1.

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.


Discussion

No Comment Found

Related InterviewSolutions