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Is A + B + C even? [#permalink]
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08 Apr 2012, 08:17
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Is A + B + C even? (1) A  C  B is even (2) (A  C)/B is odd
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Last edited by Bunuel on 29 Jul 2012, 07:01, edited 2 times in total.
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Re: Odd/Even (Ultra hard) from Math Flashcard [#permalink]
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08 Apr 2012, 08:41
I think the OA is incorrect.
1)ABC can only be even, if either all are even or two are odd and one is even, in both cases a+b+c is even.
2) (AC)/B can be odd if all are even or if all are odd, so A+B+C is even or odd, which makes the statement insufficient.
IMO A is correct.



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Re: Is A + B + C even? (1) A  C  B is even (2) (A  C)/B is [#permalink]
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catty2004 wrote: Is A + B + C even?
(1) A  C  B is even
(2) (A  C)/B is odd Notice that we are not told that a, b and c are integers. Q: is \(a+b+c=even\)? (1) \(acb=even\), if the variables are integers then \(a+b+c\) will be even but if they are not, for example if \(a=3.5\), \(b=1\), \(c=0.5\) then \(acb=2=even\), but \(a+b+c=5=odd\). Not sufficient. (2) \(\frac{ac}{b}=odd\). The same here: if the variables are integers then \(a+b+c\) will be even but if they are not for example if \(a=3.5\), \(b=1\), \(c=0.5\) then \(\frac{ac}{b}=3=odd\), but \(a+b+c=5=odd\). 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.
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Re: Is A + B + C even? (1) A  C  B is even (2) (A  C)/B is [#permalink]
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08 Apr 2012, 09:53
Hi +1 E This is explained in the GMAT Club notes. I suggest you refer the Club Notes, cause when i first took a crack at this I choose A as well.
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Re: Is A + B + C even? (1) A  C  B is even (2) (A  C)/B is [#permalink]
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29 Jul 2012, 06:57
Bunuel wrote: catty2004 wrote: Is A + B + C even?
(1) A  C  B is even
(2) (A  C)/B is odd Notice that we are not told that a, b and c are integers. Q: is \(a+b+c=even\)? (1) \(acb=even\), if the variables are integers then \(a+b+c\) will be even but if they are not, for example if \(a=3.5\), \(b=1\), \(c=0.5\) then \(acb=2=even\), but \(a+b+c=5=odd\). Not sufficient. (2) \(\frac{ac}{b}=odd\). The same here: if the variables are integers then \(a+b+c\) will be even but if they are not for example if \(a=3.5\), \(b=1\), \(c=0.5\) then \(\frac{ac}{b}=3=odd\), but \(a+b+c=5=odd\). 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. This question has more than I trap. Thanks for the explanation, Bunnel...!
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Re: Is A + B + C even? (1) A  C  B is even (2) (A  C)/B is [#permalink]
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29 Sep 2012, 22:44
Bunuel wrote: catty2004 wrote: Is A + B + C even?
(1) A  C  B is even
(2) (A  C)/B is odd Notice that we are not told that a, b and c are integers. Q: is \(a+b+c=even\)? (1) \(acb=even\), if the variables are integers then \(a+b+c\) will be even but if they are not, for example if \(a=3.5\), \(b=1\), \(c=0.5\) then \(acb=2=even\), but \(a+b+c=5=odd\). Not sufficient. (2) \(\frac{ac}{b}=odd\). The same here: if the variables are integers then \(a+b+c\) will be even but if they are not for example if \(a=3.5\), \(b=1\), \(c=0.5\) then \(\frac{ac}{b}=3=odd\), but \(a+b+c=5=odd\). 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. Hi Bunuel, Is this question, a good gmat candidate or not.
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Re: Is A + B + C even? [#permalink]
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30 Sep 2012, 00:53
Bunuel wrote: catty2004 wrote: Is A + B + C even?
(1) A  C  B is even
(2) (A  C)/B is odd Notice that we are not told that a, b and c are integers. Q: is \(a+b+c=even\)? (1) \(acb=even\), if the variables are integers then \(a+b+c\) will be even but if they are not, for example if \(a=3.5\), \(b=1\), \(c=0.5\) then \(acb=2=even\), but \(a+b+c=5=odd\). Not sufficient. (2) \(\frac{ac}{b}=odd\). The same here: if the variables are integers then \(a+b+c\) will be even but if they are not for example if \(a=3.5\), \(b=1\), \(c=0.5\) then \(\frac{ac}{b}=3=odd\), but \(a+b+c=5=odd\). 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. Bunuel.. how can B will be even if it wud be mentioned that a b c are integers???
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Re: Is A + B + C even? [#permalink]
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01 Oct 2012, 05:40
sanjoo wrote: Bunuel wrote: catty2004 wrote: Is A + B + C even?
(1) A  C  B is even
(2) (A  C)/B is odd Notice that we are not told that a, b and c are integers. Q: is \(a+b+c=even\)? (1) \(acb=even\), if the variables are integers then \(a+b+c\) will be even but if they are not, for example if \(a=3.5\), \(b=1\), \(c=0.5\) then \(acb=2=even\), but \(a+b+c=5=odd\). Not sufficient. (2) \(\frac{ac}{b}=odd\). The same here: if the variables are integers then \(a+b+c\) will be even but if they are not for example if \(a=3.5\), \(b=1\), \(c=0.5\) then \(\frac{ac}{b}=3=odd\), but \(a+b+c=5=odd\). 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. Bunuel.. how can B will be even if it wud be mentioned that a b c are integers??? Sorry, but I don't understand your question at all. Can you please elaborate what you mean? Thank you.
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Re: Is A + B + C even? (1) A  C  B is even (2) (A  C)/B is [#permalink]
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01 Oct 2012, 09:29
Bunuel wrote: catty2004 wrote: Is A + B + C even?
(1) A  C  B is even
(2) (A  C)/B is odd Notice that we are not told that a, b and c are integers. Q: is \(a+b+c=even\)? (1) \(acb=even\), if the variables are integers then \(a+b+c\) will be even but if they are not, for example if \(a=3.5\), \(b=1\), \(c=0.5\) then \(acb=2=even\), but \(a+b+c=5=odd\). Not sufficient. (2) \(\frac{ac}{b}=odd\). The same here: if the variables are integers then \( a+b+c\) will be even but if they are not for example if \(a=3.5\), \(b=1\), \(c=0.5\) then \(\frac{ac}{b}=3=odd\), but \(a+b+c=5=odd\). 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. I was asking abt statement 2.. U said..if it were mentioned that a b and c are intergers than A+b+c=even ..and then this statement wud b sufficient.. But i got this now..i have solved this ..bt i tuk some time while proving this statemt 2 ...
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Re: Is A + B + C even? (1) A  C  B is even (2) (A  C)/B is [#permalink]
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sanjoo wrote: Bunuel wrote: catty2004 wrote: Is A + B + C even?
(1) A  C  B is even
(2) (A  C)/B is odd Notice that we are not told that a, b and c are integers. Q: is \(a+b+c=even\)? (1) \(acb=even\), if the variables are integers then \(a+b+c\) will be even but if they are not, for example if \(a=3.5\), \(b=1\), \(c=0.5\) then \(acb=2=even\), but \(a+b+c=5=odd\). Not sufficient. (2) \(\frac{ac}{b}=odd\). The same here: if the variables are integers then \( a+b+c\) will be even but if they are not for example if \(a=3.5\), \(b=1\), \(c=0.5\) then \(\frac{ac}{b}=3=odd\), but \(a+b+c=5=odd\). 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. I was asking abt statement 2.. U said..if it were mentioned that a b and c are intergers than A+b+c=even ..and then this statement wud b sufficient.. But i got this now..i have solved this ..bt i tuk some time while proving this statemt 2 ... It goes like this: Q: Is A+B+C= EVEN S1: ABC= Even i.e. We can write ABC= 2N =>A=2N + B+C Substituting in the main equation we get 2N+2(B+C)=2[N+B+C] Now, N is an Integer, but we dont know whether, B+C= Integer or not. Hence N+B+C mayor may not be an Integer. Therefore, S1 is insufficient. Same case with Statement 2, which on simplification gives, A=(2N+1)B + C => A+B+C= 2(B+C+NB) Again same same scenario, We are not aware whether, the value in the parenthesis is an Integer or not. Hence, S2 is also Insufficient. S1 & S2 together also does not resolve the issue of whether B+C is integer or not. Hence answer is E. I hope this is clear. Thanks



