Too many 7's
Number Theory
Level
pending
Let n be the smallest positive integer such that when it is multiplied by 13, the answer only contains the number 7 (example 777).
What will be the sum of digits in the quotient when n is divided by 13?
The answer is 12.
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1 solution
the number is 59829(to get 59829, divide 777's keep on adding 7 in the dividend by 13 till the remainder becomes 0, you will get 59829 as quotient) Then divide 59829 by 13, the quotient will be 4602. sum of digits of quotient=4+6+0+2=12