How many numbers between 1 and 100 are divisible by 11 or 13 but not both
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4
Answer:
16
Step-by-step explanation:
There are 9 that are divisible by 11 (11, 22, 33, ..., 99 = 9 × 11)
There are 7 that are divisible by 13 (13, 26, 39, ..., 91 = 7 × 13)
There aren't any numbers common to both of these lists, so there aren't any numbers between 1 and 100 divisible by both 11 and 13
So there are 9 + 7 = 16 numbers divisible by either 11 or 13 but not both.
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