Cartesian Product in 3D

Q. If $A=\{1,2,3\}$ and $B=\{3,8\},$ then
$(A\cup B)\times (A\cap B)$ is

1. $\left\{\right(3,1),(3,2),(3,3),(3,8\left)\right\}$
2. $\left\{\right(1,2),(2,2),(3,3),(8,8\left)\right\}$
3. $\left\{\right(1,3),(2,3),(3,3),(8,3\left)\right\}$
4. $\left\{\right(8,3),(8,2),(8,1),(8,8\left)\right\}$

Q.

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

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

C = {5, 10, 15, 20}, then 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 $A\subseteq B$, prove that $A\times C=B\times C$.

Q. Let $A=\{1,2,3,4,5\},B=\{2,3,6,7\}.$ Then the number of elements in $(A\times B)\cap (B\times A)$ is

1. $6$
2. $4$
3. $0$
4. $18$

Q.

A = {1, 2, 3}, B = {2, 3, 4}, C = {4, 5}. Find (A $\cap$ B) $\times$ C.

Q. If $A=\{5,7\},B=\{7,9\}$ and $C=\{7,9,11\},$ find $A\times (B\cup C)$

1. $\left\{\right(5,7),(5,9),(5,11),(7,7),(7,9),(7,11\left)\right\}$
2. $\left\{\right(5,5),(5,9),(5,11),(7,7),(7,9),(7,11\left)\right\}$
3. none of these
4. $\left\{\right(5,7),(9,9),(5,11),(7,7),(7,9),(7,11\left)\right\}$

Q. If $A=\{x,y\}$ and $B=\{3,4,5,7,9\}$ and $C=\{4,5,6,7\}$, find $A\times (B\cap C)$

1. $\left\{\right(x,3),(x,5),(x,7),(y,4),(y,5),(y,7\left)\right\}$
2. $\left\{\right(x,4),(x,5),(x,7),(y,4),(y,5),(y,7\left)\right\}$
3. $\left\{\right(x,4),(x,5),(x,7),(y,4),(y,5),(y,9\left)\right\}$
4. none of the above

Q. What will be the antilog of 3.8420+0.1656

Q. If $A=\{2,3,5\},B=\{2,5,6\}$, then $(A-B)\times (A\cap B)$ is

1. $noneofthese$
2. $\left\{\right(3,2),(3,5),(3,6\left)\right\}$
3. $\left\{\right(3,2),(3,3),(3,5\left)\right\}$
4. $\left\{\right(3,2),(3,5\left)\right\}$

Q.

For universal set $\cup$, and sets A, B which are subsets of $\cup$, the following information is given

n(U) = 47

n(A) = 18

n(B) = 11, n(A $\cap$ B) = 10

Then, the number of elements that are neither in A nor B is_____

___

Q. If $A=\{a,b,c\},B=\{c,d,e\},C=\{a,d,f\}$, then $A\times (B\cup C)$ is

1. $\{(a,d),(a,e),(a,c)\}$
2. $\{(a,d),(b,d),(c,d)\}$
3. $\{(d,a),(d,b),(d,c)\}$
4. none of these

Q. If A={1, 2, 3}, B={3, 4}, C={4, 5, 6}. Find $A\times (B\cap C)$

Q. If $A=\{1,2\}$.Find $A\times A\times A$

Q. If $A=\{2,4\}$ and $B=\{3,4,5\},$ then
$(A\cap B)\times (A\cup B)$ is

1. $\left\{\right(2,2),(3,4),(4,2),(5,4\left)\right\}$
2. $\left\{\right(2,3),(4,3),(4,5\left)\right\}$
3. $\left\{\right(2,4),(3,4),(4,4),(4,5\left)\right\}$
4. $\left\{\right(4,2),(4,3),(4,4),(4,5\left)\right\}$

Q. If $A=\{3,4\},B=\{4,5\}$ and $C=\{5,6\}$, find $A\times (B\times C)$.

Is the answer: $\left\{\right(3,4,5),(3,4,6),(3,5,5),(3,5,6),(4,4,5),(4,4,6),(4,5,5),(4,5,6\left)\right\}$
If yes then enter $1$ else $0$

Q. If $A=\{1,2\}$, from the set $A\times A\times A$.