Question 14
MediumOriginal questionWhich of these diagrams correctly shows the relationship among Two-digit numbers, Multiples of 7 and Three-digit numbers?
Show the answer and explanation
Correct answer: B
Explanation
14 is a two-digit multiple of 7, while 10 is two-digit but not a multiple of 7 and 7 is a multiple of 7 with one digit: Two-digit numbers overlaps Multiples of 7.
105 is a three-digit multiple of 7, while 100 is not a multiple of 7 and 1001 has four digits: Three-digit numbers overlaps Multiples of 7.
No number has both two digits and three digits: those two circles do not meet.
So the picture is a chain: the middle circle (Multiples of 7) overlaps both, and the outer two do not meet.
Worth noting
Three mutually overlapping circles would show a number with both two and three digits. Two overlapping circles with a third apart forgets that multiples of 7 also have three digits, such as 105.
- Concept
- Number classes: a chain through a class that meets both
- Typical timeTypical
- 70 s
- Your timeYours
- —
Ten questions from Venn Diagrams, at your own pace.