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26 Jul 2019, 01:33
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82% (01:02) correct
18%
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based on 175
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[GMAT math practice question]
When \(n\) is divided by \(3\), the remainder is \(2\). What is the remainder when \(n^2 +2n\) is divided by \(3.\)
\(A. 0\)
\(B. 1\)
\(C. 2\)
\(D. 3\)
\(E. 4\)
When \(n\) is divided by \(3\), the remainder is \(2\). What is the remainder when \(n^2 +2n\) is divided by \(3.\)
\(A. 0\)
\(B. 1\)
\(C. 2\)
\(D. 3\)
\(E. 4\)
26 Jul 2019, 01:49
Kudos
Bookmarks
n=3k+2
\(n^2+2n= (3k+2)^2+2(3k+2)\)
\(n^2+2n= 9k^2+12k+4+6k+4\)
\(n^2+2n= 9k^2+12k+6k+8\)
\(n^2+2n= 9k^2+12k+6k+6+2\)
\(n^2+2n= 3(3k^2+4k+2k+2)+2\)
\(n^2+2n= 3X+2\)
\(n^2+2n= (3k+2)^2+2(3k+2)\)
\(n^2+2n= 9k^2+12k+4+6k+4\)
\(n^2+2n= 9k^2+12k+6k+8\)
\(n^2+2n= 9k^2+12k+6k+6+2\)
\(n^2+2n= 3(3k^2+4k+2k+2)+2\)
\(n^2+2n= 3X+2\)
MathRevolution
[GMAT math practice question]
When \(n\) is divided by \(3\), the remainder is \(2\). What is the remainder when \(n^2 +2n\) is divided by \(3.\)
\(A. 0\)
\(B. 1\)
\(C. 2\)
\(D. 3\)
\(E. 4\)
When \(n\) is divided by \(3\), the remainder is \(2\). What is the remainder when \(n^2 +2n\) is divided by \(3.\)
\(A. 0\)
\(B. 1\)
\(C. 2\)
\(D. 3\)
\(E. 4\)
26 Jul 2019, 03:43
Kudos
Bookmarks
MathRevolution
[GMAT math practice question]
When \(n\) is divided by \(3\), the remainder is \(2\). What is the remainder when \(n^2 +2n\) is divided by \(3.\)
\(A. 0\)
\(B. 1\)
\(C. 2\)
\(D. 3\)
\(E. 4\)
When \(n\) is divided by \(3\), the remainder is \(2\). What is the remainder when \(n^2 +2n\) is divided by \(3.\)
\(A. 0\)
\(B. 1\)
\(C. 2\)
\(D. 3\)
\(E. 4\)
When \(n\) is divided by \(3\), the remainder is \(2\).
Let n=2, since \(\frac{2}{3} =\) 0 R2.
What is the remainder when \(n^2 +2n\) is divided by \(3\)?
Testing n=2, we get:
\(\frac{n^2+2n}{3}\) = \(\frac{2^2+2*2}{3}\) =\(\frac{8}{3}\) = 2 R2
