Question 16
Each letter in “SECTIONS” represents one of the digits 1,2,3,4,5,6,7. The resulting number is divisible by 3 but not by 2. Find S.

Editorial clarification for this imported multiple-choice version (not explicitly printed in the source): different letters represent different digits; the repeated S represents the same digit. The original wording without this convention is not uniquely determined.

Editorial clarification for this imported multiple-choice version (not explicitly printed in the source): different letters represent different digits; the repeated S represents the same digit. The original wording without this convention is not uniquely determined.