December 14, 2018 December 14, 2018 10:00 PM PST 11:00 PM PST Carolyn and Brett  nicely explained what is the typical day of a UCLA student. I am posting below recording of the webinar for those who could't attend this session. December 15, 2018 December 15, 2018 07:00 AM PST 09:00 AM PST Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.
Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 10 Feb 2011
Posts: 108

Is x – 3 > y – 3?
[#permalink]
Show Tags
Updated on: 25 Jul 2013, 01:13
Question Stats:
74% (01:32) correct 26% (01:29) wrong based on 536 sessions
HideShow timer Statistics
Is x – 3 > y – 3? (1) x > y. (2) xу is not equal to 0.
Official Answer and Stats are available only to registered users. Register/ Login.
Originally posted by banksy on 15 Feb 2011, 12:28.
Last edited by Bunuel on 25 Jul 2013, 01:13, edited 2 times in total.
Added the OA.



Retired Moderator
Joined: 20 Dec 2010
Posts: 1820

Re: 180. Is Ix – 3I > Iy – 3I? (1) x > y. (2) xу is not equal
[#permalink]
Show Tags
15 Feb 2011, 12:59
Is x – 3 > y – 3? x3 > (y3) x3 > y+3 x+y > 6 or x3 > y3 xy > 0 x>y so; if x>y and x+y>6; we can be sure that x3 > y3 (1) x > y. But we don't know whether x+y>6. Not sufficient. x=2 y=1 1<2 x=5 y=2 2>1 (2) xу is not equal to 0. We don't know whether x>y or x+y>6. Not sufficient. Same sample set from 1 can be used; Together; We don't know whether x+y>6. Not sufficient. Same sample set from 1 can be used. Ans: "E"
_________________
~fluke
GMAT Club Premium Membership  big benefits and savings



Math Expert
Joined: 02 Sep 2009
Posts: 51215

Re: 180. Is Ix – 3I > Iy – 3I? (1) x > y. (2) xу is not equal
[#permalink]
Show Tags
15 Feb 2011, 13:05



Intern
Joined: 26 Oct 2013
Posts: 22

Re: Is x – 3 > y – 3?
[#permalink]
Show Tags
07 May 2014, 20:14
Is x – 3 > y – 3?
To make true the statement we have to alternatives: x>y (both x and y positives) x<y (both x and y negatives)
(1) x > y. If both are positive the answer will be YES but if they are negatives the answer will be NO (2) xу is not equal to 0. This statement is irrelevant.
(1)+(2) We can not determine. Not sufficient.



Manager
Joined: 10 Mar 2013
Posts: 198
GMAT 1: 620 Q44 V31 GMAT 2: 690 Q47 V37 GMAT 3: 610 Q47 V28 GMAT 4: 700 Q50 V34 GMAT 5: 700 Q49 V36 GMAT 6: 690 Q48 V35 GMAT 7: 750 Q49 V42 GMAT 8: 730 Q50 V39

Re: Is x – 3 > y – 3?
[#permalink]
Show Tags
04 Oct 2014, 20:06
E
Picking smart numbers is the best approach for this problem: (1) N: x=6, y=6 Y: x=6, y=5 NS
(2) Same numbers as (1) NS
(1)+(2) NS



Intern
Joined: 23 Oct 2014
Posts: 11

Re: Is x – 3 > y – 3?
[#permalink]
Show Tags
24 May 2016, 02:01
Hello Experts, Since both sides of the eqn are positive I assumed we can approach the problem as below: (x3)^2  (y3)^2 >0 which leads to (x3y3)(x3y+3)>0 and further (xy6)(xy)>0 ie, we get 2 solutions : x>y or (xy)>6. Because I saw Option 1 has one of these solutions ie.x>y I chose (A). Is it incorrect to choose an option if it is partially satisfied? Kindly help me understand.
Thanks & Regards, Nab



