If 146 Is divisible by 5n, and then find the maximum value of n.
a) 34
b) 35
c) 36
d) 37
Answer: b
Explanation:
$$\eqalign{
& = {\frac{{146}}{5}} + {\frac{{146}}{{{5^2}}}} + {\frac{{146}}{{{5^3}}}} \cr
& = 29 + 5 + 1 \cr
& = 35 \cr} $$
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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