If A and B are two sets such that A - x - x - N- x is a factor of 20 and B - y - y - N - y is a factor of 30- then find the A-B

Given : A = {1,2,4,5,10,20} B = {1,2,3,5,6,10,15,30} The intersection of two sets A and B, denoted by A∩B, consists of nbsp;all elements that are both in A a ...

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Standard XIII

Mathematics

Intersection of Sets

If A and B ar...

Question

If $A$ and $B$ are two sets such that $A = {x : x \in N, x is a factor of 20}$ and $B = {y : y \in N, y is a factor of 30}$ , then find the $A \cap B$

{1, 2, 4, 5, 10, 20}

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{1, 5, 10, 20}

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{1, 2, 5, 15, 20}

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{1, 2, 5, 10}

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Solution

The correct option is D ${1, 2, 5, 10}$
Given :
$A = {1, 2, 4, 5, 10, 20}$
$B = {1, 2, 3, 5, 6, 10, 15, 30}$

The intersection of two sets $A$ and $B$ , denoted by $A \cap B,$ consists of all elements that are both in $A$ and $B .$
Hence $A \cap B = {1, 2, 5, 10} .$

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If A and B are two sets such that A={x:x∈N,x is a factor of 20} and B={y:y∈N,y is a factor of 30}, then find the A∩B

The correct option is D {1,2,5,10}Given : A={1,2,4,5,10,20} B={1,2,3,5,6,10,15,30} The intersection of two sets A and B, denoted by A∩B, consists of all elements that are both in A and B. Hence A∩B={1,2,5,10}.

If $A$ and $B$ are two sets such that $A = {x : x \in N, x is a factor of 20}$ and $B = {y : y \in N, y is a factor of 30}$ , then find the $A \cap B$

The correct option is D ${1, 2, 5, 10}$
Given :
$A = {1, 2, 4, 5, 10, 20}$
$B = {1, 2, 3, 5, 6, 10, 15, 30}$

The intersection of two sets $A$ and $B$ , denoted by $A \cap B,$ consists of all elements that are both in $A$ and $B .$
Hence $A \cap B = {1, 2, 5, 10} .$