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1951 AMC 12 Question 7

AMC12 · 1951 AMC 12

Question 7

An error of $0.02''$ is made in the measurement of a line $10''$ long, while an error of only $0.2''$ is made in a measurement of a line $100''$ long. In comparison with the relative error of the first measurement, the relative error of the second measurement is:
  1. Greater by $0.18$
  2. The same
  3. Less
  4. $10$ times as great
  5. Correctly described by both $(A)$ and $(D)$