Practice Disjunctive Syllogism - 4.1.4.4 | 4. Rules of Inference | Discrete Mathematics - Vol 1
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

If I say 'It is either snowing or sunny' and it is not snowing, what can we conclude?

💡 Hint: Use the structure of disjunctive syllogism.

Question 2

Easy

If the statement is 'A dog or a cat is outside' and I know the dog is not outside, what can I conclude?

💡 Hint: Look at the disjunction.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

If 'p or q' is true and '¬p' is true, what can we conclude?

  • p is true
  • q is true
  • Both p and q are false

💡 Hint: Think about the nature of the disjunction.

Question 2

The statement 'If p, then q' represents what type of argument?

  • True
  • False

💡 Hint: Recall your definitions.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Create a complex logical statement using disjunctions and demonstrate its validity using Disjunctive Syllogism.

💡 Hint: Incorporate multiple premises and show negation.

Question 2

Analyze this argument: If either x is true or y is true, but x is false, then what can we conclude about y?

💡 Hint: Apply Disjunctive Syllogism directly.

Challenge and get performance evaluation