How many no. b/w 100 to 2000 which are not divisible by 4 ?
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Answer:
Euler of 2*3*5
= (1- 1/2)(1 - 1/3)(1 - 1/5)
= (1/2)(2/3)(4/5)
= 4/15
Number not divisible :-
Between 1-100
100 (4/15)
= 26
Between 1-195
= 195 (4/15)
= 52
So from 1-195
52-26 = 26
Between 196-200 only 2 number is not divisible I.e 197 & 199
Total number
= 26+2
= 28 <--- answer
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