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 If aN = {ax/x ∈ N} and bN ∩ cN = dN Where b, c ∈ N are relatively prime then 


 (a) d = bc        (b) c = bd        (c) b = cd        (d) a = bd

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(a) d = bc 

 aN = {ax/x ∈ N}
 bN = {bx/x ∈ N} = the set of positive integers multiple of b 
 cN = {cx/x ∈ N} = the set of positive integers multiple of c. 
 ∴ bN ∩ cN = the set of positive integers multiple of bc. 
 ∴ bN ∩ cN = bcN(∵ b and c are prime) given – bN ∩ cN = dN 

 hence d = bc.
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