Math Expert
Joined: 02 Aug 2009
Posts: 7106

Re: Is x – 3 > y – 3?
[#permalink]
Show Tags
24 May 2016, 07:46
Nab77 wrote: Hello Experts, Since both sides of the eqn are positive I assumed we can approach the problem as below: (x3)^2  (y3)^2 >0 which leads to (x3y3)(x3y+3)>0 and further (xy6)(xy)>0 ie, we get 2 solutions : x>y or (xy)>6. Because I saw Option 1 has one of these solutions ie.x>y I chose (A). Is it incorrect to choose an option if it is partially satisfied? Kindly help me understand.
Thanks & Regards, Nab Hi Nab, you have done two mistakes in the highlighted portion.. 1) \((x3)^2  (y3)^2 >0.............. (x3+y3)(x3(y3))>0...... (x+y6)(xy)>0.....\) and NOT (xy6)(xy)>0 2) It is NOT x>y or (xy)>6 BUT x>y and (x+y)>6 or x<y and (x+y)<6.. so two cases a) BOTH (x+y6) and (xy) are +ive or BOTh are ive
_________________
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



Intern
Joined: 23 Oct 2014
Posts: 11

Is x – 3 > y – 3?
[#permalink]
Show Tags
24 May 2016, 08:42
chetan2u wrote: Nab77 wrote: Hello Experts, Since both sides of the eqn are positive I assumed we can approach the problem as below: (x3)^2  (y3)^2 >0 which leads to (x3y3)(x3y+3)>0 and further (xy6)(xy)>0 ie, we get 2 solutions : x>y or (xy)>6. Because I saw Option 1 has one of these solutions ie.x>y I chose (A). Is it incorrect to choose an option if it is partially satisfied? Kindly help me understand.
Thanks & Regards, Nab Hi Nab, you have done two mistakes in the highlighted portion.. 1) \((x3)^2  (y3)^2 >0.............. (x3+y3)(x3(y3))>0...... (x+y6)(xy)>0.....\) and NOT (xy6)(xy)>0 2) It is NOT x>y or (xy)>6 BUT x>y and (x+y)>6 or x<y and (x+y)<6.. so two cases a) BOTH (x+y6) and (xy) are +ive or BOTh are ive Hi Chetan, Oops yes I'm sorry that was a typo, i did get (x+y6)(xy)>0. From 2) Do you mean that it is not an OR condition but an AND condition? I didn't understand that quite well, can you please explain again. Especially the part BUT x>y and (x+y)>6 or x<y and (x+y)<6. I didn't understand how the equality signs changed. Thanks for your reply. Regards, Nab



Math Expert
Joined: 02 Aug 2009
Posts: 7106

Re: Is x – 3 > y – 3?
[#permalink]
Show Tags
24 May 2016, 08:54
Nab77 wrote: chetan2u wrote: Nab77 wrote: Hello Experts, Since both sides of the eqn are positive I assumed we can approach the problem as below: (x3)^2  (y3)^2 >0 which leads to (x3y3)(x3y+3)>0 and further (xy6)(xy)>0 ie, we get 2 solutions : x>y or (xy)>6. Because I saw Option 1 has one of these solutions ie.x>y I chose (A). Is it incorrect to choose an option if it is partially satisfied? Kindly help me understand.
Thanks & Regards, Nab Hi Nab, you have done two mistakes in the highlighted portion.. 1) \((x3)^2  (y3)^2 >0.............. (x3+y3)(x3(y3))>0...... (x+y6)(xy)>0.....\) and NOT (xy6)(xy)>0 2) It is NOT x>y or (xy)>6 BUT x>y and (x+y)>6 or x<y and (x+y)<6.. so two cases a) BOTH (x+y6) and (xy) are +ive or BOTh are ive Hi Chetan, Oops yes I'm sorry that was a typo, i did get (x+y6)(xy)>0. From 2) Do you mean that it is not an OR condition but an AND condition? I didn't understand that quite well, can you please explain again. Especially the part BUT x>y and (x+y)>6 or x<y and (x+y)<6. I didn't understand how the equality signs changed. Thanks for your reply. Regards, Nab Hi, the equation is \((x+y6)(xy)>0\)... The Left Hand Side can be >0 under two cases.. 1) when both (x+y6) and (xy) are greater than 0... since Positive * Positive = Positive..so xy>0 or x>y................and x+y6>0 or x+y>0......... Example x = 5, y=2.. x>y and x+y>6 ... so (5+26)(52)>0.....1*3>0...YES 2) when both (x+y6) and (xy) are lesser than 0... since Negative * Negative = Positive..so xy<0 or x<y................and x+y6<0 or x+y<6......... x= 2 and y =3.....x<y and x+y<6 ... so (3+26)(23)>0.....(1)(1)>0..........1>0......YES
_________________
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



