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

Question

A four digit positive number, when divided by the sum of the four digit of the number given 226 as quotient and 0 as remainder. If thousand place of the number is 4 and units place is 2 then the difference of hundred place and tens place will be

Answer 1

Number will be something like
123456....616263646

(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

Hence
remainder is six

Comments

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 .

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Oh my bad I will correct it and will update u :)

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Answer is updated please check :)

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Now it is perfectly fine :)