Sets quiz 1

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}

Answer explanation

Equivalent sets have equal number of elements but not the same elements .

If Q = { a,b,c,d,e} how many subsets can be obtained from the set Q? 

Item 3 refers to the following Venn diagram 

In the Venn diagram above 

U= { students who play games } 

H ={ students who play hockey } 

V= {students who play volleyball } 

The number of students in each set is indicated.  

How many student do NOT play volleyball? 

• 2

• 3

• 5

• 8

Item refers to the following diagram 

The two circles above represent set P and set Q . 

If P= { factors of 6 } and Q= { factors of 4 } , 

then the shaded region represents 

• { }

• {1,2}

• { 4, 6, 8 ,.....}

• {12,24,36...}

Of a class of 32 students , 17  study Music and 20 study Art . What is the LEAST number of students who could study BOTH Music and ART ? 

• 3

• 5

• 12

• 15

In the figure above , P represents  the set of multiples of 4 . Q represents the set of multiples of 5 . The shaded region is the set of all multiples of 

• 8

• 9

• 10

• 20

In the Venn diagram above, the shaded region represents 

• Q`

• R`

In the Venn diagram above , n(P) = 5 , 

n(Q) = 9 and n(P∪Q) = 10 

What is n(P∩Q) ?

• 4

• 6

• 14

• 24

Item 9 refers to the Venn diagram below . 

In the Venn diagram above , the shaded area represents 

• P`

P and Q are two finite sets such that n(P) =7 , and n(Q) = 5 and n(P ∩Q) =3 .What is n(P ∪Q) ?

• 6

• 9

• 15

• 18