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Summer Clouds moderators

24/08/2017 at 09:19
Answers
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What is the greatest number N, which, when divided by 7, has a remainder that is equal to the quotient? 
A) 7
(B) 8
(C) 48
(D) 56
(E) 77 




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  • ...
    Phan Thanh Tinh Coordinator 24/08/2017 at 15:59

    Let a be the remainder or the quotient of the division N : 7

    \(\left(a\in N;a< 7\right)\).Then : N = 7a + a = 8a

    N gets the biggest value only when a gets the biggest value or a = 6

    Then, N = 48. So, the answer is C

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  • ...
    Dao Trong Luan 24/08/2017 at 09:58

    We have:

    a : 7 = c [residual d] with c = d and are the minimun. Find a

    But c always diffirent from 0 => c = d > 0

    => Min of c and d = 1

    => a : 7 = c [residual d] <=> a : 7 = 1 [residual 1]

    => a = 1.7 + 1 = 8

    So choose B


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