If LCM(x, 18) = 36 and HCF(x, 18)

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Solution

Q.
If LCM(x, 18) = 36 and HCF(x, 18) = 2, then x is:

1 2

2 3

3 4

4 5

Ans.
(3)

$G i v e n L C M (x, 18) = 36 a n d H C F (x, 18) = 2 ∴ L C M (x, 18) \times H C F (x, 18) = x \times 18 \Rightarrow 36 \times 2 = x \times 18 \Rightarrow x = (36 \times 2) \div 18 = 4$

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