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# Inequalities and Absolute Value

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Intern
Joined: 11 May 2019
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14 Jul 2019, 14:31
I am facing difficulty with solving the Quant problems that test on Inequalities and Absolute Value, especially the Data Sufficiency questions. Is there a way I can work through to achieve accuracy in this concept.

The Prep materials I have are
1) Manhattan (e-book)
2) Princeton (e-book)
3) Kaplan (e-book)
4) OG 2019

Posted from my mobile device
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Joined: 15 Jan 2018
Posts: 547
Concentration: General Management, Finance
GMAT 1: 720 Q50 V37
Re: Inequalities and Absolute Value  [#permalink]

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15 Jul 2019, 11:00
1
ArbaazRajani - Welcome to GMAT Club!

To answer your question, Inequalities & Absolute values are tough concepts and therefore you should take time to understand the basics before solving questions or blindly memorizing rules. The prep materials you mentioned are good and are self sufficient to understand the concepts.

Also, you'd find several of such questions in the GMAT Club Tests Quizzes. Our Quant experts have posted several such questions in the forum as well; please browse though the Inequalities & Absolute values problems. I would also recommend you enroll to the GMAT Club Test Series; the Quant sectional tests and quizzes are one of the best available resources. All the best!
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Re: Inequalities and Absolute Value  [#permalink]

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15 Jul 2019, 13:01
1
Hi ArbaazRajani,

Both Inequalities and Absolute Values are standard math concepts, but they can sometimes be 'packaged' in ways that appear complex. As such, beyond learning the basic math rules behind those ideas (as well as all of the other subjects that will appear in the Quant section), you will also want to learn the faster/easier Tactics that can help you avoid doing difficult, long-winded math to get to the solutions of those questions. From your post, it's not clear how long you've been studying, so it would help if you could provide a bit more information on how you've been studying and your goals:

Studies:
1) How long have you studied?
2) What study materials have you used so far?
3) How have you scored on EACH of your CATs/mocks (including the Quant and Verbal Scaled Scores for EACH)?

Goals:
4) What is your overall goal score?
5) When are you planning to take the GMAT?
6) When are you planning to apply to Business School?
7) What Schools are you planning to apply to?

GMAT assassins aren't born, they're made,
Rich
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# Rich Cohen

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Re: Inequalities and Absolute Value  [#permalink]

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15 Jul 2019, 15:25
1
Hi ArbaazRajani,

How long ago did you take your last practice CAT/mock (the 400) and have you taken any others?

I ask because your current Test Date is less than 6 weeks away, but raising a Score in the 400s to the point that you can consistently score 720+ will likely require at least another 3 months of consistent, guided study - and you'll have to make significant improvements to how you handle BOTH the Quant and Verbal sections. Thankfully, the GMAT is a consistent, predictable Exam, so you CAN train to score at a higher level, but you might need more study time than you have currently allotted.

In addition, what is the next application-round deadline for the Program that you are interested in? Are you going to be applying to any other Programs?

GMAT assassins aren't born, they're made,
Rich
_________________
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# Rich Cohen

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Re: Inequalities and Absolute Value  [#permalink]

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22 Jul 2019, 09:02
1
1
ArbaazRajani wrote:
Hi Scott.

It would be really a great help, if you could help me with some general advice that could help me boost my preparation in the limited time. I know my desired score is not achievable or maybe very difficult to achieve given the limited time, I am still willing to strive hard and get close to my target as much as possible. However, if that doesn't work out and I end up having a not-so-good score, I'll consider retaking the test at a later date when I am fully prepared.

Thank you again for reaching out.

To improve your verbal and quant skills, you need to follow a study plan that allows you to individually learn each GMAT quant and verbal topic and then practice each topic until you’ve gained mastery. Let me expand on this idea further.

