Difference of Two Sets

Q. If $A$ and $B$ are disjoint sets, then $A-B=$ and $B-A=$.

1. $A$
2. $B$
3. $\varphi$
4. $\left\{0\right\}$

Q. If A={a, b, c, d} and B={a, b, c}, then find the set (A-B).

Q. If A and B are two disjoint sets, then prove that their difference i.e. (A-B) and (B-A) are also disjoint sets.

Q.

Given $U=\{x:x\in N,x\le 9\}$, $A=\{x:xisdivisibleby2$} and B $=\{x:\frac{x}{3}\in N\}$, then (A $\cup$ B) - (A $\cap$B) = ___.

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

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

3. {C}

4. {2, 4, 6, 8}

Q. If $A$ and $B$ be two sets such that $n\left(A\right)=15,n\left(B\right)=25$, then number of elements (symmetric difference of $A$ and $B$)

1. $31$
2. $26$
3. $16$
4. $40$

Q. If $A=\{3,6,9,12,15,18,21\};B=\{4,8,12,16,20\}$
$C=\{2,4,6,8,10,12,14,16\};D=\{5,10,15,20\}$; find
(i) $A-B$ (ii) $B-A$ (iii) $C-A$ (iv) $D-A$
(v) $B-C$ (vi) $B-D$ (vii) $C-B$ (viii) $D-B$

Q. Let $A$ and $B$ are two finite sets such that $n\left(A\right)=3$ and $n\left(B\right)=4$ then the number of elements in $A\Delta B$.

1. $2$
2. $7$
3. $5$
4. can not be determined

Q. If A and B be two sets such that n(A) = 15, n(B) =25, then number of possible values of $n\left(A\Delta B\right)$(symmetric difference of A and B) is

1. 30
2. 16
3. 26
4. 40

Q.

Venn diagram representation of A - B for two sets A and B is________.

1. 

2. 

3. 

4. 

Q. If $A=\{a,b,c,d\}$ and $B=\{a,b,c\}$, then $A-B=$_____.

1. {a-a, b-b, c-c, d}
2. $\varphi$
3. {d}
4. None of the above

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

1. True
2. False

Q. $A-(B\cap C)$= _______

1. $(A-B)\cup C$
2. $(A-B)\cap C$
3. $(A-B)\cup (A-C)$
4. $(A-B)\cap (A-C)$

Q. If the powers are different and base is also different. what will be the product?

Q. $A\cup B=A\cap B$ if and only if

1. A is an empty set
2. B is an empty set
3. Both A and B are empty sets
4. Both A and B are non-empty sets

Q. If $A=\{a,b,c,d\}$ and $B=\{a,b,c\}$, then $A-B=$.

1. $\varphi$
2. $\{a-a,b-b,c-c,d\}$
3. $\left\{d\right\}$

Q. A.M. of any $n$ positive numbers $a_1,a_2,a_3,....,a_n$ is $A$ then $A=\frac{a_1+a_2+....+a_n}{n}$

1. True
2. False

Q. If A={a, b, c, d} and B={a, b, c}, then find the set (A-B).

Q. If $V=\{a,e,i,o,u\}$ and $B=\{a,i,k,u\}$, then find $V-B$ and $B-V$. Are they equal?

Q. $\frac{4.4}{2}$=2

1. True
2. False

Q.

compare the absolute value of the rational numbers in the following pairs:

(a)3/-7, -3/7 (b)-5/7, 4/3 (c)-4/5, -3

Q. Subtract:
$-3012$ from $6250$

Q. For any sets $A$ and $B$. prove that:
$A\cup (B-A)=A\cup B$

Q. State, which of the following sets are finite and which are infinite:
$B=\{x:x\in Wand5x-3\le 20\}$

Q. $\frac{4.4}{2}$=2

1. False
2. True

Q. If $U=\{1,2,3,4,5,6,7,8,9\},A=\{1,2,3,4\},B=\{2,4,6,8\}$ and $C=\{1,4,5,6\}$, find :
$(B-C{)}^{\prime }$

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

1. True
2. False

Q. Find the symmetric difference between the following sets.
(i) $X=\{a,d,f,g,h\},Y=\{b,e,g,h,k\}$
(ii) $P=\{x:3<x<9,x\in N\},Q=\{x:x<5,x\in W\}$
(iii) $A=\{-3,-2,0,2,3,5\},B=\{-4,-3,-1,0,2,3\}$

Q. The sum of 2 rational numbers is -4/3. If on of them is -5, find the others.

Q. A synonym of ANNEX is:

1. Add
2. Low
3. Copy
4. Initial

Q. If $A=\{xϵC:x^2=1\}$ and $B=\{xϵC:x^4=1\}$, then $A\Delta B$ is equal to

1. $\{-1,1,i,-i\}$
2. None of these
3. $\{-1,1\}$
4. $\{-i,i\}$