MathRevolution wrote:
[GMAT math practice question]
If \(n\) is a positive integer, is \(3^4+3^{n+4}\) divisible by \(5\)?
1) \(n\) is an even integer.
2) \(3^8 +3^{n+8}\) is divisible by \(5\).
Statement One Alone:
n is an even integer.
If n = 2, 3^4 + 3^6 = 3^4(1 + 3^2) = 3^4(10), which is divisible by 5.
If n = 4, 3^4 + 3^8 = 3^4(1 + 3^4) = 3^4(82), which is not divisible by 5.
Statement one alone is not sufficient.
Statement Two Alone:
3^8 + 3^{n+8} is divisible by 5.
3^8 + 3^{n+8} = 3^4(3^4 + 3^{n+4})
We are given that 3^8 + 3^{n+8} is
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