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Q13: If n is a positive integer, what is the remainder when

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Manager
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Q13: If n is a positive integer, what is the remainder when [#permalink] New post 02 Jun 2007, 20:39
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A
B
C
D
E

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Q13:
If n is a positive integer, what is the remainder when 3^(8n+3) + 2 is divided by 5?
A.0
B.1
C.2
D.3
E.4

Q18:
What is the value of the integer k?
(1) k + 3 > 0
(2) k^4 <= 0
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Re: PS [#permalink] New post 02 Jun 2007, 23:25
jet1445 wrote:
Q13:If n is a positive integer, what is the remainder when 3^(8n+3) + 2 is divided by 5?
A.0
B.1
C.2
D.3
E.4


E. it should be 4 cuz 8 is multiple of 4.. :lol: :lol: :wink:
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Re: PS [#permalink] New post 02 Jun 2007, 23:29
jet1445 wrote:
Q18: What is the value of the integer k?
(1) k + 3 > 0
(2) k^4 <= 0


B/

from i, k could be -ve or +ve.
from ii, if k^4 is <= 0, then it is 0 cux k^4 cannot be -ve..
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 [#permalink] New post 02 Jun 2007, 23:53
Q13. E

Himalayan. Can you explain your logic.
Mine is a long winded way.
I found a pattern for
3^n + 2 for odd numbers (since 8n+3 is odd)
Then assumed n=1 for the eq. 3^(8n+3) + 2
This would make it 3^11 + 2
Which according to the pattern will have 4 as a remainder.
  [#permalink] 02 Jun 2007, 23:53
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Q13: If n is a positive integer, what is the remainder when

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