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1. If 146 Is divisible by 5ⁿ, and then find the maximum value of n.

A. 34

B. 35

C. 36

D. 37

Solution:

\begin{aligned} Required answer, \\ = \frac{146}{5} + \frac{146}{5^{2}} + \frac{146}{5^{3}} \\ = 29 + 5 + 1 \\ = 35 \end{aligned}

Note:
We have taken integral value only, not the fractional.
For example

\frac{146}{5}

= 29.2 but we have taken 29 and so on.

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