Complement

Q.

The set $(A\cap B^{\prime }{)}^{\prime }\cup (B\cap C)$ is equal to

1. $A^{\prime }\cup B\cup C$

2. $A^{\prime }\cup B$

3. $A^{\prime }\cup C^{\prime }$

4. $A^{\prime }\cap B$

Q. If in a class of $100$ students, $60$ like mathematics, $72$ like physics, $68$ like chemistry and no student likes all three subjects, then the number of students who don't like mathematics and chemistry is

Q.

${\left[\right(A^{\prime }\cup B^{\prime })-A]}^{\prime }$=___

1. A

2. B

3. B - A

4. A - B

Q. In a class of $100$ students, $60$ like mathematics, $72$ like physics, $68$ like chemistry and no student likes all three subjects. Then number of students who don't like mathematics and chemistry is

Q. If $X$ and $Y$ are two sets, then $X\cap (X\cup Y{)}^c$ equals:

1. None of these
2. $Y$
3. $\varphi$
4. $X$