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You are watching: What is the remainder when the positive integer n is divided by 6

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What is the remainder as soon as the optimistic integer N is divided by 12?1) when N is split by 6, the remainder is 1.2) when N is divided by 12, the remainder is better than 5.Statement 1: N = 6A + 1Integer A might be 0, 1, 2, 3, 4 etcPlugging in because that A, N might then be 1, 7, 13, 19, 25 etcDividing N by 12 yields different values. InsufficientStatement 2: N = 12B + creature > 5For B, i tested 1 and added 6, 7, 8, and 9N might be 18, 19, 30, or 31Dividing N by 12 yields different values. Insufficient1&2) The just overlap in the two lists is N = 19. For this reason the OA is C. However how have the right to I be sure that this is the only number that functions without experimentation many more cases?Thanks so much
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Elite legendary Member Posts: 10392Joined: 23 Jun 2013Location: Palo Alto, CA Thanked: 2867 times Followed by:508 members GMAT Score:800
Hi Poisson,In DS questions, you have to be cautious to pay attention to the concern that is ASKED. Here, when you integrate the 2 Facts, N=19 is no the only value that "fits" (for example, N=7 and N=31 additionally fit). The concern does no ask because that the value of N though - the asks for the remainder as soon as N is split by 12. If friend TEST every of these 3 options, you"ll uncover that the remainder is constantly 7 (and that pattern stop true, which is why the answer is C).GMAT assassins aren"t born, they"re made,Rich
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