Question

Number of integers between 1 and 1000 both inclusive which are divisible by either 10, 15 or 25 is

Answer 1

Answer:

Step-by-step explanation: number of integers between 1 and 1000 divisible by 10 is 100

number of integers between 1 and 1000 divisible by 15 is 66

number of integers between 1 and 1000 divisible by 25 is 40

number of integers between 1 and 1000 divisible by 10 and 15 is multiples of 30 and is 33

number of integers between 1 and 1000 divisible by 10 and 25 is multiples of 50 and is 20

number of integers between 1 and 1000 divisible by 25 and 15 is multiples of 75 and is 13

number of integers between 1 and 1000 divisible by 10,15 and 25 is multiples of 150 and is 6

number of integers between 1 and 1000 (both inclusive) which are divisible by either of 10, 15 or 25 is

100+66+40=206

now 206-(33+20+13)+6

=146 Ans

Hope you like it! :)

Answer 2

First we have to find how many integers divisible between 1 and 1000

No divisible by 5 equal to 1000/5=200–1 =199

No divisible by 6 equal to 1000/6 =166

But in this data no divisible by 5 also include so that we know that every fifth no in the table of 6 divisible by 5 so we subtract it from 166

ie 166/5=33 then 166–33=133

Total integers divisible by 8 equal to 1000/8=125–1 =124

But in 8 table every 3rd no is divisible by 6 then total no is 124/3=41

And every fifth no is divisible by 5 ie 124/5=24

Then total integers divisible by 8 not 5 and 6 are 124–41–24=59