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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

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The correct answer is B.
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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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PareshGmat
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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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

Posted from my mobile device
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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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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
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