Sage-Tips

How many integers from 1 and 1000 are divisible by 2 and 3 but not 5?

33 numbers divisible by 2, 3 and 5 exist between 1 and 1000.

How many number’s between 1 to 1000 are not divisible by 3 or by 5 or by 7?

So that leaves 1000-9 = 991 integers that are not divisible by 7, 3 and 5. So the answer to the question is 991. So now the answer would be that there are 457 integers from 1 to 1000 that are not divisible by 7, 3, or 5. (the “or” is the key here).

How many numbers are there between 1 to 100 that are not divisible by 2 3 5?

Numbers not divisible by 2, 3 & 5 = 100 – 74 = 26.

How many numbers from 1 to 1000 are there which are neither divisible by 2 3 nor 5?

Therefore, 266 numbers are there which are NOT divisible by 2,3 & 5. Correct option is (B). Originally Answered: How many numbers from 1 to 1000 are not divisible by the digits 2, 3, and 5?

How many numbers are there between 1 and 1000?

Hence, there are total 143 numbers between 1 and 1000 which when divided by 7 leave remainder 4.

How many numbers are there between 1 and 1000 which are divisible neither by 2 nor by 5?

there are 50 odd numbers in 1-100. so,there are 500 numbers between 1-1000 which are neither divisible by 5 nor by 2.

How many numbers from 1 to 1000 are divisible by 60 but not 24?

We know the greatest integer function any real number x returns the greatest integer less than equal tox. It means if x=2.00001 then [x]=2 since 2 is greatest integer less than equal to 2.00001. So we have 16 multiples of 60 out of which 8 are also multiples of 24. So the number of multiples of 60 but not 24 is 16−8=8.

How many numbers from 1 to 1000 are divisible by 15 but not 30?

Hence the answer is 33 odd multiples of 15.

What are the possible numbers between 1000 and 1100?

Textbook solution If the difference of the sum of even place digits and sum of odd place digits is divisible by 11 then the number is also divisible by 11. The numbers between 1000 and 1100 that are divisible by 11 are, 1001, 1012, 1023, 1034, 1045, 1056, 1067, 1078 and 1089.

How many numbers less than 1000 are divisible by 3 and 5?

Hence the largest number less than 1000 which is divisible by 15 is 990. The multiples of 15 will form an A.P with first term a = 15, common difference d = 15 and last term l = 990. Thus there are 66 numbers from 1 to 1000 divisible by both 3 and 5. Hope it helps!

How to find the total number of numbers divisible by 5?

The first no. divisible by 5 is 5 and 2nd no. is 10 and so on just keep adding 5 till you reach the last number i.e. 995. So the A.P. is like 5,10,15,20,…,995. Now to find the total number of numbers just put it in the formula. Now we must take care of repetition that is those numbers which is divided by 3 and 5 both .

Why is 30 not divisible by 2 or 5?

Because however a number behaves regarding divisibility by 2, 3 or 5, adding 30 to it won’t change anything, since 30 is divisible by all three of them. Adding a multiple of 3 doesn’t alter divisibility by 3. Adding a multiple of 2, or 5 doesn’t alter divisibility by 2 or 5.

What are all the numbers that when divided by 3?

Numbers divided by 3 are all the numbers that when divided by 3 equal a whole number (integer). In other words, we are looking for all the possible numbers in this equation: Number / 3 = Integer. As you have probably figured out by now, the list of numbers divisible by 3 is infinite.