How many numbers from 1 to 1000 are there which are not divisible by any of the digits 2 3 and...........

Quantitative Aptitude( Paper-I ) Number System

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How many numbers from 1 to 1000 are there which are not divisible by any of the digits 2, 3 and 5?

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CAPF 2015 Paper-1

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166

266

357

366

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Explanation:

the number which are divisible by 2,3and 5 from 1 to 1000
1000/2=500
1000/3=333
1000/5=200
1000/6(2,3)=166
1000/15(3,5)=66
1000/10(2,5)=100
1000/30(2,3,5)=33
Then ---- 500+333+200-166-66-100+33=734
734 numbers is divisible by (2,3,5)from the number 1 to 1000
So the number is not divisible by (2,3,5)=1000-734=266