Author 
Message 
TAGS:

Hide Tags

Moderator
Joined: 22 Jun 2014
Posts: 1042
Location: India
Concentration: General Management, Technology
GPA: 2.49
WE: Information Technology (Computer Software)

Re: Math Revolution and GMAT Club Contest! If a, b, c are positive
[#permalink]
Show Tags
01 Dec 2015, 12:45
We need to find the smallest possible value of "a", hence, it would best to check the lowest value first from the given option. Can we get 33 on multiplication of three integers a,b,c for which a < b < c? option (A): a = 33 abc = (33)*(1)*(1) here 33 < 1 < 1 Option (A) is the correct answer.
_________________
 Target  720740 http://gmatclub.com/forum/informationonnewgmatesrreportbeta221111.html http://gmatclub.com/forum/listofoneyearfulltimembaprograms222103.html



Current Student
Joined: 14 Jun 2015
Posts: 90
Location: India
GMAT 1: 680 Q46 V37 GMAT 2: 750 Q50 V40
GPA: 3.5
WE: Information Technology (Telecommunications)

Re: Math Revolution and GMAT Club Contest! If a, b, c are positive
[#permalink]
Show Tags
02 Dec 2015, 00:03
If a, b, c are integers, 33 = abc, and a < b < c, what is the smallest possible value of a?
A. 33 B. 3 C. 1 D. 3 E. 11
Since a, b, c are integers, 33 = abc, and a < b < c
Possible values can be a=33 b=1 c=1
Hence Ans: A



Intern
Joined: 22 Dec 2014
Posts: 38

Re: Math Revolution and GMAT Club Contest! If a, b, c are positive
[#permalink]
Show Tags
03 Dec 2015, 10:53
QUESTION #3:
If a, b, c are integers, 33 = abc, and a < b < c, what is the smallest possible value of a?
A. 33 B. 3 C. 1 D. 3 E. 11
Answer: a*b*c=33 => two scenarios: 2 negatives and 1 positive or 3 positives a< b < c => a min when a is negative < b (= negative) < c (= positive) => (a min = 33) < (b = 1) < (c=1)
Answer A



Intern
Joined: 21 Jul 2015
Posts: 34

Re: Math Revolution and GMAT Club Contest! If a, b, c are positive
[#permalink]
Show Tags
03 Dec 2015, 12:34
possible values for a, b, c are 1, 3, 11, 33 or 1, 3, 11, 33 (since a, b, c are integers) any combinations of those such that their product is 33 given a < b < c min possible value for 'a' could be 33 (33)*(1)*(1) = 33 (which satisfies a < b < c)
Answer (A)



Manager
Joined: 02 Nov 2014
Posts: 204
GMAT Date: 08042015

Re: Math Revolution and GMAT Club Contest! If a, b, c are positive
[#permalink]
Show Tags
03 Dec 2015, 13:27
QUESTION #3:
If a, b, c are integers, 33 = abc, and a < b < c, what is the smallest possible value of a?
A. 33 B. 3 C. 1 D. 3 E. 11
Soln: Since, integers \(a*b*c = 33\) and \(a < b < c\), in order to find the minimum value of \(a\) we can simply look at the answer choices and try to equate \(a\) to the lowest available value.
So, the question is: Can \(a\) be as small as \(33\)? Rearranging, we get, \(a*b*c = 33 = (33) * (1) * 1\). So that, \(a=33, b=1 & c=1.\) and these values agree the condition a < b < c. So, smallest value of \(a = 33\). We don't even need to check other options.
Answer: A.



Intern
Joined: 16 Aug 2015
Posts: 4

Re: Math Revolution and GMAT Club Contest! If a, b, c are positive
[#permalink]
Show Tags
04 Dec 2015, 06:01
answer : A (33)
Since abc =33 and a<b<c. a=33 b=1 c=1 abc = (33)x(1)x(1)=33 and also 33<1<1.



Intern
Joined: 10 Sep 2015
Posts: 32

Re: Math Revolution and GMAT Club Contest! If a, b, c are positive
[#permalink]
Show Tags
04 Dec 2015, 07:48
now 33 = 1*3*11
so, smallest value of a is 1
c..



