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:

A natural number p, when divided by a certain divisor q, gives remainder 12, what is the value of q?

Statement 1: When 2p is divided by q, the remainder is 2. Statement 2: When 3p is is divided by q, the remainder is 6.

Hi.. when p is div by q , remainder is 12..

lets see the statements..

Statement 1: When 2p is divided by q, the remainder is 2. If p divided by q , 12 is the remainder. so 2p divided by q should gives us remainder 2*12=24.. but the remainder is 2 so 24-2=22 should be div by q.. q can be 2,11,22 but q>12 as the remainder in initial case was 12 ans q is 22 sufficient

Statement 2: When 3p is is divided by q, the remainder is 6. so remainder should have been 3*12=36.. so 30 is div by q.. so q could be 10,15,30.. but q>12, so possible values 15 or 30... so two values possible Insuff..

A..

the problem with the Q is that it does not give the value 22 in statement II, which is not possible in actual gmat. each statement has to point towards the actual value.. _________________

Re: A natural number p, when divided by a certain divisor q, gives [#permalink]

Show Tags

30 Jul 2017, 10:16

chetan2u wrote:

DH99 wrote:

A natural number p, when divided by a certain divisor q, gives remainder 12, what is the value of q?

Statement 1: When 2p is divided by q, the remainder is 2. Statement 2: When 3p is is divided by q, the remainder is 6.

Hi.. when p is div by q , remainder is 12..

lets see the statements..

Statement 1: When 2p is divided by q, the remainder is 2. If p divided by q , 12 is the remainder. so 2p divided by q should gives us remainder 2*12=24.. but the remainder is 2 so 24-2=22 should be div by q.. q can be 2,11,22 but q>12 as the remainder in initial case was 12 ans q is 22 sufficient

A natural number p, when divided by a certain divisor q, gives remainder 12, what is the value of q?

Statement 1: When 2p is divided by q, the remainder is 2. Statement 2: When 3p is is divided by q, the remainder is 6.

Hi.. when p is div by q , remainder is 12..

lets see the statements..

Statement 1: When 2p is divided by q, the remainder is 2. If p divided by q , 12 is the remainder. so 2p divided by q should gives us remainder 2*12=24.. but the remainder is 2 so 24-2=22 should be div by q.. q can be 2,11,22 but q>12 as the remainder in initial case was 12 ans q is 22 sufficient

Can you please elaborate the above highlighted? Why should it divided by 'q' after subtracting 2 from 24?

Thanks

Hi..

Remember.. 1) whenever you add two numbers, the remainder they leave gets added.. 17 gives a remainder 3 when div by 7 and 22 gives remainder 1 when div by 7.. So 17+22 should give 3+1 when div by 7.. Let's see 17+22=39.. remainder is 4 as 39-35 2) next when you multiply two numbers their remainder gets multiplied.. Say 8 gives a remainder 1 when div by 7 and 2 gives a remainder 2.. So 8*2 should give 1*2 or 2 when div by 7.. Let's see 8*2=16.. leaves a remainder 2, 16-12..

The point (2) I the reason why we multiply 2*11

Now 24 should have been the remainder but it is 2 so 24-2 should be div.. You can see that thru equation also

A natural number p, when divided by a certain divisor q, gives [#permalink]

Show Tags

28 Nov 2017, 12:37

Answer must be A.

Let \(p = aq + 12\), where a is any integer => \(2p = 2aq + 24\) => \(3p = 3aq + 36\)

Statement 1: 2p divided by q leaves 2 as remainder => \(2p = bq + 2\) from above, \(2p = 2aq + 24\), equating both => \(bq + 2 = 2aq + 24\) => \(q = 22/(b - 2a)\) => q has to be factor of 22, however can't be less than 12, it leaves remainder 12, so only factor of 22, greater than 12 is 22 itself, so q = 22 -> Sufficient

Statement 2:

3p divided by q leaves 6 as remainder => \(3p = cq + 6\) from above, \(3p = 3aq + 36\), equating both => \(cq + 6 = 3aq + 36\) => \(q = 30/(c - 3a)\) => q has to be factor of 30, possible values are 15, 30 (which are greater than 12) => Not Sufficient.

chetan2uBunuel But Statement 1 and 2 contradicting each other, statement 1: q -> 12 and statement 2: q -> {15,30}

Re: A natural number p, when divided by a certain divisor q, gives [#permalink]

Show Tags

28 Nov 2017, 22:47

hellosanthosh2k2 wrote:

Answer must be A.

Let \(p = aq + 12\), where a is any integer => \(2p = 2aq + 24\) => \(3p = 3aq + 36\)

Statement 1: 2p divided by q leaves 2 as remainder => \(2p = bq + 2\) from above, \(2p = 2aq + 24\), equating both => \(bq + 2 = 2aq + 24\) => \(q = 22/(b - 2a)\) => q has to be factor of 22, however can't be less than 12, it leaves remainder 12, so only factor of 22, greater than 12 is 22 itself, so q = 22 -> Sufficient

Statement 2:

3p divided by q leaves 6 as remainder => \(3p = cq + 6\) from above, \(3p = 3aq + 36\), equating both => \(cq + 6 = 3aq + 36\) => \(q = 30/(c - 3a)\) => q has to be factor of 30, possible values are 15, 30 (which are greater than 12) => Not Sufficient.

chetan2uBunuel But Statement 1 and 2 contradicting each other, statement 1: q -> 12 and statement 2: q -> {15,30}

Hi

Its okay the statements are contradicting each other here, since ONLY one statement is giving us the answer. (statement 1)

We should not have a scenario where the answer is D (from each statement alone) and we get different/contradicting answers from the two statements. Then thats an issue and we need to check whether we have done everything correct or not.

Eg; if our answer is D, and we are getting q=22 from first statement and q=15 from second statement THEN thats a problem.