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by GMATGuruNY » Mon Dec 09, 2013 9:04 pm
The problem should read as follows:
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?

1/70
1/35
2/35
1/12
1/7
To make the math easier, let the total distance = 35, from 0 to 35 on the number line.
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.
Implication:
The smallest distance between successive tick marks is 1/35 of the total distance.

Since the ACTUAL total distance is 1, the smallest distance between successive tick marks = (1/35) * 1 = 1/35.

The correct answer is B.
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