Sets - Quick Review Test 1

P = {factors of 15} and Q = {factors of 20}

The HCF of 15 and 20 can be describes as the set

• P

• Q

• P $\cup$ Q

• P $\cap$ Q

If P = {2, 3, 5, 7}, Q = {2, 3, 6} and S = {2, 4, 5}, then P $\cap$  Q $\cap$  S =

• {  }

• { 2 }

• {2, 3}

• {2, 3, 4, 5, 6, 7}

Which of the following sets is equivalent to (a, b, c, d}?

• 4

• (a, b, c}

• {p, q, r, s}

• {1, 2, 3, 4, 5}

P and Q are two finite sets such that n(P) = 7, n(Q) = 5 and n(P $\cap$ Q) = 3.  What is n(P $\cup$ Q) ? 

• 6

• 9

• 15

• 18

In a class of 32 students, 17 study Music and 20 study Art. What is the LEAST number of students who are studying BOTH Music and Art?

• 3

• 5

• 12

• 15

If P = {a, b, c} then the number of subsets of P is

• 8

• 6

• 4

• 3

If P = {factors of 6} and Q = {factors of 4} then P $\cap$ Q is the set 

• {  }

• {1, 2}

• {4, 6, 8, ...}

• {12, 24, 36, ...}

P = {prime numbers} Q = {odd numbers} R = {even numbers}

Which of the following sets is empty?

• P $\cap$ R

• Q $\cap$ R

• P $\cap$ Q

• P $\cup$ Q

n(P) = 5, n(Q) = 9 and n(P $\cup$ Q) = 10.  What is n(P $\cap$ Q) ?  

• 4

• 6

• 14

• 24

Given that P = {2, 3, 5, 6} and Q = {2, 3, 4} then P $\cup$ Q is described as 

•  $\left\{x:\ 1\le x\le7\ ;\ x\ \in\ N\right\}$  

•  $\left\{x:\ 1<x<7\ ;x\ \in\ N\right\}$  

•  $\left\{x:\ 2\le x<6\ ;\ x\in\ N\right\}$  

•  $\left\{x:\ 2<x<6\ ;\ x\ \in\ N\right\}$