Mathematical Reasoning Quiz for Class XI
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Preview questions
1. Which of the following statements is a tautology?
p ∨ ¬p · p ∧ ¬p · p → q · p ↔ q
2. If p is true and q is false, what is the truth value of p → q?
True · False · Undefined · Cannot be determined
3. Which of the following is a contradiction?
p ∨ ¬p · p ∧ ¬p · p → q · ¬(p ∧ q) ↔ (¬p ∨ ¬q)
4. The negation of the statement 'All cats are black' is:
No cats are black · Some cats are not black · All cats are not black · Some cats are black
5. Which of the following represents a valid argument?
If p, then q; p; therefore, q · If p, then q; not q; therefore, not p · p; therefore, q · If p, then q; q; therefore, p
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