Let S = {1, 2, 3, ….., 40} and let A be a subset of S such that no t

1.	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 ? (A) 10 (B) 13 (C) 17 (D) 20
Answer» Correct option (C) 17 Explanation: A {1, 2,6,7,11,12,16,17, 21,22, 26,27,31,32,36,37} = & One of the element which is multiple of 5 B {3, 4,8,9,13,14,18,19,23, 24,28,29,33,34,38,39} = & One of the element which is multiple of 5.

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 ? (A) 10 (B) 13 (C) 17 (D) 20

Answer»

Correct option (C) 17
Explanation:

A {1, 2,6,7,11,12,16,17, 21,22, 26,27,31,32,36,37} = & One of the element which is multiple of 5 B {3, 4,8,9,13,14,18,19,23, 24,28,29,33,34,38,39} = & One of the element which is multiple of 5.

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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 ? (A) 10 (B) 13 (C) 17 (D) 20

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