Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 49968

Question Stats:
27% (01:25) correct 73% (01:42) wrong based on 181 sessions
HideShow timer Statistics



Math Expert
Joined: 02 Sep 2009
Posts: 49968

Re M2222
[#permalink]
Show Tags
16 Sep 2014, 01:17
Official Solution: Note that we are not told that \(a\), \(b\) and \(c\) are integers. (1) \(acb\) is even. If the variables are integers then \(a+b+c\) will be even but if they are not, for example if \(a=3.5\), \(b=1\) and \(c=0.5\) (\(acb=2=even\)), then \(a+b+c=5=odd\). Not sufficient. (2) \(\frac{ac}{b}\) is odd. The same here: if the variables are integers then \(a+b+c\) will be even but if they are not, for example if \(a=3.5\), \(b=1\) and \(c=0.5\) (\(\frac{ac}{b}=3=odd\)), then \(a+b+c=5=odd\). Not sufficient (1)+(2) \(a+b+c\) may or may not be even (again if variables are integers: YES but if \(a=3.5\), \(b=1\), \(c=0.5\) answer is NO). Not sufficient. Answer: E
_________________
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



Intern
Joined: 11 Jan 2013
Posts: 4

Re: M2222
[#permalink]
Show Tags
23 Dec 2014, 16:27
Would the answer be D if it was given that a, b, and c are integers?



Math Expert
Joined: 02 Sep 2009
Posts: 49968

Re: M2222
[#permalink]
Show Tags
24 Dec 2014, 07:23



Intern
Joined: 06 Mar 2013
Posts: 1

Re: M2222
[#permalink]
Show Tags
26 Jun 2015, 05:03
Here's how I would look at Statement A,
a  c  b = even a + c + b  2c  2b = even a + c + b  2(c+b) = even
For this statement to be true, a + c + b = even, since only "even  even = even"
Am I missing something?



Math Expert
Joined: 02 Sep 2009
Posts: 49968

Re: M2222
[#permalink]
Show Tags
26 Jun 2015, 06:06



Intern
Joined: 05 Aug 2015
Posts: 42

Re: M2222
[#permalink]
Show Tags
12 Mar 2016, 23:50
For statement 1, is it correct to say that if A+B+C=Even and A,B,C are integers, then ABC is also even under any order of A,B,C (i.e., also even CAB or BAC)?
_________________
Working towards 25 Kudos for the Gmatclub Exams  help meee I'm poooor



Math Expert
Joined: 02 Sep 2009
Posts: 49968

Re: M2222
[#permalink]
Show Tags
13 Mar 2016, 08:22
happyface101 wrote: For statement 1, is it correct to say that if A+B+C=Even and A,B,C are integers, then ABC is also even under any order of A,B,C (i.e., also even CAB or BAC)? Yes, this would be correct.
_________________
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



Intern
Joined: 06 May 2016
Posts: 37

Re M2222
[#permalink]
Show Tags
01 Aug 2016, 12:02
I think this is a highquality question and I agree with explanation. Good one!



Senior Manager
Joined: 31 Mar 2016
Posts: 390
Location: India
Concentration: Operations, Finance
GPA: 3.8
WE: Operations (Commercial Banking)

Re M2222
[#permalink]
Show Tags
22 Aug 2016, 05:36
I think this is a highquality question and I agree with explanation. Bombastic Question Lol great trap! You people never fail to surprise me!



Manager
Joined: 17 Mar 2015
Posts: 116

Re: M2222
[#permalink]
Show Tags
01 Dec 2016, 07:33
Sigh, how many more times am I going to forget to check if I'm dealing with integers. Quickest and proudest answer D, thinking I'm all that smart, just to be blown by the "might not be integers" detail.



Intern
Joined: 15 Aug 2017
Posts: 14

Here is a method I used to solve this question in the most efficient manner that I haven't seen discussed here.
Stem:\(A+B+C= Even\) (1)\(ABC=E\) This becomes \(A=E+B+C\) Important property: In a term of the form (Even number) + X, the (Even number) plays no role in the EvenOdd nature of the term In turn, this becomes A=B+C, Plugging into the equation we get:\(B+C+B+C=E?\)this becomes \(2B+2C=E\) If A & B are integers, this is sufficient, but A & B can both be .1
(2)\(\frac{AC}{B}=O\) Or \(O*B=AC\) Important property: In a term of the form (Odd number)*(X), the (Odd number) plays no role in the EvenOdd nature of the term \(B=AC\) Plugging into the equation we are left with \(2A=E?\) If A is an integer, this is sufficient, but A can be .1
Therefore E



Intern
Joined: 20 Sep 2016
Posts: 12

Re: M2222
[#permalink]
Show Tags
24 Jul 2018, 07:02
wow bamboozled.










