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Updated on: 14 Oct 2016, 05:45
Originally posted by MathRevolution on 11 Oct 2016, 04:57.
Last edited by abhimahna on 14 Oct 2016, 05:45, edited 1 time in total.
Last edited by abhimahna on 14 Oct 2016, 05:45, edited 1 time in total.
Corrected the format
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D
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Difficulty:
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Question Stats:
57% (01:47) correct
43%
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If n and mare positive integers, is \(n^m\)+2n divisible by 3?
1)m=3
2)n=1
1)m=3
2)n=1
11 Oct 2016, 06:46
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MathRevolution
Answer D.
We are given whether [m]n^m+2n [\m] is divisible by 3.
Statement 1 : m = 3.
or I can say [m]n^3+2n [\m] = [m]n(n^2+2) [\m]. This will always be divisible by 3 for any positive integral value of n. Hence, sufficient.
Statement 2 : n =1
or I can say [m]1^m+2 [\m]. Now [m]1^m[\m] will always be equal to 1. So, 1 + 2 = 3. Divisible by 3. Hence , Sufficient.
