1996 AMC 8 Problem 6
Attempt Problem 6 of the 1996 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 1996 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
6.
What is the smallest result that can be obtained by the following process?
• Choose three different numbers from the set
• Add two of these numbers.
• Multiply their sum by the third number.
Answer: C
Small hint:
To keep the result small, use the three smallest numbers and
Big hint:
The smallest number should be the multiplier, since it scales the sum the least
Solution:
Use the three smallest numbers and The choices are and
Making the smallest number the multiplier gives the least result,
Thus, the correct answer is C .
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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