Choose the correct Venn diagram for these three classes of numbers: Multiples of 3, Even numbers, Multiples of 4.

A small circle inside a larger circle, and a third circle overlapping both of them

Correct answerYour answerTwo separate circles inside a larger circle

Correct answerYour answerTwo overlapping circles inside a larger circle

Correct answerYour answerA small circle inside a larger circle, and a third circle overlapping the larger circle only

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

Every multiple of 4 is even: Multiples of 4 sits inside Even numbers.
6 is even and a multiple of 3, while 3 is not even and 2 is not a multiple of 3: Multiples of 3 overlaps Even numbers.
12 is a multiple of both 3 and 4, and 8 and 9 each belong to only one: Multiples of 3 overlaps Multiples of 4 as well.
So a small circle inside a larger one, with a third circle overlapping both.

Worth noting

Missing 12 leads to the picture where the third circle touches only the larger circle. Always test a common multiple (here 12, the LCM).

Ten questions from Venn Diagrams, at your own pace.

Explanation