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Question

If aN=ax:N and bNcN=dN, where b,cN are relatively prime, then


A

d=bc

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B

c=bd

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C

b=cd

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D

None of these

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Solution

The correct option is A

d=bc


Explanation for the correct option:

Given,

bN=bx:xN

cN=cx:xN

bNcN= {x:x is multiple of b and c both}

= { x:x is multiple of l.c.m. of b and c}

= { x:x is multiple of bc}

bNcN=bcx:xN=dN bNcN=dN

d=bc

Hence, Option ‘A’ is Correct.


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