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On the number line in the figure below, the segment from 0 to 1 has be

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Bunuel
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On the number line in the figure below, the segment from 0 to 1 has be [#permalink] New post   14 Jan 2015, 02:18
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2015-01-14_1318.png
2015-01-14_1318.png [ 2.21 KiB | Viewed 4318 times ]
On the number line in the figure below, the segment from 0 to 1 has been divided into fourths, as indicated by the large tick marks, and also into fifths, as indicated by the small tick marks. What is he least possible distance between any of the two tick marks?

(A) 1/40
(B) 1/20
(C) 1/10
(D) 1/9
(E) 1/5
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B
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PareshGmat
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Re: On the number line in the figure below, the segment from 0 to 1 has be [#permalink] New post   14 Jan 2015, 02:59
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Answer = (B) 1/20

Refer diagram below:

Attachment:
2015-01-14_1318.png
2015-01-14_1318.png [ 5.13 KiB | Viewed 4277 times ]


Difference \(= \frac{1}{LCM of 4 & 5} = \frac{1}{20}\)
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Re: On the number line in the figure below, the segment from 0 to 1 has be [#permalink] New post   14 Jan 2015, 10:59
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Bunuel wrote:
Attachment:
2015-01-14_1318.png
On the number line in the figure below, the segment from 0 to 1 has been divided into fourths, as indicated by the large tick marks, and also into fifths, as indicated by the small tick marks. What is he least possible distance between any of the two tick marks?

(A) 1/40
(B) 1/20
(C) 1/10
(D) 1/9
(E) 1/5

Kudos for a correct solution.


I simply calculated the the distances mentally for the 1st two tick marks & last two tick marks! Both should be equal ideally!
Correct answer = 0.05 = 1/20 => Option B
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Re: On the number line in the figure below, the segment from 0 to 1 has be [#permalink] New post   19 Jan 2015, 02:37
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Bunuel wrote:
Attachment:
2015-01-14_1318.png
On the number line in the figure below, the segment from 0 to 1 has been divided into fourths, as indicated by the large tick marks, and also into fifths, as indicated by the small tick marks. What is he least possible distance between any of the two tick marks?

(A) 1/40
(B) 1/20
(C) 1/10
(D) 1/9
(E) 1/5

Kudos for a correct solution.


The correct answer is B.
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Bunuel
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Re: On the number line in the figure below, the segment from 0 to 1 has be [#permalink] New post   19 Jan 2015, 02:39
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Bunuel wrote:
Bunuel wrote:
Attachment:
2015-01-14_1318.png
On the number line in the figure below, the segment from 0 to 1 has been divided into fourths, as indicated by the large tick marks, and also into fifths, as indicated by the small tick marks. What is he least possible distance between any of the two tick marks?

(A) 1/40
(B) 1/20
(C) 1/10
(D) 1/9
(E) 1/5

Kudos for a correct solution.


The correct answer is B.


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Re: On the number line in the figure below, the segment from 0 to 1 has be [#permalink] New post   13 Sep 2017, 04:17
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PareshGmat wrote:
Answer = (B) 1/20

Refer diagram below:

Attachment:
2015-01-14_1318.png


Difference \(= \frac{1}{LCM of 4 & 5} = \frac{1}{20}\)


hi

your formula is very handy, no argument ....

can you please, however, speak few more words about the logic behind this operation ....?

thanks in advance ..
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Re: On the number line in the figure below, the segment from 0 to 1 has be [#permalink] New post   16 Jan 2019, 23:50
So the 1/4, 2/4 3/4

And 1/5,2/5,3/5,4/5

We can write them as
4/20,5/20,10/20,15/20,16/20

Least distance 1/20

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Re: On the number line in the figure below, the segment from 0 to 1 has be [#permalink] New post   19 Jan 2019, 19:39
PareshGmat
How does this formula work if it was between the numbers 1 and 2 instead of just 1 etc
Please manipulate it to show general use testcracker
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Re: On the number line in the figure below, the segment from 0 to 1 has be [#permalink] New post   22 Jan 2019, 05:33
philipssonicare wrote:
PareshGmat
How does this formula work if it was between the numbers 1 and 2 instead of just 1 etc
Please manipulate it to show general use testcracker



hi

I don't know whether I am okay, but I tried the problem as under

actually the answer is nothing but the difference between 1/4 and 1/5

as all segments made by large ticks are equal and all segments made by small ticks are equal, the least possible distance between any of the tick marks will be the one either the difference between the space enclosed by first small tick and first large tick or the difference between the space enclosed by last small tick and last large tick

the space covered by the first small tick is 1/5, and the space covered by the first large tick is 1/4, so the answer is simply

(1/4 ) - (1/5) = 1/20 = B the answer

thanks
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Re: On the number line in the figure below, the segment from 0 to 1 has be [#permalink] New post   07 Jun 2023, 06:51
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Re: On the number line in the figure below, the segment from 0 to 1 has be [#permalink]
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