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If $d (n)$ represents number of divisors of N. The value of $d [d [d (20)]]$ is

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answer is C.

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Detailed Solution

$20 = 2^{2} \times 5^{1} d (20) = 6 d [d (20)] = d (2 \times 3) = 2 \times 2 d [d (20)] = 2^{2} d [d [d (20)]] = 3$

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