These University logic, sets and proof techniques multiple choice questions check your understanding of logic, sets and proof techniques with 10 questions for pupils aged 18-19. Each question has four answers, and the right one is explained as soon as you choose.
University logic, sets and proof techniques multiple choice questions: the 10 questions
The negation of \(\forall x\,(x>2)\) is
The contrapositive of \(P\Rightarrow Q\) is
\(P\Rightarrow Q\) is false exactly when
\((A\cup B)^c\) equals
The number of subsets of a 5-element set is
The function \(f(x)=x^2\) on \(\mathbb R\) is
To prove that \(\sqrt2\) is irrational one usually uses
The inductive step assumes
Which is a counterexample to “every prime is odd”?
An equivalence relation must be
How to use these University logic, sets and proof techniques multiple choice questions
First, read each question carefully before you look at the four answers. Then work the answer out on paper, so that you do not simply guess. After that, read the explanation, even when you are right. If you score less than 7 out of 10, go back to the logic, sets and proof techniques lesson.
Finally, practise more with the logic, sets and proof techniques worksheet and the quiz. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.


















