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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

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

A number when divided by 48 gives 47 as remainder and x as quotient, the same number when divided by 49 gives 8 as remainder and y as quotient. What is the minimum possible value of x?

The large number (123456...424344) has been formed by concatenating the integers 1 to 44. What is the remainder when it is divided by 45?

Note: solve without calculation...