Total number of numbers which are neither square or cube of a number less than 1000.

• less than 1000
  
  squares: 1^2,2^2,3^2,4^2,......,31^2 (as 32^2=1024)
  cubes: 1^3,2^3,3^3,....,9^3 (as 10^3=1000)
  
  also, 1^2=1^3, 8^2=4^3, 27^2=9^3
  
  total no. less than 1000 which are square or cube = 31 + 9 - 3 = 37
  total no. less than 1000 = 999
  
  Total no.s which are neither square nor cube of a number less than 1000
  = 999-37
  =962
  
  ans: 962
  
• 10 years agoHelpfull: Yes(101) No(0)
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• less than 1000
  
  squares: 1^2,2^2,3^2,4^2,......,31^2 (as 32^2=1024)
  cubes: 1^3,2^3,3^3,....,9^3 (as 10^3=1000)
  
  also, 1^2=1^3,8^2=4^3, 27^2=9^3
  3 numbers matching. i.e., 2^2 !=2^3 [2^2=4,2^3=8]
  
  total no. less than 1000 which are square or cube = 31 + 9 - 3 = 37
  total no. less than 1000 = 999
  
  Total no.s which are neither square nor cube of a number less than 1000
  = 999-37
  =962
  
  ans: 962
  
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