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# When positive integer n is divided by 3, the reminder is 2;

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Intern
Joined: 27 Mar 2009
Posts: 12
When positive integer n is divided by 3, the reminder is 2; [#permalink]

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27 Mar 2009, 10:36
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When positive integer n is divided by 3, the reminder is 2; and when positive integer t is divided by 5, the reminder is 3. What is reminder when the product n*t is divided by 15.
1)(n-2) is divisible by 5.
2)T is divisible by 3.

pl explain... DS Question.

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Manager
Joined: 28 Jul 2004
Posts: 135
Location: Melbourne
Schools: Yale SOM, Tuck, Ross, IESE, HEC, Johnson, Booth
Re: DS... [#permalink]

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27 Mar 2009, 15:15
zaz wrote:
When positive integer n is divided by 3, the reminder is 2; and when positive integer t is divided by 5, the reminder is 3. What is reminder when the product n*t is divided by 15.
1)(n-2) is divisible by 5.
2)T is divisible by 3.

pl explain... DS Question.

Putting in the numbers is to easy way to find the solution:

from the problem stem we have possible values for n and m as :
n= 8, 14, 17, 23, .....
T= 8, 13, 18, 23, 28, ....

from (1), (n-2) is divisible by 5 --> n = 17 ,... (other values , we need to consider just one). This talks nothing about "t". Not Sufficient

from (2), t is divisible by 3 which means T = 18, 33 ,... . This talks nothing about "n", hence not sufficient.

Combining (1) and (2), we have to find the value of n x T/15.

for [n,t] = [17, 18] = 17 x 18/15 --> remainder is "2"

for [n, t] = [17, 33] = 17 x 33/15 --> remainder is "2".

SO, the remainder is "2" for all such values of [n, t]. Hence answer is "C".

n x T/15
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kris

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Joined: 30 Nov 2008
Posts: 479
Schools: Fuqua
Re: DS... [#permalink]

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27 Mar 2009, 15:53
See if this link can find some information.

gmatprep-75219.html
Manager
Joined: 19 Aug 2006
Posts: 226
Re: DS... [#permalink]

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27 Mar 2009, 19:44
zaz wrote:
When positive integer n is divided by 3, the reminder is 2; and when positive integer t is divided by 5, the reminder is 3. What is reminder when the product n*t is divided by 15.
1)(n-2) is divisible by 5.
2)T is divisible by 3.

pl explain... DS Question.

I think it's C.

Whatever numbers you take for n and t that satisfy the described conditions, the calculation of the final remainder will always be 2.
E.g. take n=17 and t=18, or n=20 and t=23.

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: DS...   [#permalink] 27 Mar 2009, 19:44
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# When positive integer n is divided by 3, the reminder is 2;

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