SAT II Math I : Number Sets
Study concepts, example questions & explanations for SAT II Math I
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Example Questions
Example Question #1 : Number Sets
The above represents a Venn diagram. The universal set 
Let 
As you can see, the three sets divide the universal set into eight regions. Suppose each positive integer was placed in the correct region. Which of the following numbers would be in the same region as 450?
450 ends in a "0" and is therefore a multiple of both 2 and 5. Also, since
450 is a multiple of 3.
Therefore,
We are looking for an element of 
720 is the correct choice.
Example Question #2 : Number Sets
Which of the above numbers does not fit with the rest of the set?
In the above set, four of the numbers are all even 
The only one that is not even, also making it your answer, is 
Example Question #3 : Number Sets
Which pair of number sets have no intersection?
rational and irrational
negative and even
whole and natural
prime and even
integers and natural numbers
rational and irrational
An intersection of two sets is defined as the set of elements that are members of both sets. The correct answer is the pair of sets that has no overlap.
Rationals are defined 
Prime numbers are divisible only by 1 and themselves. Even numbers are defined as integer multiples of 
Natural numbers are the counting numbers, while the integers are all the naturals and their opposites. There are many elements common to both sets, such as 
The negatives are all the integers less than zero. And remember that an even number is defined as any integer multiple of two. Again there are many elements in common including 
The naturals are the counting numbers, while the wholes are all the naturals and zero. These two sets share many elements in common such as 
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