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IMAS 2012 — Upper Primary Grades 5–6 — Round 1 Question 19

IMAS · IMAS 2012 — Upper Primary Grades 5–6 — Round 1

Question 19

The diagram below shows four cups in a row, labelled 1, 2, 3 and 4. Initially, there is a ball inside cup #3. In each move, the ball may be transferred to an adjacent cup. From cup #1, the ball can only go to cup #2, and from cup #4, the ball can only go to cup #3. After 2012 moves, which of the following statements about the ball is correct?

Question illustration

1

Question illustration

2

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3

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4
  1. It cannot be in cup #1 and cannot be in cup #2
  2. It cannot be in cup #1 and cannot be in cup #3
  3. It cannot be in cup #2 and cannot be in cup #3
  4. It cannot be in cup #2 and cannot be in cup #4
  5. It cannot be in cup #3 and cannot be in cup #4