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2022 Math Kangaroo

Problem 10

Problem 10 · 2022 Math Kangaroo Medium
Logic & Word Problems spatial-reasoning

Five big and four small elephants are marching along a path in single file. Because the path is narrow, the elephants cannot change their order. At the fork in the path, each elephant goes either to the right or to the left. Which of the following situations cannot happen?

Figure for Math Kangaroo 2022 Problem 10
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Answer: C
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Hint 1 of 2
The elephants keep their original order; they can only split left or right at the fork, not pass each other.
Still stuck? Show hint 2 →
Hint 2 of 2
Check each picture: the order along each branch must still match the single-file order.
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Approach: check that order is preserved on both branches
  1. Because no elephant can overtake another, both branches must show the elephants in their original order.
  2. Test each option against that rule.
  3. Only option C breaks the order, so that arrangement cannot happen.
  4. So the answer is C.
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