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  4. If X = x: x ∈ N Y = 2x: x ∈ N and Z = 5x: x ∈ N then X ∩ Y ∩ Z is equal to

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Q. If $X = \{x: x \in N\}$, $Y = \{2x : x \in N\}$ and $Z = \{5x : x \in N\}$ then $X \cap Y \cap Z$ is equal to

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Solution:

$X \cap Y \cap Z = $ L.C.M. of $(x, 2x, 5x) = 10x\, \forall\, x \in N$