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SASMO 2021 Grade 6 Question 19

SASMO · SASMO 2021 Grade 6

Question 19

What is the least number of whole numbers that must be selected from $\{1,2,3,\ldots,32,33\}$ to ensure that one selected number is divisible by another selected number?

Select distinct numbers without replacement; “another” means a different selected number. The guarantee must hold for every possible selection of that size.

Input: enter the requested whole-number answer without units. Leading zeroes from the paper grid may be omitted.