Which of the following is a null set?

Important Questions on Set Theory and Relations

MEDIUM

JEE Main/Advance

IMPORTANT

Beta Question Bank for Engineering: Mathematics>Chapter 2 - Set Theory and Relations>EXERCISE-1>Q 22

If $A\subseteq B$, then $A\cap B$ is equal to-

EASY

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IMPORTANT

Beta Question Bank for Engineering: Mathematics>Chapter 2 - Set Theory and Relations>EXERCISE-1>Q 23

If $A$ and $B$ are any two sets, then $A\cup \left(A\cap B\right)$ is

EASY

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IMPORTANT

Beta Question Bank for Engineering: Mathematics>Chapter 2 - Set Theory and Relations>EXERCISE-1>Q 24

If $A$ and $B$ are not disjoint, then $n\left(A\cup B\right)$ is equal to -

EASY

JEE Main/Advance

IMPORTANT

Beta Question Bank for Engineering: Mathematics>Chapter 2 - Set Theory and Relations>EXERCISE-1>Q 25

If $A=\left\{2,4,5\right\}, B=\left\{7,8,9\right\}$ then $n\left(A\times B\right)$ is equal to -

EASY

JEE Main/Advance

IMPORTANT

Beta Question Bank for Engineering: Mathematics>Chapter 2 - Set Theory and Relations>EXERCISE-1>Q 26

Let $A$ and $B$ be two set such that $n\left(A\right)=70$, $n\left(B\right)=60$ and $n\left(A\cup B\right)=110$. Then $n\left(A\cap B\right)$ is equal to -

EASY

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IMPORTANT

Beta Question Bank for Engineering: Mathematics>Chapter 2 - Set Theory and Relations>EXERCISE-1>Q 27

Which set is the subset of all given sets

EASY

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IMPORTANT

Beta Question Bank for Engineering: Mathematics>Chapter 2 - Set Theory and Relations>EXERCISE-1>Q 28

If $Q=${ $x:x=\frac{1}{y}$, where$y\in N$}, then-

EASY

JEE Main/Advance

IMPORTANT

Beta Question Bank for Engineering: Mathematics>Chapter 2 - Set Theory and Relations>EXERCISE-1>Q 29

$A=\left\{x:x\ne x\right\}$ represents-