Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized for You
we will pick new questions that match your level based on your Timer History
Track Your Progress
every week, we’ll send you an estimated GMAT score based on your performance
Practice Pays
we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
It appears that you are browsing the GMAT Club forum unregistered!
Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club
Registration gives you:
Tests
Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.
Applicant Stats
View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more
Books/Downloads
Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
When positive integer n is divisible by 3, the remainder is [#permalink]
30 Jan 2008, 01:04
1
This post received KUDOS
00:00
A
B
C
D
E
Difficulty:
45% (medium)
Question Stats:
77% (01:47) correct
23% (01:42) wrong based on 13 sessions
This topic is locked. If you want to discuss this question please re-post it in the respective forum.
When positive integer “n” is divisible by 3, the remainder is 2; and when positive integer “t” is divided by 5, the remainder is 3. What is the remainder when the product “nt” is divided by 15?
When positive integer “n” is divisible by 3, the remainder is 2; and when positive integer “t” is divided by 5, the remainder is 3. What is the remainder when the product “nt” is divided by 15?
1) n-2 is divisible by 5. 2) t is divisible by 3.
Could you please explain in detail? Thank you.
1) and 2) alone are insufficient
The answer should be (C). The remainder will come to 6
n = 3k + 2 t = 5m + 3
Also (n-2) is divisible by 5 => 3k is divisible by 5 => k is divisible by 5
Similarly, m is divisible by 3
nt = (3k + 2) * (5m + 3) => nt = 15km + 9k + 10m + 6
when divided by 15, you get nt = 15(km + 3k/5 + 5m/3) + 6 since k is divisible by 5 and m is divisible by 3, the first 3 terms are not relevant to the remainder, leaving 6 as the answer. _________________
When positive integer “n” is divisible by 3, the remainder is 2; and when positive integer “t” is divided by 5, the remainder is 3. What is the remainder when the product “nt” is divided by 15?
nt = (3k + 2) * (5m + 3) => nt = 15km + 9k + 10m + 6
when divided by 15, you get nt = 15(km + 3k/5 + 5m/3) + 6 since k is divisible by 5 and m is divisible by 3, the first 3 terms are not relevant to the remainder, leaving 6 as the answer.
When positive integer “n” is divisible by 3, the remainder is 2; and when positive integer “t” is divided by 5, the remainder is 3. What is the remainder when the product “nt” is divided by 15?
1) n-2 is divisible by 5. 2) t is divisible by 3.
Could you please explain in detail? Thank you.
1) and 2) alone are insufficient
The answer should be (C). The remainder will come to 6
n = 3k + 2 t = 5m + 3
Also (n-2) is divisible by 5 => 3k is divisible by 5 => k is divisible by 5
Similarly, m is divisible by 3
nt = (3k + 2) * (5m + 3) => nt = 15km + 9k + 10m + 6
when divided by 15, you get nt = 15(km + 3k/5 + 5m/3) + 6 since k is divisible by 5 and m is divisible by 3, the first 3 terms are not relevant to the remainder, leaving 6 as the answer.
When positive integer “n” is divisible by 3, the remainder is 2; and when positive integer “t” is divided by 5, the remainder is 3. What is the remainder when the product “nt” is divided by 15?
1) n-2 is divisible by 5. 2) t is divisible by 3.
Could you please explain in detail? Thank you.
1) and 2) alone are insufficient
The answer should be (C). The remainder will come to 6
n = 3k + 2 t = 5m + 3
Also (n-2) is divisible by 5 => 3k is divisible by 5 => k is divisible by 5
Similarly, m is divisible by 3
nt = (3k + 2) * (5m + 3) => nt = 15km + 9k + 10m + 6
when divided by 15, you get nt = 15(km + 3k/5 + 5m/3) + 6 since k is divisible by 5 and m is divisible by 3, the first 3 terms are not relevant to the remainder, leaving 6 as the answer.
Jimmy you're right - it should be 2m/3 instead of 5m/3, but shouldn't affect the overall solution _________________
When positive integer “n” is divisible by 3, the remainder is 2; and when positive integer “t” is divided by 5, the remainder is 3. What is the remainder when the product “nt” is divided by 15?