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How many nos are there between 100 and 200 both inclusive and divisible by 2 or 3?
There will be (200-100)/2+1 = 51 numbers divisible by 2.
There will be Floor[(200 - 100)/3] = 33 numbers divisible by 3.
Multiples of 6 from the 17th through the 33rd will be counted twice by the sum of these numbers (51+33). There are 17 of them.
That means the count of numbers you are interested in is 51+33-17 = 67.
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How many integers from 1 -100 inclusive are divisible by 5 and 9?
Divisible by both? 2 numbers... 45 and 90
How many numbers between 1-100 inclusive are divisible by 2?
Exactly 50
How many numbers between 1 and 100 inclusive are divisible by 10 or 9?
Twenty of them.
How many numbers between 1 and 240 are divisible by 4 and 5?
To be divisible by both 4 and 5, the number has to be divisible by 20. Therefore, there are 12 numbers between 1 and 240, inclusive, which are divisible by 4 and 5: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240.
How many numbers between 1 and 100 (inclusive) are divisible by 3 or 4?
There are 8 of them and they are all multiples of 12
How many positive integers between 1000 and 9999 inclusive a are divisible by 9?
There are 1,000 positive integers between 1,000 and 9,999, inclusive, that are divisible by nine.
How many natural numbers between 1000 and 1500 inclusive are divisible by 13?
There are 39 natural numbers between 1,000 and 1,500, inclusive, that are divisible by 13.
How many positive integers between 1 and 250 both inclusive that are divisible by any of the integers 2357?
193 of them are divisible by one (or more) of the given numbers.
How many numbers between 1 and 600 are divisible by 2 and 3?
between 1 and 600 inclusive there are:300 numbers divisible by 2200 numbers divisible by 3100 numbers divisible by both 2 and 3400 numbers divisible by 2 or 3.
How many palindromes between 1000 and 9999 inclusive are divisible by 9?
There are 10 palindromes divisible by 9 between 1000 and 9999.
How many integers from 1 -100 inclusive are divisible by 5 and 9?
Divisible by both? 2 numbers... 45 and 90
How many numbers between 1 and 100 inclusive are divisible by 2 and 7?
Seven of them.
How many numbers between 1 and 100 inclusive are divisible by 9 or 4?
To find the numbers between 1 and 100 inclusive that are divisible by either 9 or 4, we first determine how many numbers are divisible by 9 and how many are divisible by 4. There are 11 numbers divisible by 9 (9, 18, 27, ..., 99) and 25 numbers divisible by 4 (4, 8, 12, ..., 100). However, we must be careful not to double-count numbers divisible by both 9 and 4 (36, 72). Therefore, the total number of numbers divisible by 9 or 4 between 1 and 100 inclusive is 11 + 25 - 2 = 34.
How many numbers between 1-100 inclusive are divisible by 2?
Exactly 50
How many numbers between 1 and 100 inclusive are divisible by 10 or 9?
Twenty of them.
How many positive integers between 100 and 999 inclusive are divisible by 7?
128 of them.
How many numbers between 1 and 1000 inclusive are divisible by none of 2 5 and 7?
343!
