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what is the remainder when 123412341234.....upto 400 digits is divided by 909?
Read Solution (Total 12)
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- 1234%909=325
12341234%909=325*2
1234........400 digits=325*100
ans=(325*100)%909 = 685 - 11 years agoHelpfull: Yes(58) No(2)
- 685 is d correct ans
- 11 years agoHelpfull: Yes(12) No(2)
- @puneet: please explain
- 11 years agoHelpfull: Yes(3) No(0)
- ans :-> 325
123412341234 is completely divisible by 909
400%909 = 4
1234 % 909 = 325 - 11 years agoHelpfull: Yes(3) No(8)
- 1
it is done using g.p. series .
- 11 years agoHelpfull: Yes(1) No(7)
- D ans z 315
- 11 years agoHelpfull: Yes(1) No(1)
- @ramil:
first step 1234(10^396+10^392+10^388.......+1)
now a g.p. is formed inside with a=1 and r=10^4
solve for the value of no. of terms in g.p n=100
find sum of g.p , it will come equal to 999999.......(400times9)/9999
in next step divide by 101 and you will get {1234*(1010101010.......1)}/9*101
now 1010101...1 divisible by 101 so you will get remainder by dividing 1234 by 9 and that is equal to 1. - 11 years agoHelpfull: Yes(1) No(1)
- 1234%909=325
12341234%909=650=325*2
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1234 ..... 1000 times = (325*100)%909=685 Ans. - 11 years agoHelpfull: Yes(1) No(0)
- 1234(4 digit),400/4 gives reminder 0 and q-100
so the reminder 0 - 11 years agoHelpfull: Yes(0) No(2)
- PRE plz provide us the options..
- 11 years agoHelpfull: Yes(0) No(0)
- my be 200 ???
- 11 years agoHelpfull: Yes(0) No(0)
- 1234%909=325
12341234%909=325*2
1234........400 digits=325*100
ans=(325*100)%909 = 685
- 9 years agoHelpfull: Yes(0) No(0)
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