How many numbers are there which are divisible by neither 5 nor 7, in the set {200, 201, 202, ….., 798, 799, 800}?

How many numbers are there which are divisible by neither 5 nor 7, in the set {200, 201, 202, ….., 798, 799, 800}?
[A]411
[B]412
[C]410
[D]None of these

411
Because total numbers in the given set are : (800 – 200) + 1 = 601.
Since we have calculated number of numbers which are divisible by either 5 or 7 or both in just earlier question : (121 + 86) – 17 = 190.
So the number of numbers which are divisible by neither 5 nor 7 are : 601 – 190 = 411. Therefore option (a) is correct answer.

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