Find the Least and highest possible values for ** in the following expression which must be divisible by 11 without any remainders.
123**45

• 08,96
  
  least possible value for ** is 08 .
  Number will be 1230845.
  
  Max possible value for ** is 96 .
  Number will be 1239645.
• 12 years agoHelpfull: Yes(2) No(2)
• least value is 08
  max value is 96
• 12 years agoHelpfull: Yes(1) No(2)
• ANS:1,9
  EXPLANATION:
  DIFFERENCE BETWEEN SUM OF ODD PLACES AND EVEN PLACES IT MUST BE DIVISIBLE BY 11
  1+3+9+5=18
  2+1+4=7
  18-7=11/11=0
  SATISFIED
  
• 12 years agoHelpfull: Yes(0) No(4)
• least value 08 & highest value 52 in place of ** will be divisible by 11
  as it will give the difference of either 0 or 11 for the odd & even digit sum.
• 12 years agoHelpfull: Yes(0) No(3)
• the sum of numbers at even position and odd positions should be equal.
  in this case suppose first *=x and second *=y
  so 1+3+y+5=2+x+4
  =>9+y=6+x
  =>x=y+3
  
  solution pairs are
  (3,0),(6,3),(9,6)...elements should be single digited hense
  larger value is 96
  and lesser is 30
• 12 years agoHelpfull: Yes(0) No(0)
• Ans:1230845
  
  Differences between odd and even places are either zero or divisible by 11 itself.since least and highest is the order,the value will be 1230845 so that diff is 11 itself
• 12 years agoHelpfull: Yes(0) No(0)