find the last two digits of 1831^4382+1871^3826?

• 1831^4382 + 1871^3826 last two digits of this expression is equal to last two digits of
  31^4382 + 71^3826 ( by using the concept of binomial theorem.)
  =(30+1)^4382 + (70 +1)^3826
  last two digits are formed by (4382*30) %100 + 1+ (3826*70) % 100 + 1 { again by the use of binomial theorem}
  = 60 +1 + 20 + 1 = 82
• 8 years agoHelpfull: Yes(8) No(0)
• ans will be 82.
  1831*1831=last two digit will be 61 (don't need to multiply whole thing just multiply last two digits)
  similarly
  yyyy61*1831=zzzzzz91
  zzzzzz91*1831= mmmmmmmm 21
  nd so on
  that make second last digit table of three
  so 4382/10 remainder will be 2
  from above easly we can see last two digit will be 61 from 1831^4382
  similar for other one last two digit will be 21
  therefore ans will be 21+61=82.
  
  
  
• 8 years agoHelpfull: Yes(4) No(0)
• ans= 82
  rule for 1
  31^4382=3*2,1=61
  71^3826=7*2,1=21
  61+21=82
  
• 8 years agoHelpfull: Yes(4) No(3)
• 82
  because in 1831 ^4382 last digit is always 1 then we multiply 3(second last digit of the number) with 2(last digit of the power) to find the second last digit so 3*2= 6
  similarly we can find the last 2 digit of 1871^3826 (7*6 =42 so we take only 2 ) which is 21
  now add these two last digit
  61+21=82
• 8 years agoHelpfull: Yes(3) No(0)
• (first we take last digit of 1831=1 then last second digit multiply with power (4382) is 2 3*2=6)=61
  similarly 21
  61+21=82
• 8 years agoHelpfull: Yes(2) No(1)
• explain please
• 8 years agoHelpfull: Yes(1) No(1)
• Answer :
  82
• 8 years agoHelpfull: Yes(0) No(1)
• how it is 82?
  explane it plz....................!!!!!!!!!!!!
• 8 years agoHelpfull: Yes(0) No(1)
• we can solve with cylindrical pattern.. the cylindrical pattern of 3,8,7 is 4. so ans will be 82.
• 8 years agoHelpfull: Yes(0) No(0)
• unit digit is 1 then one power anything is always one.then 1+1=2
  ans:2
• 8 years agoHelpfull: Yes(0) No(1)
• answer is 2.as the final unit is 1..and we kniw that 1^(any thing)is 1....in the both cases the last digit will be 1,,,,1+1=2
• 8 years agoHelpfull: Yes(0) No(0)
• use binomial here
• 8 years agoHelpfull: Yes(0) No(1)
• Ans is 2
  Anything to the power 1 is 1,So 1+1=2
• 8 years agoHelpfull: Yes(0) No(0)