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

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Director
Joined: 08 Jul 2004
Posts: 604
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Kudos [?]: 94 [0], given: 0

If n is a positive integer, what is the remainder when it [#permalink]  28 Sep 2004, 07:41
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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
Joined: 31 Dec 1969
Location: India
Concentration: Strategy, Human Resources
GMAT 1: 710 Q49 V0
GMAT 2: 740 Q40 V50
GMAT 3: 700 Q48 V38
GMAT 4: 710 Q45 V41
GPA: 3.31
Followers: 0

Kudos [?]: 93 [0], given: 88362

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.
GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4309
Followers: 29

Kudos [?]: 236 [0], given: 0

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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Best Regards,

Paul

Senior Manager
Joined: 05 Feb 2004
Posts: 290
Location: USA
Followers: 1

Kudos [?]: 3 [0], given: 0

I'm getting E..........Paul, how about n = 6 for stem 1 & n=20 for stem 2?
Joined: 31 Dec 1969
Location: India
Concentration: Strategy, Human Resources
GMAT 1: 710 Q49 V0
GMAT 2: 740 Q40 V50
GMAT 3: 700 Q48 V38
GMAT 4: 710 Q45 V41
GPA: 3.31
Followers: 0

Kudos [?]: 93 [0], given: 88362

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
Director
Joined: 08 Jul 2004
Posts: 604
Followers: 2

Kudos [?]: 94 [0], given: 0

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
GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4309
Followers: 29

Kudos [?]: 236 [0], given: 0

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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Best Regards,

Paul

Director
Joined: 08 Jul 2004
Posts: 604
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Kudos [?]: 94 [0], given: 0

Paul, 20 also satisfies the condition.
S
GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4309
Followers: 29

Kudos [?]: 236 [0], given: 0

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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Best Regards,

Paul

Manager
Joined: 26 Sep 2004
Posts: 137
Followers: 1

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

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

Manager
Joined: 02 Apr 2004
Posts: 224
Location: Utrecht
Followers: 1

Kudos [?]: 14 [0], given: 0

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
Manager
Joined: 26 Sep 2004
Posts: 137
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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
http://franky4gmat.blogspot.com

Manager
Joined: 21 Aug 2004
Posts: 136
Followers: 1

Kudos [?]: 17 [0], given: 0

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
Director
Joined: 20 Jul 2004
Posts: 593
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Kudos [?]: 54 [0], given: 0

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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