Question 13
MediumOriginal questionWhich diagram best represents the relationship among Multiples of 2, Multiples of 3 and Multiples of 5?
Show the answer and explanation
CorrectNot quiteAnswer D
Correct answer: D
Explanation
6 is a multiple of 2 and of 3; 10 is a multiple of 2 and of 5; 15 is a multiple of 3 and of 5: every pair meets.
No class is inside another (4 is not a multiple of 3, 9 is not a multiple of 2, and so on).
30 is a multiple of all three, so the three circles share a common part.
So the picture is three circles, each overlapping the other two.
Worth noting
Three separate circles is the tempting answer if you think of 2, 3 and 5 as 'different numbers'. The classes are multiples, and common multiples exist.
- Concept
- Number classes with common multiples
- Typical timeTypical
- 70 s
- Your timeYours
- —
Practise this chapter →
Ten questions from Venn Diagrams, at your own pace.