Set Theory Test...

Let $$A$$ $$=$$ set of all cuboids and B $$=$$ set of all cubes. Which of the following is true?

In Question some relationship have been expressed through symbols as defined below :     (N-83)
     + - x $$\displaystyle\div $$ = > <
     V $$\displaystyle\Lambda $$ ( ) U $$\displaystyle\cap $$ 0
    In question only one of the five relationship is correct Find the correct one and encircle its serial number on the space provided against the question ______________.

Set $$A$$ has $$3$$ elements and set $$B$$ has $$6$$ elements. What can be the minimum number of elements in $$A\cup B$$?

If $$S$$ and $$T$$ are two sets such that $$S$$ has $$21$$ elements, $$T$$ has $$32$$ elements and $$\displaystyle S\cap T$$ has $$11$$ elements, then
find the number of elements in $$\displaystyle S\cup  T$$.

In any continuous class interval table (a-b)

M represents the children in a class who have no brothers and 8 represents the children who have no sisters. $$+$$ denotes union, $$*$$ denotes intersection, and $$(^\prime)$$ denotes complement. The set of children who have no siblings is

Which of the following sets is finite?

Which of the following has only one subset?

In a community of $$  175$$ persons, $$40$$ read TOI, $$50$$ read the Samachar Patrika and $$100$$ do not read either. How many persons read both the papers?

$$(A\cup B)'$$