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Math Revolution and GMAT Club Contest! If a, b, c are positive
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29 Nov 2015, 09:57
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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.
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Re: Math Revolution and GMAT Club Contest! If a, b, c are positive
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29 Nov 2015, 10:16
abc=33 and a<b<c, so (33)(1)(1)=33
The smallest possible value of a will be 33.
Ans: A



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Re: Math Revolution and GMAT Club Contest! If a, b, c are positive
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29 Nov 2015, 10:21
If a, b, c are integers, 33 = abc, and a < b < c, what is the smallest possible value of a? A. 33B. 3 C. 1 D. 3 E. 11 Given : a * b * c = 33. 33 is a Positive Odd number. Side Note: Thus, all 3 numbers will be odd. Prime factorization will also give you numbers. 1, 3, 11. The 3 numbers will be combination of these 3 numbers with possible variation in sign(+/). We could have any 2 digits as negative. > negative * negative * positive. We have negative values in answer option, so eliminate C, D and E from answer choices. 33 * 1 * 1 = 33. Correct answer is A
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Re: Math Revolution and GMAT Club Contest! If a, b, c are positive
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29 Nov 2015, 10:22
The answer is A. First, break this question. Since a<b<c and abc=33, what are the different possible factors of 33 that can help us find a, b and c. Remember, a, b and c are integers and could be both positive or negative. The different factors are 33, 11, 3 and 1 (these values can be both positive and negative). The least of these would be 33. Can we make 'a' 33 and still achieve the conditions in the question. ? Yes > a=33, b=1 and c=1  in this case, abc=33 and a<b<c as well. Hence 33 is the smallest value of a.
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Re: Math Revolution and GMAT Club Contest! If a, b, c are positive
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29 Nov 2015, 11:00
the factors of 33 are 33, 11, 3, 1, 1, 3, 11, 33.
From the above, the least value of a such that abc to be 33 and a< b<c is 33. In this case b=1 and c=1



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Re: Math Revolution and GMAT Club Contest! If a, b, c are positive
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Updated on: 29 Nov 2015, 11:51
It says abc=33 and a<b<c checking numbers > a=33, b=1, c=1 Sol. A. 33  You know the importance of Kudos, be generous.
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Originally posted by Nightfury14 on 29 Nov 2015, 11:14.
Last edited by Nightfury14 on 29 Nov 2015, 11:51, edited 2 times in total.



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Re: Math Revolution and GMAT Club Contest! If a, b, c are positive
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29 Nov 2015, 11:16
The three factors of 33 are 1, 3 and 11. With no positive/negative restrictions on a b and c, some of the factors can also be negativewith a<b<c: possible values for a, b and c that yield 33 are: a: 11, 3 or 1 b: 3, 1 or 3 c: 1 , 11 or 11 Since 11 is not in the answer choices, the smallest value for a is therefore 3: \((3)*(1)*11=33\) Answer B
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Re: Math Revolution and GMAT Club Contest! If a, b, c are positive
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29 Nov 2015, 11:35
The correct answer is A here.



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Re: Math Revolution and GMAT Club Contest! If a, b, c are positive
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29 Nov 2015, 11:54
answer: (C) Solution: 1X3X11=33 (given that : abc=33) where it also satisfy the condition a<b<c.
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Re: Math Revolution and GMAT Club Contest! If a, b, c are positive
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29 Nov 2015, 12:04
if abc=33 and a<b<c then, a can be 33, and b can be 1 while c is 1. 33* 1 * 1 = 33. thus, the minimal value of a can be 33.



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Re: Math Revolution and GMAT Club Contest! If a, b, c are positive
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29 Nov 2015, 22:24
If a, b, c are integers, 33 = abc, and a < b < c, what is the smallest possible value of a?
a * b * c = 33 * 1 * 1 = 33. So the smallest value of a can be 33.
Answer: A



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Re: Math Revolution and GMAT Club Contest! If a, b, c are positive
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30 Nov 2015, 07:09
Answer is A
if a= 33 , b = 1 and c=1 then abc= 33 Hence, smallest value of a = 33



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Re: Math Revolution and GMAT Club Contest! If a, b, c are positive
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30 Nov 2015, 08:41
Option a! The integers can be (33)*(1)*(1); a<b<c
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Re: Math Revolution and GMAT Club Contest! If a, b, c are positive
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30 Nov 2015, 11:21
33 cannot be answer as a is smallest and to make +33, we need atleast 1...
out of remaining 4, minimum is 3... which works with 3, 1 and 11....
So, B is the answer



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Re: Math Revolution and GMAT Club Contest! If a, b, c are positive
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30 Nov 2015, 11:49
Using the given options, If a=33, b=1, c=1, then a<b<c And abc=33 So smallest value of a=33



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Re: Math Revolution and GMAT Club Contest! If a, b, c are positive
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30 Nov 2015, 11:49
Using the given options, If a=33, b=1, c=1, then a<b<c And abc=33 So smallest value of a=33 Answer A



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Re: Math Revolution and GMAT Club Contest! If a, b, c are positive
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30 Nov 2015, 23:36
Let's start with the smallest number in the answer choice 33
Now, (33)(1)(+1) =33 and this satisfier a<b<c
So, the answer is A (33)



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Re: Math Revolution and GMAT Club Contest! If a, b, c are positive
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01 Dec 2015, 02:52
As abc=33 and a<b<c, Factors of 33 are 1,3,11,33 .abc can be 33*1*1. here a =33 is the lowest possible value



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Re: Math Revolution and GMAT Club Contest! If a, b, c are positive
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01 Dec 2015, 10:13
Given abc= 33.
This could mean that either a, b and c all are positive or 2 of them are negative. Since we're asked to find the minimum possible value of a, we will work with negative numbers. 33, 1 and 1. a=33.
Answer is A.



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Re: Math Revolution and GMAT Club Contest! If a, b, c are positive
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01 Dec 2015, 11:52
If a, b, c are integers, 33 = abc, and a < b < c, what is the smallest possible value of a? a < b < c = 1 < 3 < 11 So, a = 1 IMHO Answer is C. 1
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