1956 AHSME Problems/Problem 34
Problem 34
If is any whole number,
is always divisible by
Solution
Suppose is even. So, we have
Out of these three numbers, at least one of them is going to be a multiple of 3.
is also a multiple of 4. Therefore, this expression is always divisible by
-coolmath34
See Also
1956 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 33 |
Followed by Problem 35 | |
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