The number plate of a bus had peculiarity. The bus number was a perfect square. It was also a perfect square when the plate was turned upside down. The bus company had only five hundred buses numbered from 1 to 500. What was the number ?

• chose the number which looks meaningful number after turning upside to down from 1,2...9
  there are only 3 numbers 6,8 & 9which looks meaningful number after turning upside to down.
  so the square of the numbers between 1 to 500 having only digits 6,8 & 9 is
  83^2=6889
  if you turn upside down you will get the same number.
• 11 years agoHelpfull: Yes(3) No(3)
• 484-> square of 22
• 11 years agoHelpfull: Yes(3) No(4)
• oh previous solution exceeds 500
  the solution which lies in between 1 to 500 is
  196=14^2 if we turn it, it becomes 961=31^2
  hence the number on the plat is 196
• 11 years agoHelpfull: Yes(2) No(2)
• 196 because even if we turn them upside n down it would be the perfect square
• 11 years agoHelpfull: Yes(2) No(4)
• 196.when it turned upside down the no becomes 961 which is also a perfect square of 31.
• 11 years agoHelpfull: Yes(1) No(3)
• Why cant the number be 400??
  (20)^2=400
  and by reversing it 004 which is also a perfect square??
• 11 years agoHelpfull: Yes(0) No(2)
• ans:81
  which is a 9^2
  when we turn number plate upside down we get again 81
  
• 11 years agoHelpfull: Yes(0) No(1)
• It can be 169 also
• 6 years agoHelpfull: Yes(0) No(0)