(a) Prove that the set of rational numbers is countable. (b) Find the…

Previous year question for Discrete Mathematics.

Question

(a) Prove that the set of rational numbers is countable.

(b) Find the number of integers between 1 and 500, both inclusive

(i) which are divisible, either by 10, 15 or 25.

(ii) which are divisible neither by 10, 15 nor 25.

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