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Venn Diagrams · Question 22 of 65

Question 22

HardOriginal question

Of the four figures, which one matches the way Multiples of 12, Multiples of 2 and Multiples of 3 are related?

Options for question 22

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Every multiple of 12 is a multiple of 2 and of 3: Multiples of 12 lies inside both.

  2. 6 is a multiple of 2 and 3, 4 is a multiple of 2 only, 9 of 3 only: Multiples of 2 and Multiples of 3 overlap.

  3. So two overlapping circles with a small circle inside their common part.

Worth noting

The small circle does not fill the common part (6 and 18 are in it but are not multiples of 12), yet it lies wholly inside it, which is all the diagram claims.

Concept
Containment in the intersection of two classes
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.