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For how many integer values of n between 1 and 474 inclusive does the decimal representation of  n/474 terminate?

 Sep 23, 2020
 #1
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Anyone/???

 Sep 23, 2020
 #2
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Is it n / 474 OR n / 475 ???

 Sep 23, 2020
 #3
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For how many integer values of n between 1 and 474 inclusive does the decimal representation of  n/475 terminate?

 

thats all it says

 Sep 23, 2020
 #4
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(19, 38, 57, 76, 95, 114, 133, 152, 171, 190, 209, 228, 247, 266, 285, 304, 323, 342, 361, 380, 399, 418, 437, 456) = 24 such "n", which are all multiples of 19.

 Sep 23, 2020
 #5
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Is it only 24? I thought it would be more...

 Sep 23, 2020
 #6
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Exactly 24 only. Here is the computer code that listed them:

 

n=1; b= 475; c= n/475;printc,n;n++;if(n<=474, goto2, 0)

 

OUTPUT = 24 such numbers, from 19 to  456 [All multiples of 19 between 19 and 474]

Guest Sep 23, 2020

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