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.

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:

82% (01:53) correct
18% (01:06) wrong based on 11 sessions

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?