∧(false∨true).

Step 3: Evaluate the disjunction (∨). false∨true becomes true. So, the statement now is true∧true.

Step 4: Evaluate the conjunction (∧). true∧true becomes true.

So, the truth value of ~s∧(r∨q) is true.