If you are learning about Number Properties, you should develop as much conceptual knowledge about Number Properties as possible. In other words, your goal will be to completely understand properties of factorials, perfect squares, quadratic patterns, LCM, GCF, units digit patterns, divisibility, and remainders, to name a few concepts. After carefully reviewing the conceptual underpinnings of how to answer Number Properties questions, practice by answering 50 or more questions just from Number Properties. When you do dozens of questions of the same type one after the other, you learn just what it takes to get questions of that type correct consistently. If you aren't getting close to 90 percent of questions of a certain type correct, go back and seek to better understand how that type of question works, and then do more questions of that type until you get to around at least 90 percent accuracy in your training. If you get 100 percent of some sets correct, even better. Number Properties is just one example; follow this process for all quant topics.

When you are working on learning to answer questions of a particular type, start off taking your time, and then seek to speed up as you get more comfortable answering questions of that type. As you do such practice, do a thorough analysis of each question that you don't get right. If you got a remainder question wrong, ask yourself why. Did you make a careless mistake? Did you not properly apply the remainder formula? Was there a concept you did not understand in the question? By carefully analyzing your mistakes, you will be able to efficiently fix your weaknesses and in turn improve your GMAT quant skills.

Sentence Correction is a bit of a different animal compared to Reading Comprehension and Critical Reasoning. There are three aspects to getting correct answers to GMAT Sentence Correction questions: what you know, such as grammar rules, what you see, such as violations of grammar rules and the logic of sentence structure, and what you do, such as carefully considering each answer choice in the context of the non-underlined portion of the sentence. To drive up your Sentence Correction score, you likely will have to work on all three of those aspects.

Regarding what you know, first and foremost, you MUST know your grammar rules. Let's be clear, though: GMAT Sentence Correction is not really a test of knowledge of grammar rules. The reason for learning the grammar rules is so that you can determine what sentences convey and whether sentences are well-constructed. In fact, in many cases, incorrect answers to Sentence Correction questions are grammatically flawless. Thus, often your task is to use your knowledge of grammar rules to determine which answer choice creates the most logical sentence meaning and structure.

This determination of whether sentences are well-constructed and logical is the second aspect of finding correct answers to Sentence Correction questions, what you see. To develop this skill, you probably have to slow way down. You won't develop this skill by spending less than two minutes per question. For a while, anyway, you have to spend time with each question, maybe even ten or fifteen minutes on one question sometimes, analyzing every answer choice until you see the details that you have to see in order to choose the correct answer. As you go through the answer choices, consider the meaning conveyed by each version of the sentence. Does the meaning make sense? Even if you can tell what the version is SUPPOSED to convey, does the version really convey that meaning? Is there a verb to go with the subject? Do all pronouns clearly refer to nouns? By slowing way down and looking for these details, you learn to see what you have to see in order to clearly understand which answer to a Sentence Correction question is correct.

There is only one correct answer to any Sentence Correction question, there are clear reasons why that choice is correct and the others are not, and none of those reasons are that the correct version simply "sounds right." In fact, the correct version often sounds a little off at first. That correct answers may sound a little off is not surprising. If the correct answers were always the ones that sounded right, then most people most of the time would get Sentence Correction questions correct, without really knowing why the wrong answers were wrong and the correct answers were correct. So, you have to go beyond choosing what "sounds right" and learn to clearly see the logical reasons why one choice is better than all of the others.

As for the third aspect of getting Sentence Correction questions correct, what you do, the main thing you have to do is be very careful. You have to make sure that you are truly considering the structures of sentences and the meanings conveyed rather than allowing yourself to be tricked into choosing trap answers that sound right but don't convey logical meanings. You also have to make sure that you put some real energy into finding the correct answers. Finding the correct answer to a Sentence Correction question may take bouncing from choice to choice until you start to see the differences that make all choices wrong except for one. Often, when you first look at the choices, only one or two seem obviously incorrect. Getting the right answers takes a certain work ethic. You have to take the time to see the differences between answers and to figure out the precise reasons that one choice is correct.

