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If x is a positive integer, is the remainder 0 when (3x + 1)

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If x is a positive integer, is the remainder 0 when (3x + 1) [#permalink] New post 02 Jan 2013, 09:00
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If x is a positive integer, is the remainder 0 when (3^x + 1)/10?
(1) x = 3n + 2, where n is a positive integer.
(2) x > 4
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Re: If x is a positive integer, is the remainder 0 when (3x + 1) [#permalink] New post 02 Jan 2013, 09:34
curtis0063 wrote:
If x is a positive integer, is the remainder 0 when (3^x + 1)/10?
(1) x = 3n + 2, where n is a positive integer.
(2) x > 4


The remainder will be zero when x is 4n-2 i.e. 2, 6, 10, 14 etc.
Statement 1 tells us that x=5, 8,11, 14 etc Not sufficient
statement 2 is not sufficient
On combinng also, the information is not sufficient.
Hence +1E

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Re: If x is a positive integer, is the remainder 0 when (3x + 1) [#permalink] New post 03 Jan 2013, 14:26
The powers of 3 are as follows: 3,9,27,81,243,729.....The pattern of the units digit is 3,9,7,1,3......

The only way the expression would result in a remainder of 0 is if the numerator is a factor of 10. For that to happen x would need to be 2,6,10,14...and so on.

From statement 1: If n is 4 then there would be a remainder of 0. But if n was 3 that would not hold true
From statement 2: Clearly not sufficient.
1+2 Together still not sufficient.

Answer E.
Re: If x is a positive integer, is the remainder 0 when (3x + 1)   [#permalink] 03 Jan 2013, 14:26
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