Latest MBA Aptitude Question SOLUTION: If you form a subset of integers chosen from between 1 to 3000, such that no two integers add up to to a multiple of nine, what can be the maximum number of elements in the subset.

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(#M40016615) MBA question number systems, progressions Keep an EYE

If you form a subset of integers chosen from between 1 to 3000, such that no two integers add up to to a multiple of nine, what can be the maximum number of elements in the subset.

1) 1668
2) 1332
3) 1333
4) 1334

Asked In MBA (11 years ago)

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Deepak Kumar  (7 years ago)

Numbers those are multiple of 9 in the range are : 9,18,27,............................,2997
Let the range be: 1 to 18, then
9: { 1, 2 , 3 , 4 , 5 , 6, 7, 8} {These are elements of set from which sum of two (specific two) will give 9}.
+ + + + + + + +
18:

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