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# If x is a positive integer, is the remainder 0 when 3^x + 1

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Intern
Joined: 08 Nov 2008
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If x is a positive integer, is the remainder 0 when 3^x + 1 [#permalink]  11 Nov 2008, 16:49
If x is a positive integer, is the remainder 0 when 3^x + 1 is divided by 10?
(1) x = 4n + 2, where n is a positive integer.
(2) x > 4

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
Director
Joined: 14 Aug 2007
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Re: reminder--27 [#permalink]  11 Nov 2008, 17:50
gorden wrote:
If x is a positive integer, is the remainder 0 when 3^x + 1 is divided by 10?
(1) x = 4n + 2, where n is a positive integer.
(2) x > 4

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

A.

for 3 the units digit of power is 9 when power = 4*n + 2 where n >=0,

(+1 to this power will give us a number divisible by 10)
Re: reminder--27   [#permalink] 11 Nov 2008, 17:50
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