November 14, 2018 November 14, 2018 08:00 PM MST 09:00 PM MST Join the webinar and learn timemanagement tactics that will guarantee you answer all questions, in all sections, on time. Save your spot today! Nov. 14th at 7 PM PST November 15, 2018 November 15, 2018 10:00 PM MST 11:00 PM MST EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299)
Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 29 Sep 2013
Posts: 47

What is the value of xyz?
[#permalink]
Show Tags
26 Dec 2013, 09:45
Question Stats:
58% (01:17) correct 42% (01:14) wrong based on 108 sessions
HideShow timer Statistics
What is the value of xyz? (1) xyz  xy = 0 (2) Either x = 0, or y = 0 or z = 1 The see the OA, I think it's incorrect. What's your opinion?
Official Answer and Stats are available only to registered users. Register/ Login.



Magoosh GMAT Instructor
Joined: 28 Dec 2011
Posts: 4488

Re: What is the Value of xyz?
[#permalink]
Show Tags
26 Dec 2013, 09:57
suk1234 wrote: What is the value of\(xyz\)?
1) \(xyz  xy = 0\) 2) Either \(x=0,\) or \(y=0\) or \(z=1\)
The see the OA, I think it's incorrect. What's your opinion? Dear suk1234, I'm happy to respond. I think the OA of (E) is correct. First of all, Statement #1 and Statement #2 are logical equivalent, and one implies the other. If x = 0 or y = 0, then the other could equal anything, z could equal anything, and the product would be zero. If z = 1, then x & y could equal anything, and the product could equal any value on the continuous infinity of the number line. Thus, there's no way to determine a definitive value of the product. Does this make sense? Please let me know if you have any further questions. Mike
_________________
Mike McGarry Magoosh Test Prep
Education is not the filling of a pail, but the lighting of a fire. — William Butler Yeats (1865 – 1939)



Intern
Joined: 29 Sep 2013
Posts: 47

Re: What is the Value of xyz?
[#permalink]
Show Tags
26 Dec 2013, 10:11
mikemcgarry wrote: suk1234 wrote: What is the value of\(xyz\)?
1) \(xyz  xy = 0\) 2) Either \(x=0,\) or \(y=0\) or \(z=1\)
The see the OA, I think it's incorrect. What's your opinion? Dear suk1234, I'm happy to respond. I think the OA of (E) is correct. First of all, Statement #1 and Statement #2 are logical equivalent, and one implies the other. If x = 0 or y = 0, then the other could equal anything, z could equal anything, and the product would be zero. If z = 1, then x & y could equal anything, and the product could equal any value on the continuous infinity of the number line. Thus, there's no way to determine a definitive value of the product. Does this make sense? Please let me know if you have any further questions. Mike Thank you Mike for the Quick rescue! Here is how I evaluated Statement 1: Z=1 and Either X=0 or Y=0 or Both X and Y = 0 Then evaluate all the possible values! 1. (X=0) 0*Y*1=0 2. (Y=0) X*0*1=0 3. (X and Y = 0) 0*0*1=0 I think in case of statement 2 this reasoning doesn't apply because it presents three cases which may or may not be true ( \(x=0,\) or \(y=0\) or \(z=1\) either of these can happen or not). But in case of statement 1 we are definitely sure about the value of XY.



Magoosh GMAT Instructor
Joined: 28 Dec 2011
Posts: 4488

Re: What is the Value of xyz?
[#permalink]
Show Tags
26 Dec 2013, 14:14
suk1234 wrote: Thank you Mike for the Quick rescue!
Here is how I evaluated Statement 1:
Z=1 and Either X=0 or Y=0 or Both X and Y = 0
Then evaluate all the possible values! 1. (X=0) 0*Y*1=0 2. (Y=0) X*0*1=0 3. (X and Y = 0) 0*0*1=0
I think in case of statement 2 this reasoning doesn't apply because it presents three cases which may or may not be true ( \(x=0,\) or \(y=0\) or \(z=1\) either of these can happen or not). But in case of statement 1 we are definitely sure about the value of XY. Dear suk1234I'm happy to respond. Statement #1 says xyz  xy = 0 Add xy to both sides: xyz = xy (xy)*z = (xy) Here, we are presented with a choice. Case One: If (xy) does not equal zero, then we can divide by (xy), and get z = 1. That's one case, in which (xy) can have any value on the number line other than zero, and z = 1. Here, the product xyz would be equal to xy, and could be anything other than zero. Case Two: If (xy) = 0, then z could be anything on the number line. This is the other case. If (xy) = 0, then either x = 0 or y = 0, which will make the product equal zero. (Here, z could be 1, or it could be anything else on the number line.) You see, the crucial mathematical word is the word "or"  either z = 1 OR (xy) = 0. You are interpreting the two requirements as if they are simultaneous, not a mutually exclusive choice. The two cases are actually mutually exclusive. Does all this make sense? Mike
_________________
Mike McGarry Magoosh Test Prep
Education is not the filling of a pail, but the lighting of a fire. — William Butler Yeats (1865 – 1939)