Intern
Joined: 23 Oct 2014
Posts: 11

Re: Is x – 3 > y – 3?
[#permalink]
Show Tags
24 May 2016, 09:43
Quote: Hi, the equation is \((x+y6)(xy)>0\)... The Left Hand Side can be >0 under two cases.. 1) when both (x+y6) and (xy) are greater than 0... since Positive * Positive = Positive..so xy>0 or x>y................and x+y6>0 or x+y>0......... Example x = 5, y=2.. x>y and x+y>6 ... so (5+26)(52)>0.....1*3>0...YES 2) when both (x+y6) and (xy) are lesser than 0... since Negative * Negative = Positive..so xy<0 or x<y................and x+y6<0 or x+y<6......... x= 2 and y =3.....x<y and x+y<6 ... so (3+26)(23)>0.....(1)(1)>0..........1>0......YES Yes i realize where I went wrong! Thanks a tonne for the explanation. Thanks & Regards, Nab



Current Student
Joined: 18 Oct 2014
Posts: 846
Location: United States
GPA: 3.98

Re: Is x – 3 > y – 3?
[#permalink]
Show Tags
24 May 2016, 10:00
banksy wrote: Is x – 3 > y – 3?
(1) x > y. (2) xу is not equal to 0. (1) x > y. Let's say x=4 and y=3, then x – 3 > y – 3 but it x=3 and y=4, then the aboveineqzuality will not hold true. Insufficient (2) xу is not equal to 0 This statement means either x or y is not equal to 0. It can be +ve or ve. not sufficient. Combining both statements doesn't give a unique answer. Hence E is the answer
_________________
I welcome critical analysis of my post!! That will help me reach 700+



Director
Joined: 13 Mar 2017
Posts: 666
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)

Re: Is x – 3 > y – 3?
[#permalink]
Show Tags
04 Oct 2017, 05:01
banksy wrote: Is x – 3 > y – 3?
(1) x > y. (2) xу is not equal to 0. DS: Is x – 3 > y – 3? Statement 1 : x>y Lets say x =6 , y = 4 x3 = 3>y3 = 1 Lets say x = 1, y = 4 x3= 2<y3 = 7 NOT SUFFICIENT Statement 2 : xy is not equal to 0 . So, neither x nor y is not equal to 0 . Lets say x =6 , y = 4 x3 = 3>y3 = 1 Lets say x = 1, y = 4 x3= 2<y3 = 7 NOT SUFFICIENT Combined : same examples NOT SUFFICIENT Answer E
_________________
CAT 2017 99th percentiler : VA 97.27  DILR 96.84  QA 98.04  OA 98.95 UPSC Aspirants : Get my app UPSC Important News Reader from Play store.
MBA Social Network : WebMaggu
Appreciate by Clicking +1 Kudos ( Lets be more generous friends.) What I believe is : "Nothing is Impossible, Even Impossible says I'm Possible" : "Stay Hungry, Stay Foolish".



Intern
Joined: 28 Sep 2017
Posts: 23
Location: India
Concentration: Technology, General Management
GPA: 3.5
WE: Information Technology (Computer Software)

Re: Is x – 3 > y – 3?
[#permalink]
Show Tags
05 Oct 2017, 20:54
Is x – 3 > y – 3?
(1) x > y. (2) xу is not equal to 0
2. XY not equal to 0 we don't know the value of X and Y so Insufficient
2. If x =10 and Y = 100 then Y3 is greater if x=10 and Y= 5 then X3 is greater so insuffiecient
together the same example holds good, not sufficient hence Answer should be E



Manager
Status: Studying SC
Joined: 04 Sep 2017
Posts: 115
GPA: 3.6
WE: Sales (Computer Software)

Is x – 3 > y – 3?
[#permalink]
Show Tags
Updated on: 13 Mar 2018, 12:57
banksy wrote: Is x – 3 > y – 3?
(1) x > y. (2) xу is not equal to 0. For DS AbsValue questions I try to read the question and spend about 10 seconds to see if I can understand what it is asking before I even look at the statements. Is x – 3 > y – 3? When would this be true and when would it be not true? Well, if they are both positive and x>y, then yes. If they are both negative and x>y, then no. Read statement (1) and (2), neither account for the option of a Negative Y. Example: x=1 y=900, satisfies both statements, answer to question is no. Yes/No= E
_________________
Would I rather be feared or loved? Easy. Both. I want people to be afraid of how much they love me.
How to sort questions by Topic, Difficulty, and Source: https://gmatclub.com/forum/search.php?view=search_tags
Originally posted by MikeScarn on 13 Mar 2018, 04:38.
Last edited by MikeScarn on 13 Mar 2018, 12:57, edited 1 time in total.



