When the sum of four consecutive odd numbers is divided by 10, the number obtained is a perfect square. Which one of the following is one of the four consecutive odd numbers?

• Ans:- four consecutive odd numbers :- 7, 9, 11, 13
  
  let four consecutive odd number be 2x-3, 2x-1, 2x+1, 2x+3
  so,
  
  = (2x-3+2x-1+2x+1,2x+3)/10
  = 8x/10
  = 4x/5 {for perfect square....}
  x = 5
  
  four consecutive odd numbers :- 7, 9, 11, 13
  
• 9 years agoHelpfull: Yes(19) No(0)
• 37+39+41+43=160
  160/10=16 and now 16 is square of 4...
• 9 years agoHelpfull: Yes(4) No(0)
• 87+89+91+93=360
  
  360/10= 36
• 9 years agoHelpfull: Yes(1) No(0)
• 7+9+11+13=40/10=4=2^2 perfect square .
• 9 years agoHelpfull: Yes(1) No(0)
• 37+39+41+43= 160/10=16= 4^2 but coorect question is not the four consecutive odd number
  
• 9 years agoHelpfull: Yes(1) No(0)
• 7+9+11+13=40
  Now, 40/10= 4, which is a perfect square.
• 9 years agoHelpfull: Yes(0) No(0)
• here answer is depend at the option ... it may 16 or 64 or etc
• 9 years agoHelpfull: Yes(0) No(0)
• 97, 99, 101, 103
• 9 years agoHelpfull: Yes(0) No(0)
• 7, 9, 11, 13
  
  let four consecutive odd number be 2x-3, 2x-1, 2x+1, 2x+3
  so,
  
  = (2x-3+2x-1+2x+1,2x+3)/10
  = 8x/10
  = 4x/5 {for perfect square....}
  x = 5
  
  four consecutive odd numbers :- 7, 9, 11, 13
  
• 9 years agoHelpfull: Yes(0) No(0)