Ordered Pair

Q.

The number of reflexive relations of a set with four elements is equal to

1. $2^{16}$

2. $2$

3. $2^8$

4. $2^4$

Q. If a set $A$ has ${}^{\prime }{n}^{\prime }$ distinct elements, then the number of all relations on $A$ is

1. $2^{n^2}$
2. $n^2$
3. $2^{n^n}$
4. $2^n$

Q. If $A=\left\{\right(a,b,c):a,b,c\text{are prime numbers and}a+b+c=9\}$, then the number of ordered triplets is

Q. If two ordered pairs are related as
$(\frac{a}{4},a-2b)=(0,6+b)$, then $a+b$ is

1. $2$
2. $4$
3. $0$
4. $-2$

Q. If $(p^2-4p+5,2)=(2p-3,|p-2|)$, then the number of values of $p$ is

1. $0$
2. $2$
3. $1$
4. $3$

Q. Let $A=\left\{\right(a,b,c):a,b,c\in N,a^{\left(bc\right)}=64\},$ then the total number of ordered triplets is

Q. If $(p^2-4p+5,2)=(2p-3,|p-2|)$, then the number of values of $p$ is

1. $0$
2. $1$
3. $2$
4. $3$

Q. Let $A=\left\{\right(a,b,c):a,b,c\in N,a^{\left(bc\right)}=64\},$ then the total number of ordered triplets is

Q. For a function $f:A\to B,$ if the number of elements in set $A$ and $B$ are $5$ and $3$ respectively, then the number of one-one function(s) is

Q. If two ordered pairs are related as
$(\frac{a}{4},a-2b)=(0,6+b)$, then $a+b$ is

1. $2$
2. $4$
3. $0$
4. $-2$

Q. If $A=\{x\in R:|x|<2\}$ and $B=\{x\in R:|x-2|\ge 3\}$ then :

1. $A-B=[-1,2]$
2. $B-A=R-(-2,5)$
3. $A\cup B=R-(2,5)$
4. $A\cap B=(-2,-1)$