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Re: Is A + B + C even? [#permalink]
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Re: Is A + B + C even? [#permalink]
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Re: Is A + B + C even? [#permalink]
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30 Nov 2014, 15:35
Note that we are not told that a, b and c are integers. Q: is a+b+c=even? (1) acb=even, if the variables are integers then a+b+c will be even but if they are not: a=3.5, b=1, c=0.5 —> acb=2=even, but a+b+c=5=odd. Not sufficient. (2) \fracacb=odd. The same here: if the variables are integers then a+b+c will be even but if they are not: a=3.5, b=1, c=0.5 —> \fracacb=3=odd, but 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. Course GMAT onsite in Chile Claudio Hurtado GMAT CHILE
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Is A + B + C even? [#permalink]
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15 Apr 2015, 03:43
K is integer for sure.
1. A  (B+C) = 2K => A = 2K + B + C A +B + C = 2K +2B + 2C = 2(K + B + C)
If B: Integer; C = 0.5 => A + B + C = 2(K+B) + 1
2. (A  C)/B = 2k +1 => A  C = 2kB + B => A = 2kB + B + C => A + B + C = 2(kB + B + C) If B: Integer; C = 0.5
=> A + B + C = 2(kB + B) + 1
Quite tricky.



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Re: Is A + B + C even? [#permalink]
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16 Apr 2015, 06:12
What a great question! I started this one writing out all the cases but then realized we don't know if a,b and c are integers. Got answer E and thought it took me at most 2.5 mins... nope just over 3:50. Although I finally got it, this question has made me realize I really need to improve my speed.
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Re: Is A + B + C even? [#permalink]
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14 Oct 2016, 06:58
Extremely Poor Quality Question.? I think This question is too cheesy to be asked in the real test
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Is A + B + C even? [#permalink]
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14 Oct 2016, 14:24
E is the answer D if they were +ve integers




Is A + B + C even?
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