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This problem trains for: SAT-I, AMC-8, GMAT.
How many multiples of 3 or of 7 are there between -100 and 100?
multiples of 3. There are
multiples of 7. There are
multiples of 7x3. There are
multiples of 3 or 7 between 1 and 100.
multiples of 3 or 7 between -100 and 100 not counting 0. However, 0 is a multiple of any integer, therefore it must also be counted.
The solution is 87.