To improve what you do when you answer Sentence Correction questions, seek to become aware of how you are going about answering them. Are you being careful and looking for logic and details, or are you quickly eliminating choices that sound a little off, and then choosing the best of the rest? If you choose an incorrect answer, consider what you did to arrive at that answer and what you could do differently to arrive at correct answers more consistently. Furthermore, see how many questions you can get correct in a row as you practice. If you break your streak by missing one, consider what you could do differently to extend your streak.

As with your Critical Reasoning and Reading Comprehension regimens, after learning a particular Sentence Correction topic, engage in focused practice with 30 questions or more that involve that topic. As your skills improve, you will want to practice with questions that test you on skills from multiple Sentence Correction topics.

In order to follow the path described above, you may need some new quant and verbal materials, so take a look at the GMAT Club reviews for the best quant and verbal courses. You also may find it helpful to read the following article about The Phases of Preparing for the GMAT.

Feel free to reach out with any further questions. Good luck!
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# Scott Woodbury-Stewart

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Updated on: 15 Jul 2019, 14:22
Hi Empower GMAT
Thanks for helping me out.
Here's the information that you have asked for

I have applied to ISB through the YLP program and also cleared the stage 1 of the application round.

I have given my very first mock (without any prep) in February. Later, I started preparing in the month of March. But due to my work and semester end exams I couldn't study for the GMAT in a full fledged manner. I was just going through the basics and trying to solve easy level questions.

However after completion of my semester end exams, I joined the Jamboree Institute for GMAT prep and have done with my coaching 2 weeks back. I have also taken a leave from my work.

I have scheduled to take the test on 24th August.

I'm doing good with verbal and able to achieve almost 70% accuracy in all the three subsections (A little difficulty in Managing time for RC, but I think will be able to do it by the D-day)

For Quant, I think I have learnt all the basics by now and able to solve the easy level problems, but facing difficulty with application of concepts and time management tactics with medium and hard level questions.

My target score is 720+
Background score is 400 (through GMAT official Mock)

PS: I can dedicate long hours of study until my test date and I am flexible to change with the prep plan.

Please suggest me the best way to get my desired score.

Thanks again!

Posted from my mobile device

Originally posted by ArbaazRajani on 15 Jul 2019, 14:15.
Last edited by ArbaazRajani on 15 Jul 2019, 14:22, edited 1 time in total.
Intern
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Re: Inequalities and Absolute Value  [#permalink]

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15 Jul 2019, 14:20
Hi DisciplinedPrep
Thanks for helping me out.

Posted from my mobile device
Intern
Joined: 11 May 2019
Posts: 17
Re: Inequalities and Absolute Value  [#permalink]

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16 Jul 2019, 02:55
Hi Rich

I have taken my very first mock in 3rd week of February, in which I have scored 400 (ofcourse would have scored a little better if I would have taken the test in similar testing conditions like the official exam). Since then I have been studying regularly but not consistently. I can see improvement in my verbal ability and I'm sure to score a lot better in the next mock I give. As for the Quant Part, I am doing well with the easy level questions but struggling with those that directly do not offer use of basic concepts and there are some tricks to solve such questions. I have been doing OG 2019 questions consistently for a week now and almost half way through it. I am even doing regular analysis of those questions.

The application deadline for the stage 2 is 31st August and so I couldn't schedule any date later than 24th August. As I also need to work simultaneously on my essay and evaluation part.

Apart from ISB, I don't think so there are any similar B schools in India that consider the GMAT score. So, I might most probably send my scores to some foreign universities only. Maybe in Canada, Australia, or USA. (Have not decided about it yet).

Yes, as I have almost 5-6 weeks in hand, I know I'll have to work harder and be consistent. I'm willing to work on a plan that asks for 8-10 hours of daily study.

Please help me with a strategy that I can use to get the desired score in the very less time I have.

Thanking you in anticipation!

