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How many three-digit numbers are multiples of neither 5 nor 8?

 Jul 28, 2022
 #1
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No. of three digit multiples  of 5  =

 

(995  - 100)/5  + 1  =    180

 

Number of three digit multiples of  8  =

 

(992 - 104) / 8  + 1  =    112

 

Number of three  digit multiples of 5 and 8  =  those  divisible by 40

 

( 960 -  120)  / 40  +  1    =   22

 

Number of three digit multiples  of  5 and 8  =   180 + 112  -  22   =  271

 

Number of three digit multiples of neither  5 or 8   =    900  - 271   =  629

 

 

cool cool cool

 Jul 28, 2022
 #2
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900  -  180  -  112  +  22 ==630

 Jul 28, 2022

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