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

a)6
b)4
c)7
d)3

• use reminder theorem. here it is given as 50^51^52. but consider it as 50*51*52 so when it is divided by 11 it gives -ve remainder of (-5)*(-4)*(-3) = 20*(-3) again use remainder theorem so now it becomes (-2)*(-3) = 6. so the ans is 6. But note that it is valid only in case of consecutive no. i.e 50,51,52 or 34,35,36 but not in case when it is given 30^72^87 etc
• 10 years agoHelpfull: Yes(44) No(4)
• answer is 6
  51^52 will give a no with unit digit 1
  50^some no with unit digit 1=((50)^some no having 0 unit digit)*50
  =some no with 0 unit digit *50
  50 divided by 11 gives 6.
• 10 years agoHelpfull: Yes(14) No(3)
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• 10 years agoHelpfull: Yes(11) No(0)
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• 3..using the reminder theorem
• 9 years agoHelpfull: Yes(1) No(1)
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