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

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Senior Manager
Joined: 20 Feb 2006
Posts: 331
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Another one just for your practice.. 7. What is the [#permalink]  03 Jul 2006, 18:25
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.
Manager
Joined: 19 Apr 2006
Posts: 231
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Re: reminder - for practice.. [#permalink]  03 Jul 2006, 20:01
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
Joined: 20 Feb 2006
Posts: 331
Followers: 1

Kudos [?]: 20 [0], given: 0

Re: reminder - for practice.. [#permalink]  03 Jul 2006, 20:04
acfuture 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 ..
Manager
Joined: 19 Apr 2006
Posts: 231
Followers: 1

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E

there is a pattern and the units digit is going to be 9.
CEO
Joined: 20 Nov 2005
Posts: 2910
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
Followers: 19

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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.
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

SVP
Joined: 30 Mar 2006
Posts: 1737
Followers: 1

Kudos [?]: 46 [0], given: 0

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

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