SETS - FULL CHAPTER

Which of the following is true?

• $A\cap\phi=A$

• $A\cap\phi=\phi$

• $A\cap U=\phi$

• $A\cap\phi=A'$

Let A = { x : x is a multiple of 3} and

B = { x : x is a multiple of 5}.

Then, A ∩ B is given by :

• {3, 6, 9, ...}

• {5, 10, 15, 20, ...}

• {15, 30, 45, ...}

• NONE OF THESE

Let A and B be two sets, such that A ∪ B = A.

Then A ∩ B is equal to :

• $\phi$

• B

• A

• none of these

Two finite sets have m and n elements. The total number of subsets of the first set is 48 more than the total number of subsets of the second set. The value of m and n are :

• m = 7, n = 6

• m = 6, n = 3

• m = 6, n = 4

• m = 7, n = 4

 If A and B are two sets, then  $A\cap\left(A\cup B\right)=$ 

• A

• B

•  $\phi$  

•  $A\cap B$  

For all sets A and B, A – (A $\cap$  B) is equal to ______________.

• A - B

• B - A

• A

• B

Let A = { 1, 2, { 3, 4 }, 5 }. Is $\left\{3,\ 4\right\}\in A$  

• TRUE

• FALSE

 $\left\{a\right\}\in\left\{a,\ b,\ c\right\}$  

• TRUE

• FALSE