Here see another approach:

First select extreme numbers divisible by all three 2 and 3 and 5 --> 210 and 300.

Now 0 - 300 numbers not divisible by 2 or 3 or 5:

= 300 (1 - 1/2) (1 - 1/3) ( 1 - 1/5)

= 80

Now 0 - 210 numbers not divisible by 2 or 3 or 5:

= 210 (1 - 1/2) (1 - 1/3) ( 1 - 1/5)

= 56

Numbers not divisible by 2 or 3 or 5 between 210 - 300 = 80 - 56 = 24

Further there are two more numbers between 200 - 210 => 203 and 209 which are not divisible by 2 or 3 or 5.

Thus 24 + 2 = 26 Ans E.

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Piyush K

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