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AMO 2027 Grades 2-3 SET 14 - Self-study Question 7

AMO · AMO 2027 Grades 2-3 SET 14 - Self-study

Question 7

A stack has 9 different number cards. The numbers are from 1 to 9. Alex, Benjamin, Carol, Danish each draws 2 cards. It is given that the sum of the cards drawn by Alex equals 10, the difference of the cards drawn by Benjamin is equal to 1, the product of the cards drawn by Carol equals 24, the quotient of the cards drawn by Danish is equal to 3. Which number card is still left in the stack?

Self-study convention (editorial): for a difference or quotient, put the larger card number first; each physical card can be drawn only once.
  1. 3
  2. 2
  3. 5
  4. 7
  5. None of the above