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Venn Diagrams · Question 21 of 65

Question 21

HardOriginal question

Which diagram best represents the relationship among Odd numbers, Multiples of 6 and Multiples of 3?

Options for question 21

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Every multiple of 6 is a multiple of 3: Multiples of 6 sits inside Multiples of 3.

  2. 9 is odd and a multiple of 3; 5 is odd but not a multiple of 3; 6 is a multiple of 3 but not odd: Odd numbers overlaps Multiples of 3.

  3. Every multiple of 6 is even, so no odd number is a multiple of 6: Odd numbers misses the small circle.

  4. So a small circle inside a larger one, with a third circle overlapping the larger circle only.

Worth noting

Two separate circles inside Multiples of 3 would put every odd number inside Multiples of 3, but 5 and 7 are odd and not multiples of 3.

Concept
Number classes: containment plus a partial overlap
Typical time
120 s
Your time
—
The rule this testsWhich diagram fits
Practise this chapter →

Ten questions from Venn Diagrams, at your own pace.

Practise this chapter →

Ten questions from Venn Diagrams, at your own pace.