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Re: Inequalities and Absolute Value  [#permalink]

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16 Jul 2019, 10:04
Hi ArbaazRajani,

At this point, we don't have a clear sense of your current 'ability level', so I strongly recommend that you take one of the Official GMAC CATs and take it in a realistic fashion (take the FULL CAT - with the Essay and IR sections, take it away from your home, at the same time of day as when you'll take the Official GMAT, etc.). Once you have that score, you should report back here and we can discuss how best to proceed.

GMAT assassins aren't born, they're made,
Rich
_________________
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Contact Rich at: Rich.C@empowergmat.com

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Re: Inequalities and Absolute Value  [#permalink]

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16 Jul 2019, 15:23
Hi Rich.

As you have suggested, I have taken the MGMAT official mock just an hour ago and I have scored 540 there. Seems like I need to work hard a lot in order to achieve my desired score.

I have attached my detailed score report below.

Thanking you in anticipation.

Posted from my mobile device
Attachments

File comment: MGMAT Mock 17.07.2019

IMG_20190717_034752.jpg [ 126.02 KiB | Viewed 497 times ]

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Re: Inequalities and Absolute Value  [#permalink]

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16 Jul 2019, 15:58
Hi ArbaazRajani,

The MGMAT CATs are generally regarded as being a little tougher than the real thing, but even considering that, raising a score in the mid-500s to high-500s to the point that you can consistently score 720+ will likely require at least another 3 months of consistent, guided study - and you'll have to make significant improvements to how you handle BOTH the Quant and Verbal sections. Thankfully, the GMAT is a consistent, predictable Exam, so you CAN train to score at a higher level.

There's no harm in taking the GMAT in August as scheduled, but you will almost certainly have to end up retaking the GMAT at a later date - so you can save some time, money and aggravation by pushing back your Test Date. While that idea probably does not make you happy, you have to remember our REAL Goal: to get into your first-choice School. There's no point to 'rushing' in an application if your GMAT Score won't be strong enough (and you end up getting rejected as a result). By giving yourself more time, you would have a much greater chance to score higher on the GMAT and potentially improve your overall application in other ways.

GMAT assassins aren't born, they're made,
Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

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# Rich Cohen

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Re: Inequalities and Absolute Value  [#permalink]

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16 Jul 2019, 16:15
Hi Rich.

Yes, I do agree with you that 5-6 weeks won't be enough to get the desired score. But rescheduling my test date will result in crossing off ISB as an option for me (atleast for 4-5 years from now). And maybe I'll have to apply to some B-schools abroad for which atleast 2-3 years of work experience is required. Hence, even that is quite not possible.

Is there no other way, I could work on and try to get to score close to my desired score?
EMPOWERgmat Instructor
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Re: Inequalities and Absolute Value  [#permalink]

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17 Jul 2019, 21:40
Hi ArbaazRajani,

I want to start by saying that no one here knows you well enough to say for sure what you are capable of achieving (as far as a GMAT Score is concerned). From the information you have provided, you raised a 400 to a 540 in about 5 months. That 140-point improvement is a really nice gain, but your Score Goal would involve an additional 180-point improvement - and you have only about 6 WEEKS of study time remaining. That type of improvement in such a short period of time is probably too difficult to be considered realistic.

I understand that you want to stick with your current application plans, but we also have to be realistic about this aspect of your plan. What is the minimum GMAT Score that you would apply to ISB with?

GMAT assassins aren't born, they're made,
Rich
_________________
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Contact Rich at: Rich.C@empowergmat.com

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# Rich Cohen

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Re: Inequalities and Absolute Value  [#permalink]

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18 Jul 2019, 04:52
Hi Rich.

The average score at ISB is 710 and that's how I decided to score atleast 10 points more than the average, so that my chances of getting in get increased. However, as it is the average score and not required score, I believe 680-700 would also be fine. But anything less than that would not help.

Also, if I get a score between 680 and 700, maybe I can apply to atleast T-50 B-Schools, if not ISB.

However, I'll strive hard to get 700+, I know it's near to impossible but I'll give my best and also try out my luck on the D-day.

