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the positive integer J

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the positive integer J

by sanju09 » Wed Apr 08, 2009 3:50 am
Is the positive integer J divisible by a greater number of different prime numbers than the positive integer k?

(1) J is divisible by 30.

(2) k = 1000.



OA C
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by cramya » Wed Apr 08, 2009 3:59 pm
How's it C?

TOGETHER:


J= 30
K=1000

NO

j= 2*3*5* every prime that exists which is definitely greater than 1000
K=1000

YES

INSUFF

E unless I missed something which is quite possible
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by hypik21 » Wed Apr 08, 2009 7:30 pm
cramya wrote:How's it C?

TOGETHER:


J= 30
K=1000

NO

j= 2*3*5* every prime that exists which is definitely greater than 1000
K=1000

YES

INSUFF

E unless I missed something which is quite possible
Cant J be a number like 500...that is why you need to know what J is to answer the question.
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by vittalgmat » Wed Apr 08, 2009 7:45 pm
E for me as well.

stmt 1 says "J is divisible by 30" ... so J can be any number from 0, 30, 60 .... infinity.

stmt 2 says k = 1000.

J can be a small number say 30. k > J
Since J does not have an upper bound, we can find the number such that has >K prime factors.
let J = a number created by multiplying a 1001 prime numbers starting from 2.
ie 2*3*5*7*11... etc.

so E.
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by cubicle_bound_misfit » Wed Apr 08, 2009 8:27 pm
Is the positive integer J divisible by a greater number of different prime numbers than the positive integer k?

(1) J is divisible by 30.

(2) k = 1000.



Tje question basically asks if j has n number of prime divisors
and k has m number of prime divisors then is n> m?

stmt 1) we get to know that j has at least 3 prime integers 2, 3,5 as divisor. no info bout k.

stmt 2) We get to know that k has two prime integers 2 and 5 as divisors. no info bout j.

combining we can answer the question as can be seen from above discussion.

Hence C.
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by gmat740 » Wed Apr 08, 2009 9:26 pm
Even I find E to be the answer

Sanju can you verify if the OA is E?
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by sanju09 » Thu Apr 09, 2009 12:26 am
J is not given equal to 30, cramya!

J cannot be 500, hypic21!

J cannot take 0 value, vittalgmat!

Now, when the two statements were taken together, we realize that J being a positive integer divisible by 30, would have 2, 3, 5 and/or more prime factors, whereas k = 1000 has only two prime factors, 2 and 5.

Hence, yes! The positive integer J is divisible by a greater number of different prime numbers than the positive integer k.

Why not C, links? :roll:
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by sacx » Thu Apr 09, 2009 1:38 am
cramya wrote:How's it C?

TOGETHER:


J= 30
K=1000

NO

j= 2*3*5* every prime that exists which is definitely greater than 1000
K=1000

YES

INSUFF

E unless I missed something which is quite possible
Whats happening mate...this is the second thread where you have got the wrong answer. Its not a big deal getting 2 wrong but the standards you have set here for yourself and for us, even getting 2 wrong is a big deal :D

I think you need some alcohol in your blood..relax mate!! :D

All the best!!!
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by sanju09 » Thu Apr 09, 2009 1:50 am
No! I can't share alcohol with anybody here! Let's not come out of our nuts here, remember, sacx! Cramya is far senior to many of us, including myself, on this forum at least. Mockery is simply not cool, mate :)
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by cramya » Thu Apr 09, 2009 6:12 am
Sacx,
Thanks for your encouraging/boozefilled :lol: words. Good luck to you too!



Sanju,



Thank u for the kind words.
J is not given equal to 30, cramya!
I understand that all I am saying is let j=30(J is something divisible by 30 and it can be 30 is my point) k=1000 the answer is NO


I am sure some would agree and some not which always happens when there are 2 different points of view.


In my opinion the question can be interpretted 2 different ways:


1) Are the number of distinct prime factors of J greater than the number of distinct prime factors of K

If this is the case I totally agree its C.

2) Is the positive integer J itself divisible by a greater than just K itself i.e. literally taken as 1000 i.e. simply put does J have more than 1000 distinct prime factors


Most of us that choose E went with the second interpretation of the question.

Ian has mentioned in a few posts about ambiguity in the wording of questions and real GMAT/GMAC questions will never be so. I am sure we can have a few others look at this and hopefully I can correct myself if the second interpretation is out of question.


Just curious if this is one of your questions as I read in one of your posts where u said u try to make up GMAT type questions, which is good. Keep posting the good ones as it can only get better when the discussions are healthy.

:D


Regards,
CR
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by sanju09 » Fri Apr 10, 2009 2:03 am
How do one interpret this?

"Is A higher in rank than B?

(1) A was born in a ladies ward.

(2) B is just a boy."

Will one interpret that A is a unique to be born in a ladies ward and/or boy is the rank of B?

Cramya? :roll:
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by cramya » Fri Apr 10, 2009 5:19 am
Sanju,
If u r trying to drive the point that the 2nd interpretation is not possible that's ok, I get it.

I was explaining the interpretation possible that would lead to E. I am not able to convince myself that only 1 interpretation was possible from the wordings. A few other reponses were E too so not sure how folks interpretted it. Oh well who knows, I could be mistaken and if so I stand corrected like I mentioned in my previous post.

Anyways we will leave it at that and just move on. I see where u r coming from also so keep posting the good questions.



Regards,
CR
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by sanju09 » Fri Apr 10, 2009 5:36 am
cramya wrote
I see where u r coming from also
What's wrong with my origin cramya? Is India Taliban? :shock: :? :roll: :o :) :D :oops: B-)
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by cramya » Fri Apr 10, 2009 5:39 am
What's wrong with my origin cramya? Is India Taliban?
I see where u r coming from is to be understood as " I see ur point" and it has nothing to do with anything else u mentioned in ur post.

I am hoping u were not serious.

Regards,
CR
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by sanju09 » Fri Apr 10, 2009 5:45 am
cramya wrote:
What's wrong with my origin cramya? Is India Taliban?
I see where u r coming from is to be understood as " I see ur point" and it has nothing to do with anything else u mentioned in ur post.

I am hoping u were not serious.

Regards,
CR
Never mind! Please pick your favorite gestures out of 8 displayed above. I use to be serious on grave-yards only :wink:
The mind is everything. What you think you become. -Lord Buddha



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