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# if X is an integer, is 3^x+1 divisible by 10? I. x=4y+2 II.

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Director
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if X is an integer, is 3^x+1 divisible by 10? I. x=4y+2 II. [#permalink]

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22 Feb 2006, 02:13
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

if X is an integer, is 3^x+1 divisible by 10?

I. x=4y+2
II. x>4
Director
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22 Feb 2006, 02:35
Without proper calculations i would choose B....

Thus the answer would be NO...

However done this in 5 seconds , so might have done a mistake somewhere....
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22 Feb 2006, 02:40
I would say E.

1) x=4y+2
Without any info on y x may be any integer. So we can't say if 3^x+1 div by 10. Insuff.

2) x>4
x=5: 3^5+1=244 not div by 10
x=6: 3^6+1=730 div by 10
Insuff.

1+2)
y=3/4 => x=5 so not div by 10
y=1 => x=6 so div by 10
Insuff.
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22 Feb 2006, 02:53
petefroml wrote:
I would say E.

1) x=4y+2
Without any info on y x may be any integer. So we can't say if 3^x+1 div by 10. Insuff.

2) x>4
x=5: 3^5+1=244 not div by 10
x=6: 3^6+1=730 div by 10
Insuff.

1+2)
y=3/4 => x=5 so not div by 10
y=1 => x=6 so div by 10
Insuff.

I'm afraid that when you choose x=6, this means 3^7....
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22 Feb 2006, 03:53
[quote="SimaQ"] I'm afraid that when you choose x=6, this means 3^7....[/quote]

I guess the we need to find if (3^x)+1 is divisible by 10. Otherwise it makes no sense.
[#permalink] 22 Feb 2006, 03:53
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# if X is an integer, is 3^x+1 divisible by 10? I. x=4y+2 II.

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