1.

which least number should be added to 1000 so that 53 divides the sum exactly

Answer»

when we divide 1000 by 53 we get quotient 18 and remainder is 46. it means number is 7 less than the number so that number is completely divisible . so after adding 7 in 1000 the number becomes 1007 and it is completely divisible by 53. when we divide 1007 by 53, we get quotient 19.

so the least no. which added in 1000 such that number is divisible by 53 is 7.



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