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

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Manager
Joined: 11 Jan 2007
Posts: 196
Location: Bangkok
Q13: If n is a positive integer, what is the remainder when [#permalink]

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02 Jun 2007, 21:39
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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
_________________

cool

Director
Joined: 26 Feb 2006
Posts: 899

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03 Jun 2007, 00:25
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..
Director
Joined: 26 Feb 2006
Posts: 899

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03 Jun 2007, 00:29
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..
Manager
Joined: 14 Mar 2007
Posts: 96

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03 Jun 2007, 00:53
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.
03 Jun 2007, 00:53
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