what will be da unit digit of 1122^1122!?

• 1122! will end with a lot of zeros(which is divisible by 4)
  and 1122^1,1122^2,1122^3,1122^4,1122^5
  ends with 2,4,8,6,2 up to so on.
  so the factorial value divided by 4. and the answer will be 6
• 11 years agoHelpfull: Yes(45) No(3)
• 1122^1122!=(2*561)^1122!
  =>2^1122!*561^1122!
  
  last two digits of 2^1122!=76 and last two digits of 561^1122!= 01
  
  => last two digits of 1122^1122! = 76*01=76
• 11 years agoHelpfull: Yes(14) No(1)
• when the question is in the form of x^y, and when the number ending with 2, divide the number y with 4 and replace it with the remainder you get.
  11221/4=1(remainder)
  (1122)^1 =2( we know that 2^1=2)
  answer is 2
• 11 years agoHelpfull: Yes(7) No(19)
• unit digit is 2
  11221 is multiple of 4 ,therefore it can written a 4*x
  and 2^4=16
  so 6 is the unit digit
  
• 11 years agoHelpfull: Yes(4) No(8)
• @jyothi.....as last digit is asked so see only last digit of 1122 which is 2
  now cyclicity of 2 is 4.......
  when we divide 1122! by 4 the remainder is 0....
  therefore unit digit is 2^4=16....that is 6
• 11 years agoHelpfull: Yes(3) No(0)
• 1122^1122=(561*2)^1122
  =(561^1122)*(2^1122)
  =(unit digit-1)*(2^10^112)*2^2
  =(unit digit-1)*(last digit-6)*4
  =1*6*4
  =last digit is 4
• 11 years agoHelpfull: Yes(2) No(8)
• am not getting the answer..? pls anyone explain it in easyway...
• 11 years agoHelpfull: Yes(1) No(1)
• 6
  1122! is divisible by 4 so
  
• 11 years agoHelpfull: Yes(0) No(0)
• 00 divisible by 4, thus the unit digit will be 6 Ans.
• 11 years agoHelpfull: Yes(0) No(1)
• @JYOTHI AM: if you are not getting the answer then its my suggestion to go through chapter NUMBER SYSTEM from Arun sharma's quantitative aptitude
• 11 years agoHelpfull: Yes(0) No(0)