How many integer are there between 1 and 100 which are not divisible by 2,3,5 and 7?
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25....
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*numbers divisible by 2=50
*numbers divisible by=33 ,but numbers like 6,12,18,....have been considered in divisible by 2 so these are being left and such are in 16 numbers.so required numbers for 3=33-16=17
*numbers divisible by 5=20, but numbers like 10,15,20,....are have been considered i divisible by 2 and 3 so they have been left.hence required number=20-13=7
*number divisible by 7=14, but numbers like14,21,28,35....are being left as they have been cosidered as divisible by 2,3,5.so required numbers are=14-10=6
so the total numbers divisible by 2,3,5&7=50+17+7+6=80
hence numbees not divisible by 2,3,5,7 are 10p-80=20
hooe it will help you
*numbers divisible by=33 ,but numbers like 6,12,18,....have been considered in divisible by 2 so these are being left and such are in 16 numbers.so required numbers for 3=33-16=17
*numbers divisible by 5=20, but numbers like 10,15,20,....are have been considered i divisible by 2 and 3 so they have been left.hence required number=20-13=7
*number divisible by 7=14, but numbers like14,21,28,35....are being left as they have been cosidered as divisible by 2,3,5.so required numbers are=14-10=6
so the total numbers divisible by 2,3,5&7=50+17+7+6=80
hence numbees not divisible by 2,3,5,7 are 10p-80=20
hooe it will help you
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