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If j and k are positive integers where k > j, what is the

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by BTGmoderatorDC » Mon Mar 04, 2019 5:26 pm

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A

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C

D

E

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If j and k are positive integers where k > j, what is the value of the remainder when k is divided by j?

(1) There exists a positive integer m such that k = jm + 5.

(2) j > 5

OA C

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Source: — Data Sufficiency |

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by Ian Stewart » Tue Mar 05, 2019 10:27 am
Statement 1 says, in words, "k is 5 greater than some multiple of of j". If j > 5, then that's just another way of saying "the remainder is 5 when we divide k by j". But we don't know if j > 5, using only Statement 1. If j=2, say, then it's impossible for the remainder to be 5 when we divide by j; in this case the remainder would be 1. So we need Statement 2 (which is clearly insufficient alone), and the answer is C.
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