Re: When m + n is divided by 9, the remainder is 1. If m is divi
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15 Jan 2018, 05:18
Official ANS According to GRE Tutor Economist: Don't understand the explanation
In order for the remainder to be 1 when m + n is divided by 9, the remainders when m and n are divided by 9 should add up to 1.
Since you know that m is divisible by 9, it follows that its remainder must be 0 when divided by 9.
So, you needed to find an answer choice stating that when n is divided by 9, the remainder is 1.
The first thing to recall here is the Rule of Divisibility by 9 states that a number is divisible by 9 if its sum is divisible by 9. In fact, the remainder you get when dividing the sum of the digits of a number by 9 will be the same remainder obtained by dividing the original number by 9.
Out of the answer choices given, only 37 works since the remainder when dividing 37 by 9 is 1.