Q. Let $A=\{n \in N:$ H.C.F. $(n, 45)=1\}$ and Let $B=\{2 k: k \in\{1,2, \ldots, 100\}\}$. Then the sum of all the elements of $A \cap B$ is ____

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A

B

C

D

Solution:

Questions from JEE Main 2022

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where [ $t$ ] denotes greatest integer $\leq t$. If $m$ is the number of points where $f$ is not continuous and $n$ is the number of points where $f$ is not differentiable, then the ordered pair $( m , n )$ is :

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Questions from Sets

1. Which of the following sets are disjoint? $$ \begin{array}{l} A=\{\text { Multiples of } 3\} \\ B=\{\text { Multiples of } 5\} \\ C=\{\text { Multiples of } 7\} \end{array} $$

2. If $\mu=\{1,2,3,5,6,7\}, A=\{1,2,3\}$ and $B=\{2,6$, 7\}, then $(A \cap B)^c=$ ?

3. If $A \supset B$, then the illustration of $A-B$ in a Venn diagram is

4. If $A=B^{\prime}$, then $(A \cap B)^{\prime}$ is

5. If $A^{\prime}=\left(B^{\prime}\right)^{\prime}$, then $(A \cup B)^{\prime}$ is

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