Sum of digits: think carefully
Number Theory
Level
2
It is known the 7-digit positive integer is a multiple of 4. What is the largest possible value of the sum of the digits of ?
59
63
58
62
60
61
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1 solution
If you choose the option '60', you may think of the number 9999996, which is a multiple of 4 and it is the largest 7-digit number. However, the question asks for the largest value of the sum of the digits of N , it does not mean that N is the largest number. In this case, N = 9 9 9 9 9 8 8 , and the sum of its digits is 6 1 .