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

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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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Attachment:
2015-01-14_1318.png
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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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 1244 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]

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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]

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New post 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.


The correct answer is B.
_________________

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Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
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Kudos [?]: 128773 [0], given: 12182

Expert Post
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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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New post 19 Jan 2015, 02:39
Expert's post
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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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if-the-successive-tick-marks-shown-on-the-number-line-above-144053.html
a-straight-pipe-1-yard-in-length-was-marked-off-in-fourths-145031.html
on-the-number-line-above-the-segment-from-0-to-1-has-been-104204.html
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

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

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New post 13 Sep 2017, 04:17
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] 13 Sep 2017, 04:17
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On the number line in the figure below, the segment from 0 to 1 has be

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