Intern
Joined: 29 Sep 2013
Posts: 47

Re: What is the Value of xyz?
[#permalink]
Show Tags
27 Dec 2013, 00:48
mikemcgarry wrote: suk1234 wrote: Thank you Mike for the Quick rescue!
Here is how I evaluated Statement 1:
Z=1 and Either X=0 or Y=0 or Both X and Y = 0
Then evaluate all the possible values! 1. (X=0) 0*Y*1=0 2. (Y=0) X*0*1=0 3. (X and Y = 0) 0*0*1=0
I think in case of statement 2 this reasoning doesn't apply because it presents three cases which may or may not be true ( \(x=0,\) or \(y=0\) or \(z=1\) either of these can happen or not). But in case of statement 1 we are definitely sure about the value of XY. Dear suk1234I'm happy to respond. Statement #1 says xyz  xy = 0 Add xy to both sides: xyz = xy (xy)*z = (xy) Here, we are presented with a choice. Case One: If (xy) does not equal zero, then we can divide by (xy), and get z = 1. That's one case, in which (xy) can have any value on the number line other than zero, and z = 1. Here, the product xyz would be equal to xy, and could be anything other than zero. Case Two: If (xy) = 0, then z could be anything on the number line. This is the other case. If (xy) = 0, then either x = 0 or y = 0, which will make the product equal zero. (Here, z could be 1, or it could be anything else on the number line.) You see, the crucial mathematical word is the word "or"  either z = 1 OR (xy) = 0. You are interpreting the two requirements as if they are simultaneous, not a mutually exclusive choice. The two cases are actually mutually exclusive. Does all this make sense? Mike Oh I see, where I was going wrong with it.Thank Mike that was an amazing explanation.



Director
Joined: 23 Jan 2013
Posts: 570

Re: What is the value of xyz?
[#permalink]
Show Tags
08 Mar 2016, 03:41
xyz=?
St.1 xyzxy=0 => xy(z1)=0, so xy=0 or z=1 or both . If xy=0, xyz=0, if z=1, not clear. INSUFF.
St.2 Either x = 0, or y = 0 or z = 1. Again if z=1, not clear. INSUFF.
St1+St2 tell the same, so INSUFF
E



Manager
Joined: 17 Oct 2012
Posts: 65
Location: India
Concentration: Strategy, Finance
WE: Information Technology (Computer Software)

what is the value of xyz?
[#permalink]
Show Tags
Updated on: 08 May 2016, 20:30
what is the value of xyz? (1) xyzxy=0 (2) Either x=0 or y=0 or z=1
Originally posted by chetan86 on 08 May 2016, 20:08.
Last edited by chetan86 on 08 May 2016, 20:30, edited 1 time in total.



Math Expert
Joined: 02 Aug 2009
Posts: 7022

what is the value of xyz?
[#permalink]
Show Tags
08 May 2016, 20:16
chetan86 wrote: what is the value of xyz? (1) xyzxy=0 (2) Either x=0 or y=0 Hi, you will have to relook into OA or the typo erros .. (1) \(xyzxy=0\).. \(xy(z1) = 0...\) either z=1 or xy = 0... if z=1 and xy is NOT equal to 0.. xyz can be any nonzero integer depending on xy.. If xy =0, ans will be 0.. Insuff (2) Either x=0 or y=0In any case , xyz will be 0.. Suff B.. NOTE  Pl Check before posting and post correctly. Merging topics
_________________
1) Absolute modulus : http://gmatclub.com/forum/absolutemodulusabetterunderstanding210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effectsofarithmeticoperationsonfractions269413.html
GMAT online Tutor



Manager
Joined: 17 Oct 2012
Posts: 65
Location: India
Concentration: Strategy, Finance
WE: Information Technology (Computer Software)

Re: what is the value of xyz?
[#permalink]
Show Tags
08 May 2016, 20:23
Yeah, I rechecked the answer, and it is E. Even I am confused about this question so thought to post this question to clear my understandings. This question is from Advance GMAT Quant. OE is : We can test different numeric scenarios for x, y and z using Scenario Charts. Statement (1) tells us that xyz – xy = 0. First, let's factor the equation: xyz – xy = 0 xy(z – 1) = 0 For this product to equal zero, either x = 0, or y = 0, or z = 1. Thus if x = 0 or y = 0, then xyz = 0, but if z = 1, then xyz could take on any value. INSUFFICIENT. Statement (2) tells us that either x = 0 or y = 0 or z = 1. This is the exact same information from Statement (1), so we can eliminate A, B and C by Spotting Identical Statements. Since Statement (1) also proved to be insufficient, we can eliminate D as well. The correct answer is E. chetan2u wrote: chetan86 wrote: what is the value of xyz? (1) xyzxy=0 (2) Either x=0 or y=0 Hi, you will have to relook into OA or the typo erros .. (1) \(xyzxy=0\).. \(xy(z1) = 0...\) either z=1 or xy = 0... if z=1 and xy is NOT equal to 0.. xyz can be any nonzero integer depending on xy.. If xy =0, ans will be 0.. Insuff (2) Either x=0 or y=0In any case , xyz will be 0.. Suff B..



