The number of natural numbers n such that (n+1)^2/(n+7) is an integer, is
a) 4 b) 5 c) 6 d) None of these

• 36/12
  =3
  so answer will be 5
• 12 years agoHelpfull: Yes(10) No(2)
• n+1)^2/n+ 7 = k
  
  k= (n+7)^2 /n+7 – (12n + 48)/n+7
  
  if k is integer then (12 + 48)/n+7 has to be an integer.
  
  12n +48/n+7=12(n+4)/n+7.
  
  = 12 (n+7 -3)/n+7
  
  
  
  36/n+7 has to be an integer.
  
  n+7 = 9 ,12 , 18 , 36
  n can take 4 values
• 12 years agoHelpfull: Yes(9) No(2)
• a) 4
  
  n can take 4 values... 2,5,11,29
• 12 years agoHelpfull: Yes(3) No(3)
• Its answer is 5
  
• 12 years agoHelpfull: Yes(2) No(1)
• b) 6 is the correct ans. if we put n=5 in eq. gives integer value.....so
• 12 years agoHelpfull: Yes(0) No(3)
• answer is c which is 5.
• 6 years agoHelpfull: Yes(0) No(1)