Find the remainder when 50^51^52 is divided by 11.

1) 6
2) 4
3) 7
4) 3

• As φ(11) = 10
  => 5010k = 1mod11
  So 5152 is to be written in the form of 10k + a.
  Now unit digit of 5152 = 1 => 5152 = 10k + 1.
  => 5051^52 = 50(10k + 1) = 50mod11 = 6mod11
  so answer is 6.
• 11 years agoHelpfull: Yes(1) No(5)
• step1: 50^51^52 can be written as 50^10k+x where k=1,2,3.....
  step2: find the remainder when 50^10 divided by 11 =1
  can be written as 50^10k=1mod11
  step3: find the unit digit of 51^52=1
  50^51^52=50^10k+1=50^1mod 11 = " 6 "
  
• 10 years agoHelpfull: Yes(1) No(0)