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.