There exists a natural number `N` which is 50 times its own logarithm to the base 10, then `N` is divisible by 5 (b) 7 (c) 9 (d) 11
There exists a natural number `N`
which is 50 times its own logarithm to the base 10, then `N`
is divisible by
5 (b) 7
(c) 9 (d) 11
A. 5
B. 7
C. 9
D. 11
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1 Answers
Correct Answer - A
`N= 50 log_(10) N`
` rArr log_(10) N = N/50`
` rArr N = (10) ^(N//50)`
` rArr N^(1//N) = (10)^(1//50) = (10)^(2//100)= (100)^(1//100`
` :. N = 100`
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