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If n and m
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16 Apr 2021, 07:16
16 Apr 2021, 07:16
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If n and m are even integers, which of the following are even integers?
Select all that apply
A. \(3mn\)
B. \((3m+2)(3n-2)\)
C. \(3(2m-3)(3n-1)\)
D. \(5(5m+2)(5n-6)\)
E. \(\frac{1}{64}m^3n^3\)
F. \(m^2n^3\)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Select all that apply
A. \(3mn\)
B. \((3m+2)(3n-2)\)
C. \(3(2m-3)(3n-1)\)
D. \(5(5m+2)(5n-6)\)
E. \(\frac{1}{64}m^3n^3\)
F. \(m^2n^3\)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Official Answer
A,B,D,F
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If n and m
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16 Apr 2021, 20:52
16 Apr 2021, 20:52
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Carcass wrote:
If n and m are even integers, which of the following are even integers?
Select all that apply
A. \(3mn\)
B. \((3m+2)(3n-2)\)
C. \(3(2m-3)(3n-1)\)
D. \(5(5m+2)(5n-6)\)
E. \(\frac{1}{64}m^3n^3\)
F. \(m^2n^3\)
Select all that apply
A. \(3mn\)
B. \((3m+2)(3n-2)\)
C. \(3(2m-3)(3n-1)\)
D. \(5(5m+2)(5n-6)\)
E. \(\frac{1}{64}m^3n^3\)
F. \(m^2n^3\)
\(n = even\) and \(m = even\)
A. \(3mn\)
\((3)(e)(e) = even\)
B. \((3m+2)(3n-2)\)
\([3(e) + 2][3(e) - 2] = (e)(e) = even\)
C. \(3(2m-3)(3n-1)\)
\(3[2(e) - 3][3(e) - 1] = 3(odd)(odd) = odd\)
D. \(5(5m+2)(5n-6)\)
\(5[5(e) + 2][5(e) - 6] = 5(e)(e) = even\)
E. \(\frac{1}{64}m^3n^3\)
\((\frac{1}{2})^6 (e^3)(e^3)\) - Cannot say as \(m\) and \(n\) can have factors other than \(2\), which can make this expression as \(odd\)
F. \(m^2n^3\)
\((e^2)(e^3) = even\)
Hence, option A, B, D and F
gmatclubot
If n and m [#permalink]
16 Apr 2021, 20:52
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