GMAT Quantitative Reasoning - Sets

1

Venn_1

In the above Venn diagram, universal set represents the residents of Wayne. The sets represent the set of all teenagers, those with an even birth month, and males, respectively.

Cary is a resident of Wayne. Is Cary a male?

Statement 1: Cary is a teenager.

Statement 2: Cary does not have an even birth month.

2

Let universal set be the set of all people. Let represent Holly.

Let be the set of people who like The Eagles, , the set of people who like Bruce Springsteen, and , the set of people who like Crosby, Stills, and Nash.

True or false: Holly likes The Eagles.

Statement 1: $h \in A ' \cap B '$

Statement 2: $h \in A ' \cup C$

3

Let universal set be the set of all people. Let represent Gina.

Let be the set of all people who like cheddar cheese. Let be the set of all people who like Swiss cheese.

True or false: $g \in C' \cap S$ .

Statement 1: Gina likes cheddar cheese.

Statement 2: Gina does not like Swiss cheese.

4

Let universal set be the set of all people. Let represent Phillip.

Let be the set of people who like Neil Young, , the set of people who like Prince, and , the set of people who like Marvin Gaye.

True or false: Phillip does not like Neil Young, Prince, or Marvin Gaye.

Statement 1: $p \in A' \cap B' \cap C'$

Statement 2: $p \in (A \cup B \cup C)'$

5

Two of the courses from which the 98 freshmen at a high school may choose are French and Creative Writing.

How many freshmen enrolled in neither course?

Statement 1: 10 freshmen enrolled in both courses.

Statement 2: 21 freshmen enrolled in each course.

6

Every Beep is a Deep. Every Deep is a Meep. No Veep is a Deep.

Is Harpy a Veep?

Statement 1: Harpy is a Meep.

Statement 2: Harpy is a Beep.

7

No Fee is a Fi. No Fi is a Fo. No Fo is a Fum.

True or false: Jack is a Fum.

Statement 1: Jack is not a Fo.

Statement 2: Jack is not a Fi.

8

Venn_1

In the above Venn diagram, universal set represents the residents of Belleville. The sets represent the set of all Toastmasters, Elks, and Masons, respectively.

Marty is a resident of Belleville. Is he an Elk?

Statement 1: Marty is neither a Mason nor a Toastmaster.

Statement 2: Marty belongs to exactly one of the three groups.

9

Venn_1

In the above Venn diagram, universal set represents the residents of Jacksonville. The sets represent the set of all Toastmasters, Elks, and Masons, respectively.

Jimmy is a resident of Jacksonville. Is Jimmy a Mason?

Statement 1: Jimmy is not a Toastmaster.

Statement 2: Jimmy is not an Elk.

10

Two of the courses from which the 106 freshmen at Jefferson Academy may choose are American literature and German.

How many freshmen enrolled in both courses?

Statement 1: 19 freshment enrolled in German.

Statement 2: 21 freshmen enrolled in American literature.

Sets

Practice Questions