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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
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...
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