Yesterday, Integrated Learning posted a 700 level GMAT question on our blog. Today, they have followed up with the answer:
If a number has remainder c when it is divided by 7 it will have either remainder c or remainder c+7 when divided by 14 (it is of the form 7k+c, and the remainder depends on whether k is even or odd). Thus (1st statement) – we could have a remainder that is less than 5 (eg. 15), and we could have a remainder greater than 5 (eg. 13). The statement is not sufficient.On the other hand (2nd statement) – the remainder when dividing by 14 will always be greater or equal to the remainder when dividing by 7. Therefore statement 2 is sufficient.
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