Question

how many numbers are there between 300 to 400 that of not divisible by 2,3 ,4 and 5

Answer 1

Answer:26

Step-by-step explanation:

Number of numbers which are less than 300 and not divisible by 2, 3, and 5

= 300(1 - 1/2)(1 - 1/3)(1 - 1/5) = 80

Number of numbers which are less than 390 and not divisible by 2, 3, and 5

= 390(1 - 1/2)(1 - 1/3)(1 - 1/5) = 104

So, there are 104 - 80 = 24 numbers between 300 and 390 which are not divisible by 2, 3, and 5

Now, between 390 and 400, there are only 2 more such numbers which are not divisible by 2, 3, and 5 = 391, 397

Total valid numbers = 24 + 2 = 26