If the expansion of ${(x^{2} + \frac{2}{x})}^{n}$ for positive n has a term independent of x, then n can be

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Solution

The correct option is B 18
$^{n} C_{r} 2^{r} . x^{2 n - 3 r} \Rightarrow 2 n - 3 r = 0 \Rightarrow 2 n = 3 r n i s m u l t i l p e o f 3.$

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