Difference of Two Sets

Q.

Given $U=\{x:x\in N,x\le 9\},$ $A=\{x:x\text{is divisible by 2}\}$ and $B=\{x:\frac{x}{3}\in N\},$ where $U$ is the universal set. Then, $(A\cup B)-(A\cap B)$ = ____.

1. $\{2,3,4,6,8,9\}$

2. $\{2,3,4,8,9\}$

3. $\{3,6,9\}$

4. $\{2,4,6,8\}$

Q.

The operation in which we obtain the elements that are only in set A but not in set B is __________ .

1. B - A

2. A $\cup$ B

3. A - B

4. A + B

Q.

If A = {1, 2, 3, 4, 5, 6} and B = {2, 4, 6, 8}, then the sets A - B and B - A are __________ and ____________ respectively.

1. {1, 3, 5} ; {8}

2. {1, 3, 5} ; {2, 4, 6}

3. {2, 4, 6} ; {2, 4, 6}

4. {1, 5} ; {8}

Q.

Match the following:

Given U is universal set.

A, B are subsets of U.

n(U), n(A), n(B) are the cardinal numbers of U, A and B respectively.

Number of:

1. A - iii, B - iv, C - ii, D- i

2. A - iii, B - iv, C - i, D- ii

3. A - i, B - iv, C - ii, D- iii

4. A - ii, B - iv, C - iii, D- i

Q.

If A={1, 2, 3, 4, 5, 6}, B={1, 2}, then $A-B=C$ . What of the following is true about C?

1. $C\subset A$

2. $C=\varphi$

3. $A=C\cap B$

4. $B=C\cup B$

Q.

For 2 sets A and B, which of the following is/are true always?

1. A - B = {x : x ∈ A and x ∉ B}

2. The sets A - B, A ∩ B and B - A are mutually disjoint sets.

3. A - B = B - A

4. A ∪ B = {x : x ∈ B and x ∉ A}

Q.

A = {3, 6, 9, 12, 15, 18, 21}

B = {2, 4, 6, 8, 10, 12, 14, 16}

C = {5, 10, 15, 20}

Match the following :
$$\begin{array}{cc}A& B\\ 1.B-C& A.\{5,10,20\}\\ 2.A-C& B.\{3,9,15,21\}\\ 3.C-(A-B)& C.\{3,6,9,12,18,21\}\\ 4.C\cap (A-B)& D.\{15\}\\ & E.\{2,4,6,8,12,14,16\}\end{array}$$

1. 1 - E, 2 -C, 3 - D, 4 - A

2. 1 - E, 2 -C, 3 - A, 4 - D

3. 1 - C, 2 -A, 3 -E, 4 - D

4. 1 - C, 2 -A, 3 -D, 4 - E

Q.

If A = Set of whole numbers and B = Set of natural numbers, then A - B = ___.

1. {0}

2. A

3. {1}

4. { }

Q.

In which of the following figures, does the shaded portion show B - A?

1. 

2. 

3. 

4. 

Q.

If A = {2, 4, 6, 8} and B = {1, 2, 3, 4, 5}, then A - B = ______.

1. { }

2. {1, 3, 5}

3. {6, 8}

4. {2, 4}