Q.

There exists a natural number N which is 50 times its own logarithm to the base 10, then N is divisible by

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a

5

b

7

c

9

d

11

answer is A.

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Detailed Solution

N=50 log10⁡N⇒ log10⁡N=N50⇒ N=(10)N/50⇒ N1/N=(10)1/50=(10)2/100=(100)1/100∴ N=100
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