1994 AMC 8 Problem 6
Attempt Problem 6 of the 1994 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 1994 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
6.
The unit’s digit (one’s digit) of the product of any six consecutive positive whole numbers is
Answer: A
Small hint:
Among any six consecutive numbers there is at least one multiple of and at least one even number
Big hint:
A multiple of times an even number is a multiple of
Solution:
Any six consecutive whole numbers include at least one multiple of and at least one even number, so their product is a multiple of
A multiple of always ends in .
Thus, the correct answer is A .
Problem 6 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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