If a N=\a n: n ∈ N\ and b N ∩ c N=d N , where a, b, c ∈ N and b, c are coprime, then

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Correct answer: (C) d=b c. We have, b N=\b n: n ∈ N\, c I N=\c n: n ∈ N\ and d N=\d n: n ∈ N\ Also, b c ∈ b N ∩ c N=d N [given] ∴ b c ∈ b N ∩ c N or b c ∈ d D ∴ b c=d [as b and c are coprime]

If $a N=\{a n: n \in N\}$ and $b N \cap c N=d N$, where $a, b, c \in \mathbb{N}$ and $b, c$ are coprime, then

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