1995 AMC 8 Problem 15
Attempt Problem 15 of the 1995 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1995 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
15.
What is the th digit to the right of the decimal point in the decimal form of
Answer: B
Small hint:
Write as a repeating decimal and find the length of the repeating block
Big hint:
The block has length use the remainder of divided by
Solution:
repeating with block length The digits in positions (multiples of ) are
Since is a multiple of the th digit is so the th digit starts the next block: it is
Thus, the correct answer is B .
Problem 15 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
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