Given, N = 98765432109876543210 ..... up to 1000 digits, find the smallest natural number n such that N + n is divisible by 11.
A. 2
B. 3
C. 4
D. 5
Answer: Option D
Solution(By Examveda Team)
For a no. to be divisible by 11,Sum(odd digit nos) - Sum(even digit nos) = 0 or divisible by 11
If we look at 9876543210, the difference we get is 5
i.e. [(9 + 7 + 5 + 3 + 1) - (8 + 6 + 4 + 2 + 0) = 5]
The series is up to 1000 digit,
That means, we get $$\frac{{1000}}{{10}}$$ = 100 time 5,
then the difference will be 5 × 100 = 500
In order for the difference to be divisible by 11, we need to add 5 and the no will become 505
505 is divisible by 11
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Comments ( 3 )
Related Questions on Number System
Three numbers are in ratio 1 : 2 : 3 and HCF is 12. The numbers are:
A. 12, 24, 36
B. 11, 22, 33
C. 12, 24, 32
D. 5, 10, 15
yes its 506. 505 is not divisible. Hw is 5+5 - 0 = 10 is div by 11?
answer will be "6", science 506 is divisible by 11.
505 is not divisible by 11