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On the number line above, the segment from 0 to 1 has been divided int
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03 Nov 2010, 15:45
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67% (01:57) correct 33% (01:53) wrong based on 1054 sessions
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On the number line above, the segment from 0 to 1 has been divided into fifths, as indicated by the large tick marks, and also into sevenths, as indicated by the small tick marks. What is the LEAST possible distance between any two of the tick marks? A. 1/70 B. 1/35 C. 2/35 D. 1/12 E. 1/7 Attachment:
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Re: On the number line above, the segment from 0 to 1 has been divided int
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03 Nov 2010, 16:05
metallicafan wrote: 0::::::1
On the number line above, the segment from 0 to 1 has been divided into fifths, as indicated by the large tick marks, and also into sevenths, as indicated by the small tick marks. What is the LEAST possible distance between any two of the tick marks?
(A)1/70 (B)1/35 (C)2/35 (D)1/12 (E)1/7 The easiest way would be just to write down the values at all marks. Let the total distance be 35 units (LCM of 5 and 7), then the large marks will be at: 7, 14, 21, and 28 and the small marks at 5, 10, 15, 20, 25, and 30: 5 7 10 14 15 20 21 25 28 30. The least distance is 1 unit or 1/35 th: between 14 and 15 and between 20 and 21. Answer: B.
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Re: On the number line above, the segment from 0 to 1 has been divided int
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03 Nov 2010, 15:52
1/35 Total number length should be divisible by 5 and by 7 =>35
if divided in 5 parts: 7, 14, 21, 28, 35 If divided in 7 parts: 5, 10, 15, 20, 25, 30, 35
Smallest distance is 1/35 (between 20 and 21).
Sorry, I do not know better/more mathematical way to approach this...




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Re: On the number line above, the segment from 0 to 1 has been divided int
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03 Nov 2010, 20:47
Bunnel must say, you are the undisputed champ!! an excellent takeaway in this problem is the LCM of the two fractions.



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Re: On the number line above, the segment from 0 to 1 has been divided int
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06 May 2011, 11:26
7*5 = 35.
let 1 represent 35.
then for 1/5 divisions are 5,10,15,20,25,30,35 then for 1/7 divisions are 7,14,21,28,35
between 14 and 15 difference is 1. this is equal to 1/35. Hence B.



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Re: On the number line above, the segment from 0 to 1 has been divided int
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11 May 2011, 06:57
1/7,2/7,3/7,4/7,5/7,6/7,7/7 = 5/35, 10/35, 15/35, 20/35, 25/35, 30/35, 35/35 1/5,2/5,3/5,4/5,5/5 = 7/35, 14/35, 21/35, 28/35, 35/35 3rd 7 mark and 2nd 5 mark : = 1/35 Answer  B
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Re: On the number line above, the segment from 0 to 1 has been divided int
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16 Mar 2012, 00:46
Bunuel wrote: metallicafan wrote: 0::::::1
On the number line above, the segment from 0 to 1 has been divided into fifths, as indicated by the large tick marks, and also into sevenths, as indicated by the small tick marks. What is the LEAST possible distance between any two of the tick marks?
(A)1/70 (B)1/35 (C)2/35 (D)1/12 (E)1/7 The easiest way would be just to write down the values at all marks. Let the total distance be 35 units (LCM of 5 and 7), then the large marks will be at: 7, 14, 21, and 28 and the small marks at 5, 10, 15, 20, 25, and 30: 5 7 10 14 15 20 21 25 28 30. The least distance is 1 unit or 1/35 th: between 14 and 15 and between 20 and 21. Answer: B. Thanks for efficient method



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Re: On the number line above, the segment from 0 to 1 has been divided int
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11 Nov 2012, 05:25
Similar question to practice: http://gmatclub.com/forum/kimfindsa1 ... 40038.htmlHope it helps.
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Re: On the number line above, the segment from 0 to 1 has been divided int
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06 Feb 2013, 07:45
Official Soln given is attached herewith. Somebody please explain me the official soln.
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Re: On the number line above, the segment from 0 to 1 has been divided int
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07 Feb 2013, 01:07
Sachin9 wrote: Official Soln given is attached herewith. Somebody please explain me the official soln. Step 1: finding the values of small and large tick marks; Step 2: find the least common denominator in order to compare them easily; Step 3: arrange tick marks in ascending order; Step 4: find the least distance between them. Can you please tell me which step was confusing?
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Re: On the number line above, the segment from 0 to 1 has been divided int
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07 Feb 2013, 03:02
Bunuel wrote: Sachin9 wrote: Official Soln given is attached herewith. Somebody please explain me the official soln. Step 1: finding the values of small and large tick marks; Step 2: find the least common denominator in order to compare them easily; Step 3: arrange tick marks in ascending order; Step 4: find the lest distance between them. Can you please tell me which step was confusing? step 3 was confusing. It is now clear. . an exhausted mind couldn't absorb earlier
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Re: On the number line above, the segment from 0 to 1 has been divided int
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23 Jun 2014, 02:32



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Re: On the number line above, the segment from 0 to 1 has been divided int
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20 Jun 2015, 16:14
The LCM OF 5 and 7 is 35.
Lets assume that whole line is of 35 units.
Markups of 7 = 7, 14, 21, 28, 35 Markup on Line of 5 = 5,10,15,20,25,30,35
Lets write them in ascending order
5,710,1415,20,21,25,28,30,35
The closest distance is between 20 and 21
But since we have assumed distance between 0 to 1 as 35 Units.
lets nullify that
35 Units = 1 real unit given in the question
2120 =1
so what will be 1 in terms of real unit = 1/35
Answer B.



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Re: On the number line above, the segment from 0 to 1 has been divided int
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03 Dec 2019, 20:16
Bump up! Bunuel, Your approach is just insane.! Thank you
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Re: On the number line above, the segment from 0 to 1 has been divided int
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