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2018 Math Kangaroo

Problem 3

Problem 3 · 2018 Math Kangaroo Easy
Spatial & Visual Reasoning spatial-reasoning

The diagram shows a wooden block with 5 screws. Four of them are equally long; one screw is shorter. Which is the shorter screw?

Figure for Math Kangaroo 2018 Problem 3
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Answer: E — 5
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Hint 1 of 2
The block sits flat, so the screws all start from the same wood; the long ones poke out the bottom the same amount.
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Hint 2 of 2
Look for the one screw whose point does not reach as far as the other four.
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Approach: compare how far each screw reaches against the four matching ones
  1. Four of the screws are the same length, so their tips all reach down to the same level.
  2. One screw's tip stops higher up than the rest — that is the short one.
  3. It is screw number 5, answer E.
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