Intersection

Practice Questions

SAT Math › Intersection

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1

Venn 1

In the above Venn diagram, let the universal set be

$U =\left { 1, 2, 3, ...40 \right }$

$A = \left { x | x$ yields a remainder of 1 when divided by 4 $\left \right }$

$B = \left { x | x$ yields a remainder of 1 when divided by 3 $\left \right }$

How many elements of would be placed in the shaded portion of the above diagram?

2

Venn 1

In the above Venn diagram, let the universal set be

$U =\left { 1, 2, 3, ...40 \right }$

$A = \left { x | x$ yields a remainder of 1 when divided by 4 $\left \right }$

$B = \left { x | x$ yields a remainder of 1 when divided by 3 $\left \right }$

How many elements of would be placed in the shaded portion of the above diagram?

3

$Set\ A=\left { 2,4,6,8,10,12 \right }$ and $Set\ B=\left { 5,6,7,8,9 \right }$ .

Find $A\bigcap B$ .

4

$Set\ A=\left { 2,4,6,8,10,12 \right }$ and $Set\ B=\left { 5,6,7,8,9 \right }$ .

Find $A\bigcap B$ .

5

What is the intersection of the Venn Diagram shown below?

Screen shot 2015 10 27 at 3.45.31 pm

6

Set A contains the positive even integers less than 14. Set B contains the positive multiples of three less than 20. What is the intersection of the two sets?

7

We have two sports clubs offered to a class of 100 students. 70 students joined the basketball club, 40 students joined the swimming club, and 10 students joined neither. How many students joined both the swimming club and the basketball club?

8

Set A contains the positive even integers less than 14. Set B contains the positive multiples of three less than 20. What is the intersection of the two sets?

9

What is the intersection of the Venn Diagram shown below?

Screen shot 2015 10 27 at 3.45.31 pm

10

We have two sports clubs offered to a class of 100 students. 70 students joined the basketball club, 40 students joined the swimming club, and 10 students joined neither. How many students joined both the swimming club and the basketball club?

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