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PIMSO 2021 - Mathematics - Grade 5 - National Round Question 27

PIMSO Maths · PIMSO 2021 - Mathematics - Grade 5 - National Round

Question 27

The numbers 1 to 50 are printed on 50 cards and put in a bag. Miguel was blindfolded and asked to draw cards in the bag until he gets a sum of 30 in any two cards drawn. At least how many cards should he draw to meet this condition?

Interpretation note (editorial): find the number that guarantees the condition in the worst case.