In this task, you need to answer the given multiple-choice question on the general math. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Q: Problem: how many positive integers less than 1000 are multiples of 5 but not of 4 or 7 ? 
Options: a ) 114 , b ) 121 , c ) 122 , d ) 129 , e ) 136

A: c
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Q: Problem: how many numbers between 190 and 580 are divisible by 45 and 6 ? 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10

A: a
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Q: Problem: a manufacturer produces a certain men ' s athletic shoe in integer sizes from 8 to 17 . for this particular shoe , each unit increase in size corresponds to a 1 / 5 - inch increase in the length of the shoe . if the largest size of this shoe is 20 % longer than the smallest size , how long , in inches , is the shoe in size 15 ? 
Options: a ) 8.6 , b ) 9.8 , c ) 10.4 , d ) 11.2 , e ) 12.6

A:
c
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