Number of integers between 1 and 1000 (both inclusive )which are divisible by either of 10 ͵15 or 25 is Share with your friends Share 1 Arjit Singh answered this Such questions are simply about counting correctly.Divide 1000 by 10, you will get 100 such multiplesDivide 1000 by 15, you will get 66 such multiples.Divide by 25, 40 such multiples.Hence total = 100+66+40= 206However, there must be repitions of such multiples which are divisible by two of them or all three of them.So simple calculate LCM in pairs of 2 and then all 3 and divide 1000 by them.LCM of 10 and 15 = 30 --> Number of multiples =33LCM of 10 and 25 = 50 --> Number of multiples= 20LCM of 15 and 25 = 75 --> Number of multiples = 13LCM of 10,15 and 25 =150 --> Number of multiples =6Answer = 206 - (33+20+13)+6 =1466 is added because it was added thrice in 206 while also subtracted thrice in the next step. Draw a Venn Diagram, you will get a clear picture 39 View Full Answer Adarsh answered this answer is 150. -11 . answered this No. .. 146...But how -7 Adarsh answered this The numbers divisible by 10 and 15 is 27.The numbers divisible by 10 and 25 is 14.The numbers divisible by 15 and 25 is 7.The no.divisible by 10only is 53.the no. divisible by 15 only is 26.the number divisible by 25 only is 13 and common for 10 ,15 and 25.is 6..the sum is 146 -3 . answered this I got it -5
