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

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Math Expert
Joined: 02 Sep 2009
Posts: 53020
On the number line in the figure below, the segment from 0 to 1 has be  [#permalink]

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14 Jan 2015, 01:18
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Difficulty:

5% (low)

Question Stats:

91% (01:13) correct 9% (02:24) wrong based on 110 sessions

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Attachment:

2015-01-14_1318.png [ 2.21 KiB | Viewed 1824 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

Kudos for a correct solution.

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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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14 Jan 2015, 01:59
2
1

Refer diagram below:

Attachment:

2015-01-14_1318.png [ 5.13 KiB | Viewed 1810 times ]

Difference $$= \frac{1}{LCM of 4 & 5} = \frac{1}{20}$$
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Concentration: Social Entrepreneurship, General Management
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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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14 Jan 2015, 09:59
1
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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Posts: 53020
Re: On the number line in the figure below, the segment from 0 to 1 has be  [#permalink]

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19 Jan 2015, 01:37
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.

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 53020
Re: On the number line in the figure below, the segment from 0 to 1 has be  [#permalink]

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19 Jan 2015, 01:39
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.

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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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13 Sep 2017, 03:17
1
PareshGmat wrote:

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 ....?

Intern
Joined: 30 Dec 2018
Posts: 33
Re: On the number line in the figure below, the segment from 0 to 1 has be  [#permalink]

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16 Jan 2019, 22:50
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]

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19 Jan 2019, 18:39
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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On the number line in the figure below, the segment from 0 to 1 has be  [#permalink]

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22 Jan 2019, 04:33
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
On the number line in the figure below, the segment from 0 to 1 has be   [#permalink] 22 Jan 2019, 04:33
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