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A 120 digit number is formed like ::123456789101112131415.... Find remainder when this number is divided by 8 ?

+1 vote
A 120 digit number is formed like ::123456789101112131415.... Find remainder when this number is divided by 8 ?
posted May 19, 2015 by Ankit Kamboj

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1 Answer

+2 votes
Best answer

Number will be something like

(a+b)mod n = a mod n + b mod n so
(123...616263000+646) mod 8 = 123...616263 mod 8 + 646 mod 8
1000 or any multiple of it remainder is zero so
= 0 + 646 mod 8
= 0 + 6

remainder is six

answer May 19, 2015 by Salil Agrawal
Dear Sir, the number would be like 1234..... , it has 120 terms , probably i think it may not go till 120 , i still have doubt .
Oh my bad I will correct it and will update u :)
Answer is updated please check :)
Now it is perfectly fine :)

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