Find out the total numbers between 1 to 999 that are neither divisible by 8 nor by 12 ?

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mallik

  • Jun 18th, 2006
 

ans: 197

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pavithra

  • Jul 13th, 2006
 

nos divisible by 12 bt 1 n 999 =124

nos divisible by 8 bt 1 n 999=83

lcm of 8 n 12 =24

nos divisible by 24 bt 1 n 999 =41

ans =124+83-41=166

surya

  • Jul 16th, 2006
 

see the number that is neither divisible by 12 nor by 8 can be found out by a simple way

1st 12*8=96

between 1 & 999 we have 96,192,288,384,480,576,672,768,864,960 so this adds up to 10 numbers which are divisible by both 12 & 8

so just deduct this no., from total nos available 999-10=989

this is the no. of numbers which cannot be divided by both  12 & 8

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Sadik

  • Jul 17th, 2006
 

there are 999/8 = 124 numbers divisable by 8

there are 999/12 = 83 numbers divisable by 8

and there are 999/(12*8) = 10 no divisable by both

so number of numbers divisable by either 12 or 8 or both = 124+83-10 = 197

therefore no. of numbers divisable by neither 8 nor 12 = 999-197 =802 .Ans

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hashi

  • Aug 17th, 2006
 

166

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chandrasekar

  • Sep 19th, 2006
 

u have one more step

999-166 = 833

833 is the answer

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hyddude

  • Oct 21st, 2006
 

         Your Explanation is superb

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bharath

  • Oct 24th, 2006
 

can any one get me the correct answer...iam confused....

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vignesh

  • Oct 27th, 2006
 

hey check it out, here is the right ans,

nos that is div by 8 = 999/8 = 124

nos that is div by 12 = 999/12 = 83

nos that is div by both 12 & 8( tat is lcm of 12 and 8, rem that 24 is div by 12 and 8, so its not 12*8!)= 41

total nos ae = 124+83-41 = 166

they asked nos div by neither 12 nor 8, then.... 999-166=833

so the ans is 833!!

nirmal

  • Nov 14th, 2006
 

hi vignesh explaination is good ...

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sachinkiit

  • Feb 7th, 2010
 

Nos. divisible by 8 = 999/8 124
Nos. divisible by 12 = 999/12 83
Nos. divisible by 24 (LCM of 8 and 12)=41
So the total nos which are divisible by 8 nd 12 is, we may found by
124+83-41
=207-41=166
So the nos div by neither 12 nor 8 then is
999-166 = 833 is the answer.

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