1966 AHSME Problems/Problem 29
Problem
The number of positive integers less than divisible by neither
nor
is:
Solution
The number of numbers under that are divisible by
is
. The number of numbers under
that are divisible by
is
. Adding them together, we get
. However, we have over counted the numbers which are divisible by
. There are
of these. So, the number of numbers divisible be
or
under
is
. We can conclude that the number of numbers divisible by neither
or
is
or answer choice
See also
1966 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 28 |
Followed by Problem 30 | |
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