December 09, 2018 December 09, 2018 07:00 AM PST 09:00 AM PST Attend this Free Algebra Webinar and learn how to master Inequalities and Absolute Value problems on GMAT. December 10, 2018 December 10, 2018 10:00 PM PST 11:00 PM PST Practice the one most important Quant section  Integer properties, and rapidly improve your skills.
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 51035

For positive integers a, b, and c, where a<b<c, the product abc has ex
[#permalink]
Show Tags
22 Feb 2017, 05:26
Question Stats:
52% (01:23) correct 48% (01:42) wrong based on 172 sessions
HideShow timer Statistics




Manager
Joined: 31 Jan 2017
Posts: 58
Location: India
Concentration: Strategy, Leadership
GPA: 4
WE: Project Management (Energy and Utilities)

Re: For positive integers a, b, and c, where a<b<c, the product abc has ex
[#permalink]
Show Tags
22 Feb 2017, 05:48
Answer : D If product a*b*c has exactly 3 prime factors, a can have maximum 3 prime factors. eg. a= 2^1 * 3^1 * 5^1 b = 2^2 * 3^2 * 5^2 c = 2^3 * 3^3 * 5^3 Now a * b* c = 2^6 * 3^6 * 5^6
_________________
__________________________________ Kindly press "+1 Kudos" if the post helped




VP
Joined: 05 Mar 2015
Posts: 1004

For positive integers a, b, and c, where a<b<c, the product abc has ex
[#permalink]
Show Tags
22 Feb 2017, 07:13
Bunuel wrote: For positive integers a, b, and c, where a<b<c, the product abc has exactly three prime factors. What is the maximum number of prime factors of a?
A. 0 B. 1 C. 2 D. 3 E. 4 for maximum no. of prime factors of a , it should be multiple of three prime nos.(since abc has only three prime factors) and b &c could have any number of those three prime factors in a. say if a =5^x * 7^y * 2^z then b = 5^x * 7^y or any such prime combinations & c= 5^x or 7^y or any combination as per condition a<b<c thus a have max. of 3 prime factors Ans D



Director
Joined: 06 Jan 2015
Posts: 524
Location: India
Concentration: Operations, Finance
GPA: 3.35
WE: Information Technology (Computer Software)

Re: For positive integers a, b, and c, where a<b<c, the product abc has ex
[#permalink]
Show Tags
22 Feb 2017, 09:52
Bunuel wrote: For positive integers a, b, and c, where a<b<c, the product abc has exactly three prime factors. What is the maximum number of prime factors of a?
A. 0 B. 1 C. 2 D. 3 E. 4 Hi GMATPrepNow, Can you throw some light on these kinds of problem? The easiest way to deal?
_________________
आत्मनॊ मोक्षार्थम् जगद्धिताय च
Resource: GMATPrep RCs With Solution



Manager
Joined: 18 Oct 2016
Posts: 139
Location: India
WE: Engineering (Energy and Utilities)

Re: For positive integers a, b, and c, where a<b<c, the product abc has ex
[#permalink]
Show Tags
22 Feb 2017, 11:25
Option DNumber of prime factors of a will be maximum when a has same prime factors as the product a* b* c. So, the maximum number of prime factors a can have = number of prime factors of product a* b* c = 3.
_________________
Press Kudos if you liked the post!
Rules for posting  PLEASE READ BEFORE YOU POST



NonHuman User
Joined: 09 Sep 2013
Posts: 9077

Re: For positive integers a, b, and c, where a<b<c, the product abc has ex
[#permalink]
Show Tags
01 Sep 2018, 10:44
Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up  doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources




Re: For positive integers a, b, and c, where a<b<c, the product abc has ex &nbs
[#permalink]
01 Sep 2018, 10:44






