find last two digit of (1021^3921)+(3081^3921)?

• 1021^3921=last 2 digit(21)
  3081^3921=last 2 digit(81)
  so, 21+81=102
  means last two digit will be 02.
  
• 10 years agoHelpfull: Yes(37) No(7)
• To find out the last 2 digits of a term where the number ends with 1, multiply the tens digit of the number with the last digit of the exponent This will give you the tens digit Unit digit will always be 1
  for here, taking 1021---> for units place 1^n= 1
  for tens place 2*1=2
  last 2 digits = 21
  similarly, 2081---> 1^n=1
  8*1=8
  last 2 digits= 81
  sum= 21+81=102
• 8 years agoHelpfull: Yes(12) No(1)
• but how u got 21 and 81 as last two digit....pls xplain :P :D
• 10 years agoHelpfull: Yes(8) No(4)
• But 81+21 is 102.. how it is 101 ???
• 10 years agoHelpfull: Yes(7) No(4)
• 1021^3921 = last two digit will be 21 .... 3081^3921 = last two digit will be 81 .. adding them = 81+21 = 101 .. that's 01... 01 is the answer...
• 10 years agoHelpfull: Yes(3) No(28)
• any one plz share the trick plz....how did u get the last digits as 21 and 81,,,is this the funda of even or od,,,plz explain the trick plz.....
• 10 years agoHelpfull: Yes(3) No(1)
• (1020+1)^3921
  by using binomial theorem we will get last two digits as=21
  (3080+1)^3921
  by using binomial theorem we will get last two digits as=81
  81+21= last two digits 02
• 10 years agoHelpfull: Yes(3) No(0)
• 1021^3921 = -----21 .... 3081^3921 = ------81 now 81+21 = 101 e.i 01
• 10 years agoHelpfull: Yes(1) No(8)
• my mistake its 02
• 10 years agoHelpfull: Yes(1) No(3)
• 21+81=102 so last 2 digits 02
  
• 10 years agoHelpfull: Yes(1) No(0)
• 02 last two digit
• 10 years agoHelpfull: Yes(0) No(3)
• last 2 digits = 02
• 8 years agoHelpfull: Yes(0) No(0)
• When a no ends with 1 the last digit is 1.
  For last 2nd digit the short cut is
  1021-tenths place digit*unit place digit of the power=2(1)=2
  similarly for the second no 3081 it is 8(1)=8
  so the last two digits are 21+81=102.
  so answer is 02.
• 8 years agoHelpfull: Yes(0) No(0)
• 1021^3921=last 2 digit(21)
  3081^3921=last 2 digit(81)
  so, 21+81=102
  
  means last two digit will be 02
• 7 years agoHelpfull: Yes(0) No(0)