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metallicafan
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03 Nov 2010, 15:45
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Difficulty:
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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:
GMAT_PS_PREP_T2_108.png [ 1.76 KiB | Viewed 66797 times ]
03 Nov 2010, 16:05
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metallicafan
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.
03 Nov 2010, 15:52
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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...
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...
