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 350,000 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:

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

guys ...i just didnt get this problem.... pls can some one tell me what exactly is being asked?? and how to start analysis of such problems... also what difficulty level is this problem at? on a scale of 1 to 5? 5 being most difficult...

and what is the meaning of sentence 1?? it says m has 9 +ve factors. in the stem it says m has 2 prime factors... how can a no. have factors like this?? is it that square and cube of the basic prime nos are also considered?? how do we start thinking abt such problems on the exam day???

well, does'nt look like it is asking that.. it asks if m is divisible by p^2*t. i dont think that is the same thing as is power of p>=2.... right??? or.... wrong

what it looks to be asking is when m/p^2*t, do we get an integer??? but i think that if p and t divide m , then p^2 usually divides right, unless the m itself <p^2*t. eg , take 6. it is divisible by 2 and 3 , but not by 2^2*3, but that is bcos p^2*t>m for this example... but what is the problem asking us?

well, does'nt look like it is asking that.. it asks if m is divisible by p^2*t. i dont think that is the same thing as is power of p>=2.... right??? or.... wrong

I have rephrased the question. Thereby it looks different. If M is divisible by p^2t then of course it means that m has factor of p equal to or more than 2 and also that m has a factor of t.

guys ...i just didnt get this problem.... pls can some one tell me what exactly is being asked?? and how to start analysis of such problems... also what difficulty level is this problem at? on a scale of 1 to 5? 5 being most difficult...

and what is the meaning of sentence 1?? it says m has 9 +ve factors. in the stem it says m has 2 prime factors... how can a no. have factors like this?? is it that square and cube of the basic prime nos are also considered?? how do we start thinking abt such problems on the exam day???

1: to have more than 9 +ve factors, either, at least, p = 4 and t = 1, or p = 1 and t = 4. nsf. 2: m is a multiple of p^3 means m is also a multiple of p^2t. suff

well, does'nt look like it is asking that.. it asks if m is divisible by p^2*t. i dont think that is the same thing as is power of p>=2.... right??? or.... wrong

I have rephrased the question. Thereby it looks different. If M is divisible by p^2t then of course it means that m has factor of p equal to or more than 2 and also that m has a factor of t.

That could be a question, but GMAT questions donot have that pattern.

if m can be written as m = p^x * q^y * r ^z where p, q and r are distinct prime numbers number for total +ve factors = (1+x)(1+y)(1+z)

question : m = p^x * t^y is m a mutiple of p^2 * t --> is x >=2

statement 1 : (1+x)(1+y) > 9 .... x,y = 1,4 Or 3,3 Not suff statement 2 : m = k * p^3 ----> x >=3 .. Suff

why this combination?? how did u arrive at that combo of 1,4 or 3,3? why not 2,5 or something like that?

we have to see if (1+x)(1+y) > 9 is enough to prove that x >= 2 or not , so i took two examples with x < 2 and x > 2. Since both cases are possible, the statement is not suff.

guys ...i just didnt get this problem.... pls can some one tell me what exactly is being asked?? and how to start analysis of such problems... also what difficulty level is this problem at? on a scale of 1 to 5? 5 being most difficult...

and what is the meaning of sentence 1?? it says m has 9 +ve factors. in the stem it says m has 2 prime factors... how can a no. have factors like this?? is it that square and cube of the basic prime nos are also considered?? how do we start thinking abt such problems on the exam day???

given that : Only two prime factors are p,t of m question : m=p^2 * t *n n is any integer n is again product of p,t only since p,t are only prime factors

(1) says m has > 9 positive factors => t^8.p or p^8.t or t^2*p^7 etc hence when m=p*t^8 then its not the multiple of p^2 *t when m = p^8.t then its the multiple of p^2 *t INSUFFI

(2) says m is multiple of p^3 also only two prime factors of m are p,t hence p^3 * p^k * t^l is possible hence always multiple of p^2*t

I will first take the example and then i will explain it... Say m = 36. So m has 9 factors: 1 2 3 4 6 9 12 18 36. Now only two numbers are prime in this: 2 and 3. say p and t. so p^2*t^2 = m. so, A is definately the answer, because p^2 *t is factor of m, obviously.

Further, in general, we have (a + 1)(b+1)(c+1) factors of a number where a, b, c are powers of prime number in the factors of number....

see, example, 36 has 9 factors....(3)(3)=9. so a = 2, b = 2. because there are only two primes 2, 3.

guys ...i just didnt get this problem.... pls can some one tell me what exactly is being asked?? and how to start analysis of such problems... also what difficulty level is this problem at? on a scale of 1 to 5? 5 being most difficult...

and what is the meaning of sentence 1?? it says m has 9 +ve factors. in the stem it says m has 2 prime factors... how can a no. have factors like this?? is it that square and cube of the basic prime nos are also considered?? how do we start thinking abt such problems on the exam day???

It is B)

Suppose there is a number 12, now it has only two prime factors 2 and 3

Statement 1) is insuff. because you can have \(3^9*2\) and it is not multiple of \(2^2 * 3\) Statement 2) if m is multiple of \(p^3\) then it will be multiple of \(p^2\) as well and t is already another prime factor so multiple of \(p^2 * t\)