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Relations & Functions · Question 16 of 125

Question 16

MediumOriginal question

RR is the relation on N\mathbb{N} given by aRba \mathrel{R} b if aa divides bb. Which of these describes RR?

Options for question 16

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Every aa divides itself, and if a∣ba \mid b and b∣cb \mid c then a∣ca \mid c.

  2. 2 divides 4 but 4 does not divide 2, so it is not symmetric.

Worth noting

Divisibility runs one way, from the smaller number to its multiple.

Concept
Testing a relation given by a rule
Typical time
90 s
Your time
—
The rule this testsTypes of relations
Practise this chapter →

Ten questions from Relations & Functions, at your own pace.

Practise this chapter →

Ten questions from Relations & Functions, at your own pace.