remainder

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remainder

by grandh01 » Wed Aug 08, 2012 3:17 pm
When 10 is divided by the positive
integer n, the remainder is n -4.
Which of the following could be the
value of n?
(A) 3 (B) 4 (C) 7
(D) 8 (E) 12
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by adthedaddy » Wed Aug 08, 2012 5:09 pm
Going by options,

10 div by 7 gives a remainder of 3 ie. n-4 (7-4=3)

Thus, ans is (C)

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by alex.gellatly » Wed Aug 08, 2012 8:22 pm
grandh01 wrote:When 10 is divided by the positive
integer n, the remainder is n -4.
Which of the following could be the
value of n?
(A) 3 (B) 4 (C) 7
(D) 8 (E) 12
Although there is an algebraic approach I'm sure, for this question the best(and fastest) why would be to simply plug in answers. I like to start with C (that why I know whether to increase or decrease)

So lets see:
C. 10/7 = 1 + Remainder of 3
7-4= 3 we already have a match! Choose C
A useful website I found that has every quant OG video explanation:

https://www.beatthegmat.com/useful-websi ... tml#475231