what will be last two digit of 4761^235

• unit place of 4761^235=1
  10th place of 4761^235=(10th place of 4761)*(unit place of 235)=6*5=0
  so,last two digit of 4761^235=01
• 11 years agoHelpfull: Yes(52) No(0)
• any number ending with with 1
  for example (XX61)^n , n---->be anything
  unit digit will always be 1
  and for the tens digit :multiply tens digit(of the number) with unit digit of power
  i.e. tens digit of number--> 6
  and unit digit of power --> 5
  so 6*5=30
  i.e. nothing but 0 @tens place
  so answer =01
• 11 years agoHelpfull: Yes(14) No(1)
• http://totalgadha.com/mod/forum/discuss.php?d=4405
  very helpful soln
• 11 years agoHelpfull: Yes(4) No(0)
• last two digit will be 01
  
• 11 years agoHelpfull: Yes(1) No(1)
• ans should b 21
• 11 years agoHelpfull: Yes(1) No(7)
• ans is 01
  
• 11 years agoHelpfull: Yes(1) No(0)
• 01 is the right answer
• 11 years agoHelpfull: Yes(1) No(2)
• 4761^235 last 2 digit depend on 61
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  6
• 11 years agoHelpfull: Yes(0) No(5)
• check the cyclicity of 61 its 5 and the 5th iteration is 01
  ans is 01
• 11 years agoHelpfull: Yes(0) No(0)
• lasrt digit will be 1 as unit digit is 1
  tens digit i will be 0 as (tens digit of base * multiply with unit digit of expo)=5*6=30 so 0 is take
  hence 01 is answer
  
• 11 years agoHelpfull: Yes(0) No(0)
• 4761's unit digit=1 and 1^5=1
  and 10th digit of 4761 is 6 and 6^5=30
  so last two digit will be 01
• 11 years agoHelpfull: Yes(0) No(0)
• first place of 4761^235 from right to left is 1
  second place of 4761^235 from right to left is=(second place of 4761 from right to left is)*(unit place of 235 from right to left is)=6*5=0
  last two digit of 4761^235=01
• 11 years agoHelpfull: Yes(0) No(0)
• ans is 01 as taking last two digits from 4761.((61)^5)^47) as 235=47 * 5 .61^5=01 now (01)^47=01.
• 11 years agoHelpfull: Yes(0) No(0)
• 235/4 remainder=3 so 4761^3= last two digit =31
• 11 years agoHelpfull: Yes(0) No(2)
• ans 35, (4760+1)235=118600+235
• 11 years agoHelpfull: Yes(0) No(3)
• ANS=61
  please find the cycle of 61.you will get it is 6.
  235/6 leaves the reminder 1.so last two digit will be equivalent to 61^1
  that is 61
  
• 11 years agoHelpfull: Yes(0) No(0)
• 01
• 11 years agoHelpfull: Yes(0) No(0)