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Q.

If the LCM(a,18)=36 and the HCF(a,18)=2, find a.

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a

2

b

3

c

4

d

1 

answer is C.

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Detailed Solution

It is given that the LCM(a,18)=36 and the HCF(a,18)=2.
Product of two numbers=LCM×HCF ⇒a×18=36×2 ⇒a×18=72 ⇒a=7218 ⇒a=4 Therefore, the value of a is 4.
Hence, option 3 is correct.
 
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If the LCM(a,18)=36 and the HCF(a,18)=2, find a.