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Questions › DSE › DSE 2006 › Q53
2 marksMathematics › Logic and proof techniques › Quantifiers and their negationHardabout 3 min

DSE 2006 Question 53: Logic and proof techniques

Consider the following claim: 'There is some general election and some party such that all the candidates of that party in that election are honest.' If this claim is false, then which of the following statements must be true?

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Logic and proof techniques has come up 73 times in 3 exams since 2004.

What this question tests

This question is on Quantifiers and their negation, part of Logic and proof techniques in Mathematics.

Statements with 'for all' and 'there exists', and how they change when negated or reordered.

TestStop has 6 past-paper questions on this subtopic.

Practise Logic and proof techniquesMore on Quantifiers and their negation

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Question from the DSE 2006 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.