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A ruler one meter in length is marked off in eighths
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25 Aug 2025, 06:52
25 Aug 2025, 06:52
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Question Stats:
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A ruler one meter in length is marked off in eighths of a centimeter. What is the distance, in centimeters, from the edge of the ruler to the \(37{th}\) mark from the edge of the ruler?
(A) $\(3 \frac{1}{4}\)$
(B) $\(4 \frac{1}{2}\)$
(C) $\(4 \frac{5}{8}\)$
(D) $\(37 \frac{1}{8}\)$
(E) \( 296\)
(A) $\(3 \frac{1}{4}\)$
(B) $\(4 \frac{1}{2}\)$
(C) $\(4 \frac{5}{8}\)$
(D) $\(37 \frac{1}{8}\)$
(E) \( 296\)
- Part of the project: PrepClub Daily GRE Quant Questions: Arithmetic, Algebra, Geometry & DA
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Re: A ruler one meter in length is marked off in eighths
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29 Aug 2025, 08:48
29 Aug 2025, 08:48
Expert Reply
The correct answer is (C) $\(4 \frac{5}{8}\)$.
Here's the step-by-step solution:
1. Determine the unit of measurement for each mark. The ruler is marked off in eighths of a centimeter. This means that the distance between each mark is $\(\frac{1}{8}\)$ of a centimeter.
2. Find the distance to the 37th mark. To find the total distance, you multiply the distance of a single mark by the number of marks.
Distance $\(=37 \times \frac{1}{8}\)$
3. Perform the multiplication.
Distance $\(=\frac{37}{8}\)$ centimeters.
4. Convert the improper fraction to a mixed number.
To convert $\(\frac{37}{8}\)$ to a mixed number, divide 37 by 8 .
- $\(37 \div 8=4\)$ with a remainder of 5 .
- This gives you the whole number 4 and the fraction $\(\frac{5}{8}\)$.
The distance is $\(4 \frac{5}{8}\)$ centimeters.
Here's the step-by-step solution:
1. Determine the unit of measurement for each mark. The ruler is marked off in eighths of a centimeter. This means that the distance between each mark is $\(\frac{1}{8}\)$ of a centimeter.
2. Find the distance to the 37th mark. To find the total distance, you multiply the distance of a single mark by the number of marks.
Distance $\(=37 \times \frac{1}{8}\)$
3. Perform the multiplication.
Distance $\(=\frac{37}{8}\)$ centimeters.
4. Convert the improper fraction to a mixed number.
To convert $\(\frac{37}{8}\)$ to a mixed number, divide 37 by 8 .
- $\(37 \div 8=4\)$ with a remainder of 5 .
- This gives you the whole number 4 and the fraction $\(\frac{5}{8}\)$.
The distance is $\(4 \frac{5}{8}\)$ centimeters.
gmatclubot
Re: A ruler one meter in length is marked off in eighths [#permalink]
29 Aug 2025, 08:48
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