Difference of Two Sets

Q.

Solve using properties 1/7×2/9-3/14×1/9+2/9×1/14 .

Q.

Divide the sum of the rational number 3/4 and -5/6 by the absolute of their difference

Q. Any number divided by $0$ is $0.$

1. True
2. False

Q.

Use the given diagram to find :

$\left(i\right)A\cup (B\cap C)\left(ii\right)B-(A-C)\left(iii\right)A-B\left(iv\right)A\cap B^{\prime }IsA\cup B^{\prime }=A-B?$

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.

From the given diagram find :

$\left(i\right)A\cup B\left(ii\right)A^{\prime }\cap B\left(iii\right)A-B\left(iv\right)B-A\left(v\right)(A\cup B{)}^{\prime }$

Q. Solve:
$m-\frac{(m-1)}{2}=1-\frac{(m-2)}{3}$

Q.

Evaluate (i) $\left\{\right(\frac{1}{3}{)}^{-1}-(\frac{1}{4}{)}^{-1}{\}}^{-1}$ (ii) $(\frac{5}{8}{)}^{-7}\times (\frac{8}{5}{)}^{-4}$

Q. 68. If root of x/y + root of y/x equals to 10/3 . Then find xy .

Q. $\text{Given below are some points, with their co-ordinates.}$
$P(4,3),Q(-3,2),R(5,1),S(0,-4)$

Q.

If A and B are subsets of a set X, then A - B is ___________ .

1. $A-B=A\cup B$

2. $A-B=A\cap B$

3. $A-B=A^{\prime }\cap B$

4. $A-B=A\cap B^{\prime }$

Q. Solve this:
Q. Using suitable rearrangement and find the sum :
(a) $\frac{4}{7}+\left[\frac{-4}{9}\right]+\frac{3}{7}\left[\frac{-13}{9}\right]$

Q. 3(b-4)=2(4-b)

Q.

Evaluate (i) (ii)

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.

1. -3/2

2. -5/7

3. 2

4. 4

Q.

Fill in the blanks with $>,<$or $=$ sign.

$45-(-11)\_\_\_\_\_\_57+(-4)$

Q.

.

1. 1

2. 3/8

3. -8/3

4. 8/3

Q.

For the given diagram what is A ∩ B and B ∩ C.

1. {1, 3} and {8}

2. {3, 4} and {4}

3. {4} and {3, 4}

4. {3} and {4}

Q. The English logician John Venn represented the relation between food, fruits, and apples as shown in the given diagram. Find the correct Venn diagram that represents the relation between men, fathers, and doctors.


Food Fruits Apples 

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.

Match the following:

Given U is universal set.

A, B are subsets of U.

n(U), n(A), n(B) are no. of elements in U, A, B respectively.

Number of:

(1) Elements neither in A nor in B (A) $n(A\cup B)$

(2) Elements only in A (B)$n\left(B\right)-n(A\cap B)$

(3) Elements only in B (C)$n\left(A\right)-n(A\cup B)$

(4) Elements either in A (or) in B (D)$n\left(U\right)-n(A\cup B)$

(E)$n\left(A\right)-n(A\cap B)$

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

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

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

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

Q. $IfA\propto B,then\frac{A}{B}=constant$.

1. True
2. False

Q. Solve:- 2p+5/3=3p-10

Q.

State whether the given statement is True or False: ${(-3)}^4=-12$

1. True
2. False

Q. If $A-B=\varphi$ and $B-A=\varphi$, then A and B are _________

1. Equal
2. Disjoint
3. Overlapping
4. Equivalent

Q. Which of the following is the $1$'s complement of $10$?

1. $01$
2. $110$
3. $11$
4. $10$
5. None of the above

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.

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.

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