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by sunilrawat » Sun Aug 21, 2011 12:18 am
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 sevents, as indicated by the small tick marks. What is the least possible distance between any two of the tick marks?

1/70
1/35
2/35
1/12
1/7
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by Anurag@Gurome » Sun Aug 21, 2011 1:19 am
Refer to the post here : https://www.beatthegmat.com/algebra-t78842.html#348618
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by GMATGuruNY » Sun Aug 21, 2011 3:20 am
sunilrawat wrote: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 sevents, as indicated by the small tick marks. What is the least possible distance between any two of the tick marks?

1/70
1/35
2/35
1/12
1/7
Let distance = 35.
Divided into 7ths, there will be tick marks at: 5, 10, 15, 20, 25 and 30.
Divided into 5ths, there will be tick marks at: 7, 14, 21, and 28.
Listed in order, there will be tick marks at: 5, 7, 10, 14, 15, 20, 21, 25, 28 and 30.

The smallest distance between successive tick marks is 1.
Since the segment in the problem is 1/35 of the distance used above, we divide by 35:
1/35.

The correct answer is B.
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