Sets Test - 34...

The total number of subsets of {1, 2, 6, 7} are?

If U = {1, 3, 5, 7, 9, 11, 13}, then which of the following are subsets of U. 
B = {2, 4} 
A = {0}
C = {1, 9, 5, 13}
D = {5, 11, 1} 
E = {13, 7, 9, 11, 5, 3, 1} 
F = {2, 3, 4, 5} 

If $$S$$ is a set with $$10$$ elements and $$A = \left \{(x, y) : x, y\epsilon S, x\neq y\right \}$$, then number of elements in $$A$$ is

Let $$A$$ and $$B$$ be two events such that $$P\left( \overline { A\cup B }  \right) =\dfrac { 1 }{ 6 } ,$$ $$P\left( A\cap B \right) =\dfrac { 1 }{ 4 } $$ and $$P\left( \overline { A }  \right) =\dfrac { 1 }{ 4 } $$, where, $$\overline { A } $$ stands for complement of event $$A$$. Then, event $$A$$ and $$B$$ are

If $$A=\left\{ a,b,c \right\} ,$$ $$B=\left\{ b,c,d \right\} $$ and $$C=\left\{ a,d,c \right\} $$, then $$\left( A-B \right) \times \left( B\cap C \right) $$ is equal to

$$ A={1 , 11 , 21 , 31 ,....... , 541 , 551}$$. B is a subset of A such that $$ x+y\neq552$$ , for any $$x , y \epsilon B.$$ The maximum number of elements in B is

Let $$A,B$$ and $$C$$ be three events such that $$P(A)=0.3,P(B)=0.4,P(C)=0.8,P(A\cup B)=0.08,\quad P(A\cap C)=0.28,P(A\cap B\cap C)=0.09$$. If $$P(A\cup B\cup C)\ge 0.75$$, then $$P(B\cap C)$$ satisfies

If $$a, b, c, d$$ are four distinct numbers chosen from the set $$\left \{1, 2, 3, ..., 9\right \}$$, then the minimum value of $$\dfrac {a}{b} + \dfrac {c}{d}$$ is

Let $$S = \left \{(a, b): a, b\epsilon Z, 0\leq a, b\leq 18\right \}$$. The number of elements $$(x, y)$$ in $$S$$ such that $$3x + 4y + 5$$ is divided by $$19$$ is

The relation R defined on set A = {1, 2, 3, 4, 5} is defined by R = $${(x, y): |x^2 - y^2| > 4}$$. Which of the following could be the range of relation R?