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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: 41886

Kudos [?]: 128773 [0], given: 12182

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

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14 Jan 2015, 02:18
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Difficulty:

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Question Stats:

89% (00:54) correct 11% (02:02) wrong based on 69 sessions

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Attachment:

2015-01-14_1318.png [ 2.21 KiB | Viewed 1254 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.
[Reveal] Spoiler: OA

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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, 02:59
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Refer diagram below:

Attachment:

2015-01-14_1318.png [ 5.13 KiB | Viewed 1244 times ]

Difference $$= \frac{1}{LCM of 4 & 5} = \frac{1}{20}$$
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Manager
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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, 10:59
1
KUDOS
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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Kudos [?]: 15 [1], given: 251

Math Expert
Joined: 02 Sep 2009
Posts: 41886

Kudos [?]: 128773 [0], given: 12182

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, 02:37
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.

_________________

Kudos [?]: 128773 [0], given: 12182

Math Expert
Joined: 02 Sep 2009
Posts: 41886

Kudos [?]: 128773 [0], given: 12182

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, 02:39
Expert's post
1
This post was
BOOKMARKED
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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09 Sep 2017, 10:51
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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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13 Sep 2017, 04:17
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 ....?

Kudos [?]: 13 [0], given: 408

Re: On the number line in the figure below, the segment from 0 to 1 has be   [#permalink] 13 Sep 2017, 04:17
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