The universal set represented by the above Venn diagram is the set of all natural numbers from to inclusive.

The subsets are:

: The set of all multiples of

: The set of all multiples of

: The set of all multiples of

How many elements are in the set represented by the shaded region?

Examine the above Venn diagram. The universal set is defined to be , with each element placed in its correct region in the diagram. What is ?

In the above Venn diagram, the universal set is the set of Presidents of the United States.

represents the set of Presidents who were born after 1850.

represents the set of Presidents who were born in a state completely west of the Mississippi River.

represents the set of Presidents who served eight years or more.

Which of the following Presidents would fall in the pink region?

Examine the above Venn diagram. The universal set is defined to be , with each element placed in its correct region in the diagram. What is ?

The above Venn diagram represents all of this year's graduating seniors at Rockwell High School, the universal set .

represents all of the students who are in the National Honor Society.

represents all of the students who became old enough to vote in the November 5 election during their senior year.

represents all of the students who enrolled in a French course during senior year.

Cathy was inducted into the National Honor Society in her junior year, and is still a member. She turned 18 on January 4 during her senior year, and she is carrying a respectable B average in her school's third-year French course. If her name were to be written in the above diagram in the correct place, in which of the five numbered regions would her name fall?

The above represents a Venn diagram. The universal set is the set of all positive integers.

Let represent the set of multiples of 7; let represent all of the multiples of 11; let represent all of the multiples of 13. 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 2,431?

The universal set represented by the above Venn diagram is the set of all natural numbers from 1 to 1,000 inclusive.

The subsets are:

: The set of all multiples of

: The set of all multiples of

: The set of all multiples of

How many elements are in the set represented by the shaded region?

A group of high school juniors are taking Biology, Calculus, and Spanish as shown above. Which student is not in the set ?

Giving the Venn diagram above, what is the sum of the numbers in the set ?

Given the Venn diagram below, which of the following does not belong to ?