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Questions › JNU › JNU SSS 2018 › Q47
5 marksMathematics › Logic and proof techniques › Proof techniquesHardabout 10 min

JNU SSS 2018 Question 47: Logic and proof techniques

Let D=a2+b2+c2D = a^2 + b^2 + c^2D=a2+b2+c2, where aaa and bbb are successive positive integers and c=abc = abc=ab. Prove that D\sqrt{D}D​ is an odd positive integer.

Answer and worked solution

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Plain-text version

Let D = a² + b² + c², where a and b are successive positive integers and c = ab. Prove that √D is an odd positive integer.

Also written as: Let D = a^2 + b^2 + c^2, where a and b are successive positive integers and c = ab. Prove that sqrt(D) is an odd positive integer.

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

What this question tests

This question is on Proof techniques, part of Logic and proof techniques in Mathematics.

The standard ways to prove or disprove a claim.

TestStop has 3 past-paper questions on this subtopic.

Practise Logic and proof techniquesMore on Proof techniques

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Question from the JNU SSS 2018 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.