1986 AHSME Problems/Problem 4
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 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 | ||
All AHSME Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.