Let A - x - x - N- x is a multiple of 2 B - x - x - N- x is a multiple of 5 C - x - x - N- x is a multiple of 10 The set A- B - C is equal to-

The correct option is D C Given A = { 2, 4, 6, 8, 10, 12, 14,...} #160; #160;B = {5, 10, 15, 20, 25,...} C = {10, 20, 30, 40, ...} ...

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Byju's Answer

Standard X

Mathematics

Formula for Sum of n Terms of an AP

Let A = x |...

Question

Let $A = {x | x$ $\in$ $N$ , $x$ is a multiple of 2 $}$
$B = {x | x$ $\in$ $N$ , $x$ is a multiple of 5 $}$
$C = {x | x$ $\in$ $N$ , $x$ is a multiple of 10 $}$
The set $(A \cap B) \cap C$ is equal to:

A

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A \cap C

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B

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C

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Solution

The correct option is D $C$
Given A = ${2, 4, 6, 8, 10, 12, 14, . . .}$
B = ${5, 10, 15, 20, 25, . . .}$
C = ${10, 20, 30, 40, . . .}$
$\Rightarrow$ $A \cap B$ = ${10, 20, 30, . . .}$
( $A \cap B$ ) $\cap C =$ ${10, 20, 30, . . .}$ = C

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Let A={x|x ∈ N, x is a multiple of 2} B={x|x ∈ N, x is a multiple of 5} C={x|x ∈ N, x is a multiple of 10}The set (A∩B)∩C is equal to:

The correct option is D CGiven A = {2,4,6,8,10,12,14,...} B = {5,10,15,20,25,...}C = {10,20,30,40,...}⇒A∩B = {10,20,30,...} (A∩B) ∩C= {10,20,30,...} = C

Let $A = {x | x$ $\in$ $N$ , $x$ is a multiple of 2 $}$
$B = {x | x$ $\in$ $N$ , $x$ is a multiple of 5 $}$
$C = {x | x$ $\in$ $N$ , $x$ is a multiple of 10 $}$
The set $(A \cap B) \cap C$ is equal to:

The correct option is D $C$
Given A = ${2, 4, 6, 8, 10, 12, 14, . . .}$
B = ${5, 10, 15, 20, 25, . . .}$
C = ${10, 20, 30, 40, . . .}$
$\Rightarrow$ $A \cap B$ = ${10, 20, 30, . . .}$
( $A \cap B$ ) $\cap C =$ ${10, 20, 30, . . .}$ = C