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20 Apr 2021, 08:45
Kudos
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
70% (02:00) correct
30%
(01:51)
wrong
based on 108
sessions
History
Date
Time
Result
Not Attempted Yet
A straight pipe 1 yard in length was marked off in fourths and also in thirds. If the pipe was then cut into separate pieces, at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a yard?
I. \(\frac{1}{6}\)
II. \(\frac{1}{4}\)
III. \(\frac{1}{12}\)
A. I only
B. II only
C. III only
D. I and II only
E. I, II, and III
I. \(\frac{1}{6}\)
II. \(\frac{1}{4}\)
III. \(\frac{1}{12}\)
A. I only
B. II only
C. III only
D. I and II only
E. I, II, and III
20 Apr 2021, 12:16
Kudos
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Bunuel
To create 1/4 markings we need 3 slices, to create 1/3 markings we need 2 slices.
We can split the pipe in half first. Then from left to right, we will have the first 1/4 marking, the first 1/3 marking, then the second 1/4 marking (one-half marking). The other half is symmetrical so we only need to observe the first half.
So we will have a 1/4 pipe, then a \(\frac{1}{3} - \frac{1}{4} = \frac{1}{12}\) pipe, then \(\frac{1}{2} - \frac{1}{3} = \frac{1}{6}\) pipe before we reach the halfway point.
Ans: E
20 Apr 2021, 19:56
Kudos
Bookmarks
Starting from down,
First 1/3rd minus first 1/4th = 1/3 - 1/4 = 1/12
Next 1/3rd I.e. 2/3 minus next 1/4th I.e. 1/2 = 2/3-1/2 = 1/6
Similarly next 1/3rd I.e. 1 minus next 1/4th = 1-3/4 = 1/4
Therefore all are satisfied.
Hence OA is E.
Posted from my mobile device
First 1/3rd minus first 1/4th = 1/3 - 1/4 = 1/12
Next 1/3rd I.e. 2/3 minus next 1/4th I.e. 1/2 = 2/3-1/2 = 1/6
Similarly next 1/3rd I.e. 1 minus next 1/4th = 1-3/4 = 1/4
Therefore all are satisfied.
Hence OA is E.
Posted from my mobile device
