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Consider a set $A = \left\{1, 2, 3, …….., 1000\right\}$.

How many members of A shall be divisible by $3$ or by $5$ or by both $3$ and $5$?

  1. 533 
  2. 599
  3. 467 
  4. 66
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Thanks . For correction :)

  • Number of members divisible by 3 = {3,6,9,........999}  //Total 333 terms :easy way =999/3 =333
  • Number of members divisible by 5={5,10,......995,1000} // Total 200 terms:  easy way =1000/5 =200
  • Number of members divisible by 15= {15, 30, ...990} // total 66

thus total number of members in set = 333+200 -66 =467

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