Intern
Joined: 05 Jun 2013
Posts: 35

Re: Math Revolution and GMAT Club Contest! If a, b, c are positive
[#permalink]
Show Tags
04 Dec 2015, 23:42
abc=33, a<b<c.
Smallest possible value for a from answer choice is 33. Lets try 33 for a.
If a= 33, then b should be equal to 1 and c equal to 1 for both equations, abc=33, a<b<c to be satisfied.
Hence a = 33 is answer, which is choice A.



Current Student
Joined: 18 Sep 2014
Posts: 230

Re: Math Revolution and GMAT Club Contest! If a, b, c are positive
[#permalink]
Show Tags
05 Dec 2015, 00:03
If a, b, c are integers, 33 = abc, and a < b < c, what is the smallest possible value of a? A. 33 B. 3 C. 1 D. 3 E. 11 By abc i guess it means axbxc..... Since a,b,c are integers and different as a<b<c; Therefore a= 33 ; b = 1 ; c = 1
_________________
Kindly press the Kudos to appreciate my post !!



Intern
Joined: 21 Nov 2014
Posts: 31
Location: Viet Nam

Re: Math Revolution and GMAT Club Contest! If a, b, c are positive
[#permalink]
Show Tags
06 Dec 2015, 04:31
The smallest value of a is  33 with a = 33, b = 1, c = 1. Hence A.
_________________
GMAT Group for Vietnamese:
https://www.facebook.com/groups/644070009087525/



Intern
Joined: 26 May 2014
Posts: 2

Re: Math Revolution and GMAT Club Contest! If a, b, c are positive
[#permalink]
Show Tags
06 Dec 2015, 09:34
a b c all are integers.
none of them is zero as abc=33
and a<b<c
so answer is a*b*c= 33*1*1



Math Expert
Joined: 02 Sep 2009
Posts: 49430

Re: Math Revolution and GMAT Club Contest! If a, b, c are positive
[#permalink]
Show Tags
14 Dec 2015, 09:01
Bunuel wrote: Math Revolution and GMAT Club Contest Starts! QUESTION #3:If a, b, c are integers, 33 = abc, and a < b < c, what is the smallest possible value of a? A. 33 B. 3 C. 1 D. 3 E. 11 Check conditions below: Math Revolution and GMAT Club ContestThe Contest Starts November 28th in Quant Forum We are happy to announce a Math Revolution and GMAT Club Contest For the following four (!) weekends we'll be publishing 4 FRESH math questions per weekend (2 on Saturday and 2 on Sunday). To participate, you will have to reply with your best answer/solution to the new questions that will be posted on Saturday and Sunday at 9 AM Pacific. Then a week later, the forum moderator will be selecting 2 winners who provided most correct answers to the questions, along with best solutions. Those winners will get 6months access to GMAT Club Tests. PLUS! Based on the answers and solutions for all the questions published during the project ONE user will be awarded with ONE Grand prize: PS + DS course with 502 videos that is worth $299! All announcements and winnings are final and no whining GMAT Club reserves the rights to modify the terms of this offer at any time. NOTE: Test Prep Experts and Tutors are asked not to participate. We would like to have the members maximize their learning and problem solving process.
Thank you! MATH REVOLUTION OFFICIAL SOLUTION:This type of question appears within a score range of 45 to 48. In terms of Integer, you have to find the “hidden 1” and consider negative numbers. Thus, the calculation would be, 33=(33)(1)(1), and 33 is the smallest possible value of a. So, A is the correct answer
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



NonHuman User
Joined: 09 Sep 2013
Posts: 8174

Re: Math Revolution and GMAT Club Contest! If a, b, c are positive
[#permalink]
Show Tags
28 Aug 2018, 23:15
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: Math Revolution and GMAT Club Contest! If a, b, c are positive &nbs
[#permalink]
28 Aug 2018, 23:15



Go to page
Previous
1 2
[ 33 posts ]



