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

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Director
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If n is a positive integer, what is the remainder when it [#permalink]

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28 Sep 2004, 08:41
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If n is a positive integer, what is the remainder when it divided by 13?

1)TheÂ  remainder ofÂ  n^2 divided by 13Â  is 10.

2) 13<n<26

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Joined: 31 Dec 1969

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Location: Russian Federation
GMAT 3: 740 Q40 V50
GMAT 4: 700 Q48 V38
GMAT 5: 710 Q45 V41
GMAT 6: 680 Q47 V36
GMAT 9: 740 Q49 V42
GMAT 11: 500 Q47 V33
GMAT 14: 760 Q49 V44
WE: Supply Chain Management (Energy and Utilities)

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28 Sep 2004, 10:05
C?
n=20
remainder = 7

1. Insuff. We have n^2=13q + 10. where q= quotient.
2. Insuff. n can be 14 to 25 and hence the remainder can 1 to 12.

combined n=20 (which is between 14 and 25) satisfies n^2=13q + 10.

Note: (n^2-10) =13q => (n^2-10) has to be a multiple of 13.

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28 Sep 2004, 10:06
wow, I very much doubt you will encounter such a problem in the GMAT.
1) n could be 7 or 19
I had to go through every n^2 b/w 14 and 25 and substract 10 to it to see whether there is a remainder. Only 19 fits the bill. I wonder if there is a faster way to do this
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Paul

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28 Sep 2004, 10:08
I'm getting E..........Paul, how about n = 6 for stem 1 & n=20 for stem 2?

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Joined: 31 Dec 1969

Kudos [?]: [0], given:

Location: Russian Federation
GMAT 3: 740 Q40 V50
GMAT 4: 700 Q48 V38
GMAT 5: 710 Q45 V41
GMAT 6: 680 Q47 V36
GMAT 9: 740 Q49 V42
GMAT 11: 500 Q47 V33
GMAT 14: 760 Q49 V44
WE: Supply Chain Management (Energy and Utilities)

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28 Sep 2004, 10:18
I'm guessing E coz 6,7 both satisfy the same cond

6^2 = 36 leaves a remainder 10 when divided by 13
7^2 = 49 leaves a remainder 10 when divided by 13

and both are between 13 and 26

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Director
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28 Sep 2004, 10:57
I guess it should be E. 19 and 20 both satisfy the condtion in 1 and 2.
This is probably meant to waste time in test I guess!!
S

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28 Sep 2004, 11:06
oops, I meant C as my explanation was for C
6 is excluded when we take B into account because n has to be greater than 13
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Paul

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Director
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28 Sep 2004, 11:10
Paul, 20 also satisfies the condition.
S

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28 Sep 2004, 12:28
saurya_s wrote:
Paul, 20 also satisfies the condition.
S

yes it does. E it is. But still, this is a very tedious problem. You just need brute force here ...
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Paul

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01 Oct 2004, 21:47
Does not seem like a gmat type problem. More like the indian cat..too tedious and given in to waste time. One needs to skip questions like these. of course with GMAT there is no skipping and hence it does not make sense.
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Franky
http://franky4gmat.blogspot.com

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03 Oct 2004, 08:50
I understand your way of thinking myfrankenstein.

However my problem is that I am not on an level to figure out what are real gmat type questions and what are more difficult problems.

My math skills are not super and in The Netherlands, less attention is given to the math. Can anyone help me (or even more of us) what we should consider as real gmat questions. Or is it even better to challenge the difficult questions as well.

Many thanks.

Regards,

Alex

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03 Oct 2004, 09:35
Well yu can't prepare for olympics jumping over yur dinner table, the barrier needs to be higher. With the whole world participating it is olympics in some way:).
The OG will apprise yu ( official gmat guide 10th edition) of the syllabus and the type .
With practise yu will get the feel.
About stress on maths i am sure some stampot & a relaxed mind while practising will do yu good. I don't believe that the people who build such enginnering marvels as the dykes stress less on maths. Some of my sharpest friends have been cloggies
Have a heart and get down with OG.
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Franky
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Manager
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04 Oct 2004, 18:50
Know the ETS can go all the way to frustrate testtakers expecially the moment you start crossing the 40 line. a question of similar difficulty could pop up very early and frustrate your life. never rule something like this out

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Director
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04 Oct 2004, 19:02
sdanquah wrote:
Know the ETS can go all the way to frustrate testtakers expecially the moment you start crossing the 40 line. a question of similar difficulty could pop up very early and frustrate your life. never rule something like this out

I agree. In the test center, there is no one you can complain to. Better chew on whatever you get.

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04 Oct 2004, 19:02
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