N= (323232 ... 50 digits ) base 9
Find the remainder when N is divided by 8
Options
1,-1,0,3

• 9^32323232.....50digits
  first divide 9 by 8 remainder should be 1
  so 1^32323232.....50 digits divided by 9 remainder should be 1.
  than answer must be 1.
• 10 years agoHelpfull: Yes(36) No(3)
• there is a formula i.e
  (a+1)^n/a always gives a remainder of 1
  so , 9^323232..../8 === (8+1)323232.../8 so remainder == 1
• 10 years agoHelpfull: Yes(9) No(2)
• How you took 9^3232..... Pls explain.
• 10 years agoHelpfull: Yes(3) No(0)
• N=(323232...50 digits)base9 =(3*9^49+2*9^10+..............3*9+2*9^0)base10
  remainnder will be=(3*9^49+2*9^10+..............3*9+2*9^0)/8=(3+2+3+2+3.....+3+2 )8=(25*3+25*2)/8=5
  ans will be 5......but for answer it may have mistakenly written 3
  because 3 will be anser when number of 3 will be 25(25*3)+numbers of 2 will be 24(24*2)=(75+48)/8=3......
  i dont know wheter answer is wrong or my solution.......thnx if somebody go through my explanation plzzz make me correct if i am wrong.....thanku
• 9 years agoHelpfull: Yes(3) No(0)
• use remainder theorem
  f(x)/(x-a)=f(a)
  x=9 , a=1
  9^32323232/(9-1)=1^32323232 which is equal to 1
  
• 10 years agoHelpfull: Yes(2) No(0)
• @dayanand how base 9 becomes 9^323232....upto 50
• 10 years agoHelpfull: Yes(1) No(0)
• 0 be the answer
• 10 years agoHelpfull: Yes(1) No(0)
• @DAYANAND ,AKSASH
  would u plz explain how base OF any number iE nine IN THIS CASE becomes 9 power somthing.........
  
  
• 10 years agoHelpfull: Yes(0) No(0)
• 8 convert on base 9=8
  (3232--------3232)%8=0
• 9 years agoHelpfull: Yes(0) No(0)
• i think the reminder would be 0. Because if we convert (8) with base 10 to (8) with base 9 and then if we divide 3232323232......50times with this then the reminder would be 0.
• 9 years agoHelpfull: Yes(0) No(0)
• 50 digits i.e 25 pair of 32.
  and in base 9 ,the divisibility rule for 8 is sum of digits. so, N=(25*3+25*2) as,[ 3 and 2 from 32]
  and convert 25 to base 10 =23
  nw it will be like N= (23*3 +23*2)in base 10
  converting back to base 9 = 137
  so sum of the digits nw will be 1+3+7 =11 in base 9
  11/8= 3 .
  so ans is 3 as remainder.
• 9 years agoHelpfull: Yes(0) No(2)
• sry cn't specify as rule ,consider it as divisibility check for 8 i.e sum of digits
• 9 years agoHelpfull: Yes(0) No(0)