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what is the remainder 121212......(300 digit) is divided by 99?
Read Solution (Total 15)
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- 12%99=12
1212%99=24
121212%99=36
so using this series we get:
1212...300 times%99=12*300/2=1800
1800%99=18
18ANS - 11 years agoHelpfull: Yes(39) No(9)
- 12%99=12
1212%99=24(12*2)
121212%99=36(12*3)
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12....300 times%99=12*150
therefore (12*150)%99=18
Ans:- 18 - 11 years agoHelpfull: Yes(14) No(5)
- when 12 is divided dy 99,remainder is 12 so pairs of 12 are 150 in 121212......(300 digit)so calculate 150%99 = 1.5, 12 multiplied with 1.5 gives 18.
- 11 years agoHelpfull: Yes(13) No(9)
- The correct answer is 18.
- 11 years agoHelpfull: Yes(7) No(5)
- we have to check for 9*11
the given number is divisbl by 9 as the sum is divisible by 9.
for 11 it the difference of the (sum of the even place - the sum of odd place) shud be equal to 0 or divisible by 11. but it gives a remainder 7 so the remainder will be 7 - 11 years agoHelpfull: Yes(5) No(3)
- 12%99*150%99=====>18
- 11 years agoHelpfull: Yes(4) No(2)
- (12*150)/99 so the correct ans is 36
- 11 years agoHelpfull: Yes(4) No(5)
- 121/99===> remainder = 22 now 12121212121....300 = (121)(121)...100
so, (22*100)/99 ====> rem 22 - 11 years agoHelpfull: Yes(3) No(10)
- I think question is about remainder..not quotient
so ans will be 2..
- 11 years agoHelpfull: Yes(3) No(0)
- 12(10^0+10^2+............+10^298)
12((10^2)^0+(10^2)^1+.........+(10^2)^149)
100%99=1
SO, 12(1+1+1+..........+149 TIMES)
12*149mod99
4*149 mod 33
4*17 mod 33
68mod33
=2
ans - 11 years agoHelpfull: Yes(2) No(2)
- sorry there was a mistake in my solution
we have to check for 9*11
the given number is divisbl by 9 as the sum is divisible by 9.
for 11 it the difference of the (sum of the even place - the sum of odd place) shud be equal to 0 or divisible by 11. but it gives a remainder 7
so 18 will be its answer as 18 is completely divided by 9 and it gives 7 as remainder as well when divided by 11.. - 11 years agoHelpfull: Yes(2) No(2)
- 1212%99 =24,
12121212%99=48=24*2
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1212....300= 75*24%99=18 Ans. - 11 years agoHelpfull: Yes(1) No(1)
- 121%99=22
121121%99=22*2
as we taken three terms bcoz given 300(3 digit)
so taken 121 then 121121....
upto 121121.....upto 300term=(22*100)%99=22 so ans is 22 - 11 years agoHelpfull: Yes(1) No(2)
- soory we need to consider 121212 /99 it leaves a remainder 36
so 36*50/99 leaves a remainder 18 - 11 years agoHelpfull: Yes(0) No(4)
- 18 is the ans
- 11 years agoHelpfull: Yes(0) No(4)
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