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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: 46305
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:

5% (low)

Question Stats:

90% (00:52) correct 10% (01:47) wrong based on 85 sessions

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Attachment:

2015-01-14_1318.png [ 2.21 KiB | Viewed 1516 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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Posts: 1837
Location: India
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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
1

Refer diagram below:

Attachment:

2015-01-14_1318.png [ 5.13 KiB | Viewed 1506 times ]

Difference $$= \frac{1}{LCM of 4 & 5} = \frac{1}{20}$$
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Manager
Joined: 08 Sep 2012
Posts: 64
Location: India
Concentration: Social Entrepreneurship, General Management
WE: Engineering (Investment Banking)
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
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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Math Expert
Joined: 02 Sep 2009
Posts: 46305
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.

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 46305
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
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, 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 ....?

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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