1986 AHSME Problems/Problem 4
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Problem
Let S be the statement "If the sum of the digits of the whole number is divisible by , then is divisible by ."
A value of which shows to be false is
Solution
For a counterexample, we need a number whose digit sum is divisible by , but which is not itself divisible by . satisfies these conditions, as but does not divide , so the answer is .
See also
1986 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 3 |
Followed by Problem 5 | |
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