KVPY Government Jobs Exams

Let S = {1, 2, 3, .., 40} and let A be a subset of S such that no two elements in A have their sum divisible by 5. What is the maximum number of elements possible in A ?
option
(A) 10
(B) 13
(C) 17
(D) 20

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How many ordered pairs of (m, n) integers satisfy ?
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