Let A = p and q, B = not(p or q). Then the statement S = (not A) and B is a. F only when p = T and q = T b. none of these c. T only when p = F and q = F d. always F

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Answer:

Based on the given statement, let's break it down.

A = p and q means that both p and q are true.

B = not(p or q) means that neither p nor q is true.

Now, let's look at the statement S = (not A) and B.

If A is true (both p and q are true), then not A is false.

If B is false (neither p nor q is true), then the overall statement S is false.

So, the statement S is always false, regardless of the values of p and q.

Therefore, the correct answer is d. always F.