Welcome! You are encouraged to register with the site and login (for free). When you register, you support the site and your question history is saved.
Review: Counting Nonzero Digits
Explanation
In this question, we can separate the number x into two factors:
Since the latter portion is easy to add in afterward (and
will contribute only digits of zero). Since 
,
we have 
.
We can proceed by long division:
We have hit, finally, a situation in which the decimal
will repeat: from here on out we'll have 4's. Therefore, the distinct non-zero
digits in this decimal are 6, 9, and 4, for a grand total of 3.
The correct answer is (C).
If you believe you have found an error in this question or explanation, please contact us and include the question title or URL in your message.