DS Forum Moderator
Joined: 21 Aug 2013
Posts: 1412
Location: India

Re: Is x – 3 > y – 3?
[#permalink]
Show Tags
13 Mar 2018, 06:48
msurls wrote: banksy wrote: Is x – 3 > y – 3?
(1) x > y. (2) xу is not equal to 0. For DS AbsValue questions I try to read the question and spend about 10 seconds to see if I can understand what it is asking before I even look at the statements. Is x – 3 > y – 3? When would this be true and when would it be not true? This is really the same as "Is x>y?"Well, if they are both positive and x>y, then yes. If x>y but Y has a greater magnitude than X, then no. Read statement (1) and (2), neither account for the option of a Negative Y. Example: x=1 y=900, satisfies both statements, answer to question is no. Yes/No= E Hello You are correct that answer is E. However, I would like to point out the highlighted part in your analysis. (I have highlighted) x3 > y3 is NOT the same as x>y. Eg., if x=1 and y=5, then x3 > y3 BUT x < y Actually x3 > y3 means that the distance of 'x' and '3' is more than the distance of 'y' and '3'.



Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6639
GPA: 3.82

Re: Is x – 3 > y – 3?
[#permalink]
Show Tags
15 Mar 2018, 12:10
banksy wrote: Is x – 3 > y – 3?
(1) x > y. (2) xу is not equal to 0. Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we have 2 variables (x and y) and 0 equations, C is most likely to be the answer. So, we should consider conditions 1) & 2) together first. After comparing the number of variables and the number of equations, we can save time by considering conditions 1) & 2) together first. Conditions 1) & 2): x = 4, y = 3: Yes x = 3, y = 2: No Since we have two answer, "yes" and "no", both conditions together are not sufficient. Therefore, the answer is E. Normally, in problems which require 2 equations, such as those in which the original conditions include 2 variables, or 3 variables and 1 equation, or 4 variables and 2 equations, each of conditions 1) and 2) provide an additional equation. In these problems, the two key possibilities are that C is the answer (with probability 70%), and E is the answer (with probability 25%). Thus, there is only a 5% chance that A, B or D is the answer. This occurs in common mistake types 3 and 4. Since C (both conditions together are sufficient) is the most likely answer, we save time by first checking whether conditions 1) and 2) are sufficient, when taken together. Obviously, there may be cases in which the answer is A, B, D or E, but if conditions 1) and 2) are NOT sufficient when taken together, the answer must be E.
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The oneandonly World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only $99 for 3 month Online Course" "Free Resources30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons  try it yourself"



Intern
Joined: 11 Feb 2018
Posts: 30

Re: Is x – 3 > y – 3?
[#permalink]
Show Tags
26 Mar 2018, 08:17
fluke wrote: Is x – 3 > y – 3?
x3 > (y3) x3 > y+3 x+y > 6 or x3 > y3 xy > 0 x>y
so; if x>y and x+y>6; we can be sure that x3 > y3
(1) x > y. But we don't know whether x+y>6. Not sufficient.
x=2 y=1 1<2
x=5 y=2 2>1
(2) xу is not equal to 0. We don't know whether x>y or x+y>6. Not sufficient. Same sample set from 1 can be used;
Together; We don't know whether x+y>6. Not sufficient.
Same sample set from 1 can be used.
Ans: "E" I got the solution explained above. My doubt is shouldn't be we checking the other 2 scenarios also which are (x3)>(y3) and (x3) > (y3) my thinking is as there are two modulus involved we should check all the 4 possible scenario x3 > y3 x3 > (y3) (x3)>(y3) (x3) > (y3)




Re: Is x – 3 > y – 3? &nbs
[#permalink]
26 Mar 2018, 08:17






