If a continuous cable 10 meters long was marked off at intervals of 1/3 meter and also 1/4 meter, and then if the cable were cut at each mark, how many different size length of cable would result?  Choose the correct choice:  A) 1  B) 2  C) 3  D) 4  E) 5
In this particular example length (10 meter) is just extraneous information.   The location of the marks for 1/3 meter would be 4/12, 8/12, 12/12, etc...   The location of the marks for 1/4 meter would be 3/12, 6/12, 9/12, 12/12, etc...   The distances between marks are 3/12, 1/12, and 2/12.   The answer is 3.
<result>C</result>
If a continuous cable 10 meters long was marked off at intervals of 1/3 meter and also 1/4 meter, and then if the cable were cut at each mark, how many different size length of cable would result?