Thanks

Posted from my mobile device
EMPOWERgmat Instructor
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Re: Inequalities and Absolute Value  [#permalink]

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18 Jul 2019, 12:26
Hi ArbaazRajani,

Almost all of the skills that you would need to score 720+ are also needed to score 680+; all of those skills take time to develop though. While I could help you set up a Study Plan for the next 6 weeks, the reality is that you will almost certainly need at least another 3 months of guided study to get to the point that you can consistently score at that higher level. You can (and certainly should) continue to study - but if your overall plan requires that you score at least 680, then you will likely need to consider adjusting the timeframe for that plan.

GMAT assassins aren't born, they're made,
Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

# Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save \$75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/
Intern
Joined: 11 May 2019
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Re: Inequalities and Absolute Value  [#permalink]

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18 Jul 2019, 14:22
Hi Rich.

I am willing to work hard and do my best to prepare for the test. I hope I get to the level where I get good scores consistently. However, as it is very tough and also impossible within the limited time, I'll try to give my best on the D-day but if unfortunately that doesn't give me the desired score, maybe I'll consider retaking the test after thorough preparation giving enough time.

And it would be really a great help if you can help me with a plan on which I can work given the limited time I have. Let's hope for the best.

Thank you so much for the guided discussion.

Posted from my mobile device
EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 15015
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: Inequalities and Absolute Value  [#permalink]

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18 Jul 2019, 22:21
Hi ArbaazRajani,

Based on everything that you’ve described, I think that you would find the EMPOWERgmat Total Score Booster to be quite helpful. Most of our clients complete that Study Plan in under 2 months, but your goal should NOT be to try to 'rush' through any of that material (your focus has to be on learning and practicing the proper Tactics - and again, you will likely need at least 3 months of consistent, guided study to properly master them all). We have a variety of free resources on our site (www.empowergmat.com), so you can 'test out' the Course before setting up an Account.

If you have any additional questions, then just let me know.

GMAT assassins aren't born, they're made,
Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

# Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save \$75 + GMAT Club Tests Free
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Target Test Prep Representative
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Re: Inequalities and Absolute Value  [#permalink]

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19 Jul 2019, 18:54
Hi ArbaazRajani,

I agree that you’ll likely need more time than just 5 weeks to substantially improve your GMAT skills, and thus your GMAT score. However, since you plan to push the envelope and take the GMAT in 5 weeks, would you like some general advice on how to improve your verbal and quant skills?

In the meantime, you may find it helpful to read this article: How to Score a 700+ on the GMAT — A Mini Guide for Success. Good luck!
_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Intern
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Re: Inequalities and Absolute Value  [#permalink]

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19 Jul 2019, 19:35
Hi Scott.

It would be really a great help, if you could help me with some general advice that could help me boost my preparation in the limited time. I know my desired score is not achievable or maybe very difficult to achieve given the limited time, I am still willing to strive hard and get close to my target as much as possible. However, if that doesn't work out and I end up having a not-so-good score, I'll consider retaking the test at a later date when I am fully prepared.

Thank you again for reaching out.
Intern
Joined: 11 May 2019
Posts: 17
Re: Inequalities and Absolute Value  [#permalink]

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22 Jul 2019, 12:02
Hey Scott

Thanks so much for such a detailed strategy to prepare for the test and achieve the desired score. While reading this, at every point I acknowledged what mistake I have been doing and how I was hurrying up to just finish my preparation. But now maybe I can make a clear estimate of how much time I need to spend on my strengths and weaknesses and how to keep on improving my strengths while overcoming the weak areas. Seriously, the points you have mentioned make more sense than what I was doing till now. Surely, this will cost me a few more hours for my preparation but every hour is worth spending.

I really hope I can master the topics tested on the test and give my best on the test day. Having very limited time in hand, I am not sure of my result, but definitely sure of giving my best for it.

Thanks so much again!

Posted from my mobile device
Re: Inequalities and Absolute Value   [#permalink] 22 Jul 2019, 12:02
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