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What is the number of natural numbers less than or equal to 1000 which are neither divisible by 10 nor 15 nor 25?A. 860B. 854C. 840D. 824 |
Answer» Correct Answer - B Let A, B & C be the sets of numbers divisible by 10, 15 & 25 respectively No. divisible by 10=100=n(A) No. divisible by 15=66-n(B) No. divisible by 25=40=n(C ) No. divisible by (10&15) =33=`n(AnnB)` No. divisible by (15&25)=13=`n(BnnC)` No. divisible by (25&10)=20=`n(AnnC)` No. divisible by (10, 15 & 25) = 6 = `n(AnnBnnC)` No. divisible by 10, 15 and 25 = `n(AuuBuuC)` `=100+66+40-33-13-20+6=146` Thus, no. which are neither divisible by 10 nor 15 nor 25=1000-146=854. |
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