A Venn diagram for numbers divisible by both 4 and 5 would have two overlapping circles. One circle would represent numbers divisible by 4, while the other circle would represent numbers divisible by 5. The overlapping region where the two circles intersect would represent numbers divisible by both 4 and 5. This intersection would include numbers that are multiples of both 4 and 5, such as 20, 40, 60, and so on.
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The Venn diagram consists of a rectangle with two concentric circles. In the inner circle are the multiples of 8. In the outer circle are multiples of 4 which are not also multiples of 8. That is, they are 4 times all odd numbers. Mathematically, that is the set of numbers 4*(2n-1) where n is an integer. Outside the circles, are all the integers that are not divisible by 4.
No. If the last two numbers are not divisible by 4, then the number is not divisible by 4.
Odd numbers are not divisible by even numbers.
To find the numbers between 1 and 100 inclusive that are divisible by either 9 or 4, we first determine how many numbers are divisible by 9 and how many are divisible by 4. There are 11 numbers divisible by 9 (9, 18, 27, ..., 99) and 25 numbers divisible by 4 (4, 8, 12, ..., 100). However, we must be careful not to double-count numbers divisible by both 9 and 4 (36, 72). Therefore, the total number of numbers divisible by 9 or 4 between 1 and 100 inclusive is 11 + 25 - 2 = 34.
Since 100/4 = 25, there are 25 numbers between 0 and 100 divisible by 4.