| p: A tumbler is half empty. |
| q: A tumbler is half full. |
| The, the combination form of 'p if and only if q'? is |
A) A tumbler is half empty and half full
B) A tumbler is half empty if and only if it is hatful
C) Both (a) and (b)
D) None of the above
Correct Answer: B
Solution :
[b] The given statements are p: A tumbler is half empty. q: A tumbler is half full. We know that, if the first statement happens, then the second happens and also if the second happens, then the first happens. We can express this fact as If a tumbler is half empty, then it is half full. If a tumbler is half full, then it is half empty. We combine these two statements and get the following. A tumbler is half empty, if and only if it is half full.
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