0 0 votes How many positive integers less than $1000$ are neither divisible by $3$ nor divisible by $5$? Explain how you arrived at your answer. Elementary Number Theory cmi2025-datascience number-theory counting + – Shubham Sharma 2 227 views answer comment Share Follow Print 0 reply Please log in or register to add a comment.
0 0 votes Total number of number not divisible by 3 and 5 are = 999 - total number of numbers divisible by 3 or 5 numbers divisible by 3 = 1000/3 = 333 numbers divisible by 5 = 1000/5 =199 Now we need to subtract numbers that are counted twice which are divisble by both 3 and 5 numbers divisible by 15 = 1000/15 = 66 333+199−66=466 999−466=533 533 is the answer akhil1 answered Jun 25, 2025 akhil1 comment Share Follow 0 reply Please log in or register to add a comment.