Math Expert
Joined: 02 Aug 2009
Posts: 7022

Re: what is the value of xyz?
[#permalink]
Show Tags
08 May 2016, 20:27
chetan86 wrote: Yeah, I rechecked the answer, and it is E. Even I am confused about this question so thought to post this question to clear my understandings. This question is from Advance GMAT Quant. OE is : We can test different numeric scenarios for x, y and z using Scenario Charts. Statement (1) tells us that xyz – xy = 0. First, let's factor the equation: xyz – xy = 0 xy(z – 1) = 0 For this product to equal zero, either x = 0, or y = 0, or z = 1. Thus if x = 0 or y = 0, then xyz = 0, but if z = 1, then xyz could take on any value. INSUFFICIENT. Statement (2) tells us that either x = 0 or y = 0 or z = 1. This is the exact same information from Statement (1), so we can eliminate A, B and C by Spotting Identical Statements. Since Statement (1) also proved to be insufficient, we can eliminate D as well. The correct answer is E. chetan2u wrote: chetan86 wrote: what is the value of xyz? (1) xyzxy=0 (2) Either x=0 or y=0 Hi, you will have to relook into OA or the typo erros .. (1) \(xyzxy=0\).. \(xy(z1) = 0...\) either z=1 or xy = 0... if z=1 and xy is NOT equal to 0.. xyz can be any nonzero integer depending on xy.. If xy =0, ans will be 0.. Insuff (2) Either x=0 or y=0In any case , xyz will be 0.. Suff B.. Then there is a error in what you have given as statement 2 and what is mentioned.. as per your Q.. II is "Either x=0 or y=0", whereas the source is giveing in the OE as "Statement (2) tells us that either x = 0 or y = 0 or z = 1"..Both the statements do NOT mean the same .. and if statement is  Statement (2) tells us that either x = 0 or y = 0 or z = 1.. ANS will be E
_________________
1) Absolute modulus : http://gmatclub.com/forum/absolutemodulusabetterunderstanding210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effectsofarithmeticoperationsonfractions269413.html
GMAT online Tutor



Manager
Joined: 17 Oct 2012
Posts: 65
Location: India
Concentration: Strategy, Finance
WE: Information Technology (Computer Software)

what is the value of xyz?
[#permalink]
Show Tags
08 May 2016, 20:30
chetan2u wrote: Then there is a error in what you have given as statement 2 and what is mentioned.. as per your Q.. II is "Either x=0 or y=0", whereas the source is giveing in the OE as "Statement (2) tells us that either x = 0 or y = 0 or z = 1".. Both the statements do NOT mean the same .. and if statement is  Statement (2) tells us that either x = 0 or y = 0 or z = 1.. ANS will be E
I have updated the question. Thanks!!



Manager
Joined: 13 Apr 2016
Posts: 60
Location: India
GPA: 3
WE: Operations (Hospitality and Tourism)

Re: what is the value of xyz?
[#permalink]
Show Tags
08 May 2016, 21:05
[quote="chetan86"]what is the value of xyz? (1) xyzxy=0 (2) Either x=0 or y=0 or z=1
I think the answer has to be E because none of the statement is giving any fix value for any of the variable and also by combining we are not getting any confirmed answer.



Manager
Joined: 17 Oct 2012
Posts: 65
Location: India
Concentration: Strategy, Finance
WE: Information Technology (Computer Software)

Re: what is the value of xyz?
[#permalink]
Show Tags
09 May 2016, 03:52
Below explanation resolved my doubts. Thanks!! mikemcgarry wrote: suk1234 wrote: Thank you Mike for the Quick rescue!
Here is how I evaluated Statement 1:
Z=1 and Either X=0 or Y=0 or Both X and Y = 0
Then evaluate all the possible values! 1. (X=0) 0*Y*1=0 2. (Y=0) X*0*1=0 3. (X and Y = 0) 0*0*1=0
I think in case of statement 2 this reasoning doesn't apply because it presents three cases which may or may not be true ( \(x=0,\) or \(y=0\) or \(z=1\) either of these can happen or not). But in case of statement 1 we are definitely sure about the value of XY. Dear suk1234I'm happy to respond. Statement #1 says xyz  xy = 0 Add xy to both sides: xyz = xy (xy)*z = (xy) Here, we are presented with a choice. Case One: If (xy) does not equal zero, then we can divide by (xy), and get z = 1. That's one case, in which (xy) can have any value on the number line other than zero, and z = 1. Here, the product xyz would be equal to xy, and could be anything other than zero. Case Two: If (xy) = 0, then z could be anything on the number line. This is the other case. If (xy) = 0, then either x = 0 or y = 0, which will make the product equal zero. (Here, z could be 1, or it could be anything else on the number line.) You see, the crucial mathematical word is the word "or"  either z = 1 OR (xy) = 0. You are interpreting the two requirements as if they are simultaneous, not a mutually exclusive choice. The two cases are actually mutually exclusive. Does all this make sense? Mike



NonHuman User
Joined: 09 Sep 2013
Posts: 8737

Re: what is the value of xyz?
[#permalink]
Show Tags
24 Mar 2018, 21:30
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: what is the value of xyz? &nbs
[#permalink]
24 Mar 2018, 21:30






