🔢 Math & Numbers Trivia
Quiz Set 10 — Logic
Answer all 10 questions. Click an option to see if you got it right!
Question 1 of 10
What is a statement that is always true called?
A tautology is a statement that is true in all possible interpretations.
Question 2 of 10
What does 'if P then Q' mean when P is false?
In logic, a conditional with a false premise is always true (vacuous truth).
Question 3 of 10
What is proof by contradiction?
Proof by contradiction assumes the opposite and derives a logical impossibility.
Question 4 of 10
What is a logical AND called?
A conjunction (AND) is true only when both statements are true.
Question 5 of 10
What is the negation of 'All cats are black'?
The negation is 'There exists at least one cat that is not black.'
Question 6 of 10
What is a syllogism?
A syllogism has two premises and a conclusion, like: All A are B; All B are C; Therefore all A are C.
Question 7 of 10
What is the Barber Paradox about?
The Barber Paradox involves self-referential logic: who shaves the barber?
Question 8 of 10
What does XOR mean?
XOR (exclusive or) is true when exactly one input is true.
Question 9 of 10
What is mathematical induction used for?
Induction proves a statement holds for all natural numbers by proving a base case and inductive step.
Question 10 of 10
A Venn diagram shows what?
Venn diagrams visualize relationships between sets using overlapping circles.