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Question
Choose the correct alternative:
Which one of the following is not true?
Options
Negation of a statement is the statement itself
If the last column of the truth table contains only T then it is a tautology
If the last column of its truth table contains only F then it is a contradiction
If p and q are any two statements then p ⟷ q is a tautology
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Solution
If p and q are any two statements then p ⟷ q is a tautology
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The truth table for (p ∧ q) v ¬q is given below
| p | q | (p ∧ q) v ¬q |
| T | T | (a) |
| T | F | (b) |
| F | T | (c) |
| F | F | (d) |
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Choose the correct alternative:
Which one of the following is incorrect? For any two propositions p and q, we have
Choose the correct alternative:
The dual of ¬(p v q) v [p v(p ∧ ¬r)] is
Choose the correct alternative:
The proposition p∧(¬p∨q)] is
Choose the correct alternative:
Determine the truth value of each of the following statements:
(a) 4 + 2 = 5 and 6 + 3 = 9
(b) 3 + 2 = 5 and 6 + 1 = 7
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