GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 20 Oct 2019, 22:04 GMAT Club Daily Prep

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

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.  Math Revolution and GMAT Club Contest! If a, b, c are positive

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

Hide Tags

Retired Moderator V
Joined: 22 Jun 2014
Posts: 1093
Location: India
Concentration: General Management, Technology
GMAT 1: 540 Q45 V20 GPA: 2.49
WE: Information Technology (Computer Software)
Re: Math Revolution and GMAT Club Contest! If a, b, c are positive  [#permalink]

Show Tags

1
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.
_________________
Current Student Joined: 14 Jun 2015
Posts: 87
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

1
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: 34
Re: Math Revolution and GMAT Club Contest! If a, b, c are positive  [#permalink]

Show Tags

1
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

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)

Intern  Joined: 21 Jul 2015
Posts: 34
Re: Math Revolution and GMAT Club Contest! If a, b, c are positive  [#permalink]

Show Tags

1
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)

Manager  Joined: 02 Nov 2014
Posts: 182
GMAT Date: 08-04-2015
Re: Math Revolution and GMAT Club Contest! If a, b, c are positive  [#permalink]

Show Tags

1
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.

Intern  Joined: 16 Aug 2015
Posts: 4
Re: Math Revolution and GMAT Club Contest! If a, b, c are positive  [#permalink]

Show Tags

1
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

now 33 = 1*3*11

so, smallest value of a is 1

c..
Intern  B
Joined: 05 Jun 2013
Posts: 35
Re: Math Revolution and GMAT Club Contest! If a, b, c are positive  [#permalink]

Show Tags

1
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.
Manager  Joined: 18 Sep 2014
Posts: 223
Re: Math Revolution and GMAT Club Contest! If a, b, c are positive  [#permalink]

Show Tags

1
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  S
Joined: 21 Nov 2014
Posts: 31
Location: Viet Nam
GMAT 1: 760 Q50 V44 Re: Math Revolution and GMAT Club Contest! If a, b, c are positive  [#permalink]

Show Tags

1
The smallest value of a is - 33 with a = -33, b = -1, c = 1.
Hence A.
_________________
GMAT Group for Vietnamese:

Intern  Joined: 26 May 2014
Posts: 2
Re: Math Revolution and GMAT Club Contest! If a, b, c are positive  [#permalink]

Show Tags

1
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 V
Joined: 02 Sep 2009
Posts: 58444
Re: Math Revolution and GMAT Club Contest! If a, b, c are positive  [#permalink]

Show Tags

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 Contest

The 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 6-months 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
_________________
Non-Human User Joined: 09 Sep 2013
Posts: 13321
Re: Math Revolution and GMAT Club Contest! If a, b, c are positive  [#permalink]

Show Tags

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.
_________________ Re: Math Revolution and GMAT Club Contest! If a, b, c are positive   [#permalink] 09 Sep 2019, 10:33

Go to page   Previous    1   2   [ 33 posts ]

Display posts from previous: Sort by

Math Revolution and GMAT Club Contest! If a, b, c are positive

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne  