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Another one just for your practice.. 7. What is the

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Senior Manager
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Another one just for your practice.. 7. What is the [#permalink] New post 03 Jul 2006, 18:25
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Another one just for your practice.. :)

7. What is the remainder when 9^(12n+3)+10 is divided by 10

(A) 0
(B) 1
(C) 2
(D) 7
(E) 9



Note: This post is updated..

Last edited by sharadGmat on 03 Jul 2006, 20:03, edited 1 time in total.
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Re: reminder - for practice.. [#permalink] New post 03 Jul 2006, 20:01
sharadGmat wrote:
Another one just for your practice.. :)

7. What is the remainder when is divided by 10

(A) 0
(B) 1
(C) 2
(D) 7
(E) 9


I am sorry but I do not understand the question...
when what is divided by 10?
Senior Manager
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Re: reminder - for practice.. [#permalink] New post 03 Jul 2006, 20:04
acfuture wrote:
sharadGmat wrote:
Another one just for your practice.. :)

7. What is the remainder when is divided by 10

(A) 0
(B) 1
(C) 2
(D) 7
(E) 9


I am sorry but I do not understand the question...
when what is divided by 10?


I have updated the post.. Sorry abt the wrong posting .. :)
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 [#permalink] New post 03 Jul 2006, 20:12
E

there is a pattern and the units digit is going to be 9.
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 [#permalink] New post 03 Jul 2006, 20:29
E

(12n+3) is always odd. When (12n+3) is odd then 9^(12n+3) will always have the unit digit as 9. Then 9^(12n+3)+10 will also have a unit digit of 9.

So the remainder will always be 9.
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SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

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 [#permalink] New post 04 Jul 2006, 01:03
E

12n + 3 is a number always divisible by 3

Also 9^3 has unit digit of 9
hence 9^x where x is a number divisble by 3 will have a unit digit 9
Hence 9^(12n+3)/10 has a remainder 9
  [#permalink] 04 Jul 2006, 01:03
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