MBA
Exam
A 120 digit number is formed by writing first x natural numbers in front of each other as 123456789101112..... Find the remainder when this number is divided by 8?Explain Plz. 1) 2 2) 5 3) 8 4) 7
Read Solution (Total 2)
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- no. of digits=9(1to9)+2(for10)+54*2(11to64)=9+2+108=119
so there is a shortage of one digit which will be fulfilled by the tens digit of 65
so the no. become 12345....3646
now to check that whether a number is divisible by 8 or not we consider the last 3 digits of the number
so considering 646 we get 6 as the remainder when divided by 8
but none of the options is 6
- 10 years agoHelpfull: Yes(2) No(0)
- if this digit completly written...
1234567891011121314.....63646.
from 1 to 9, 9 digit and 11 to 64 54*2=108 digit,then
no of digit=9+2(for 10)+108+1(tens place of 65)=120.
if this number devided by 8 then only reminder are 2,4 or 6.
hence answer is (1)2.
- 11 years agoHelpfull: Yes(0) No(0)
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