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number of integers between 1 and 1000 (both inclusive) which are divisible by either of 10, 15 or 25 is
number of integers between 1 and 1000 (both inclusive) which are divisible by either of 10, 15 or 25 isnumber of integers between 1 and 1000 divisible by 10 is 100number of integers between 1 and 1000 divisible by 15 is 66number of integers between 1 and 1000 divisible by 25 is 40number of integers between 1 and 1000 divisible by 10 and 15 is multiples of 30 and is 30number of integers between 1 and 1000 divisible by 10 and 25 is multiples of 50 and is 20number of integers between 1 and 1000 divisible by 25 and 15 is multiples of 75 and is 13number of integers between 1 and 1000 divisible by 10,15 and 25 is multiples of 150 and is 9so,number of integers between 1 and 1000 (both inclusive) which are divisible by either of 10, 15 or 25 is= 100+66+40-30-20-13+9 = 152
number of integers between 1 and 1000 divisible by 10 is 100number of integers between 1 and 1000 divisible by 15 is 66number of integers between 1 and 1000 divisible by 25 is 40number of integers between 1 and 1000 divisible by 10 and 15 is multiples of 30 and is 33number 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 13number 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 is100+66+40=206now 206-(33+20+13)+6=146 Ans.
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