Select the Venn diagram that best represents the relationship between the following classes.
Multiples of 2, Multiples of 3, Multiples of 5
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) →
In a Venn diagram two circles overlap when some members belong to both classes, one circle lies inside another when every member of the first belongs to the second, and circles stay apart when the classes have no common member.
6 is a multiple of 2 and of 3, 10 of 2 and of 5, and 15 of 3 and of 5, so each pair of circles overlaps
30 is a multiple of 2, 3 and 5, so there is a part common to all three circles
Each class also has members of its own (2, 3 and 5 themselves), so no circle lies inside another
All three circles overlap, with a common region, as in Option (4)
