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Absolute Value (Modulus)- Basics
by Total Gadha - Tuesday, 18 December 2007, 09:16 AM
  cat 2010 cat 2009 absolute value modulus xat 2008 mba 2008For all CAT 2009 aspirants starting their preparations, an introduction to absolute value (modulus) will help them to strengthen their basics. The credit for this chapter goes to my CAT 2009 students. Teaching in a classroom is a learning experience. A teacher learns more about the topic from students than what he learns from the books. This chapter is dedicated to all my CAT 2009 students who gradually, through their inquisitiveness, forced me to find more about the subject than what I already knew.

 

 
 

To understand absolute value function, we study the function from two different points.


absolute value 1


absolute value 2


absolute value 3

absolute value 4

We shall discuss this further in our CBT Club students. I shall cover some problems based on this in the CBT Club this week.

 

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Re: Absolute Value (Modulus)- Basics
by dhruv dingliwal - Tuesday, 18 December 2007, 09:32 AM
 

Hi TG,

Yet another superb lecture! And, yes I completely agree with what you said about teaching. In fact, I have myself taught CAT'07 guys in Chennai apart from my job in IT sector. And I too owe a great part of my understanding to my students.

Dhruv

Re: Absolute Value (Modulus)- Basics
by Gul Gul - Tuesday, 18 December 2007, 11:47 AM
  Awesome!.....keep up d gOOd work...smile
Re: Absolute Value (Modulus)- Basics
by shini ... - Tuesday, 18 December 2007, 12:23 PM
 

nice article.. made it look so much easier.. will save a lot of time and equations in solving.

ps: there is a typo error in 7th ques.

...so that |x-2| = 0, and not 2

Re: Absolute Value (Modulus)- Basics
by Small Wonder - Tuesday, 18 December 2007, 04:55 PM
 

TG Sir da jawaab nahi big grin

Small

Re: Absolute Value (Modulus)- Basics
by nirmesh sinha - Tuesday, 18 December 2007, 07:15 PM
 

Dear sir,

if u can include some more creative questions on Modulus .Then it will help to reinforce those concepts.

PS: btw the word creative is redundant as TG's questions are CREATIVE by default!

 

Re: Absolute Value (Modulus)- Basics
by chandu chandu - Tuesday, 18 December 2007, 10:46 PM
  Cool info TJ Sir ThanQ
Re: Absolute Value (Modulus)- Basics
by kohinoor biswas - Wednesday, 19 December 2007, 03:38 PM
  Was just talking about this with a certain Rahul jena yesterday night.. need mod funda and hey presto !!! wat do i find on TG the next day .. Awesome!!
Re: Absolute Value (Modulus)- Basics
by brendan decruz - Wednesday, 19 December 2007, 10:42 PM
 

TG Sir,

great stuff!!!! pleasant revision for us cat07 folks.......

Re: Absolute Value (Modulus)- Basics
by Catapult!!! On the way - Friday, 21 December 2007, 03:59 PM
  Awesome  like alwayssmilesmile
Re: Absolute Value (Modulus)- Basics
by amit kumar - Tuesday, 25 December 2007, 06:42 PM
 

i m new member and finding this site very useful.keep doing good work.always waiting for new discussions.

Re: Absolute Value (Modulus)- Basics
by amitabh yadav - Saturday, 29 December 2007, 09:58 AM
  Hi TG Sir,

I really liked your lecture.Thanks.
In the last question, we were asked to calculate the area of enclosed area;what if we were asked to :
  • calculate the no. of points P(x,y) where x,y both are integers ?
  • and what if the we have a triangular area for this question ?

I think the answer for the first question should be 25...but I am still not sure how to approach this problem for a triangle.


Re: Absolute Value (Modulus)- Basics
by ashutosh singh - Saturday, 5 January 2008, 12:03 AM
  superb lecture.i can say with utmost surity that this is the best i have read about basics of modulus so far.i have started feeling its effect aswell as i find myself at ease with problems involving modulus.
Re: Absolute Value (Modulus)- Basics
by shalini chhabra - Saturday, 5 January 2008, 08:13 PM
  wel sir, are u goin 2 giv lectures on daily basis?
Re: Absolute Value (Modulus)- Basics
by Jay Prakash - Thursday, 10 January 2008, 01:55 PM
 

dear TG,

Just awesome , one more jem from ur source .

Re: Absolute Value (Modulus)- Basics
by Satish Medos - Friday, 11 January 2008, 11:33 PM
  Great Post by TG .... approve
Re: Absolute Value (Modulus)- Basics
by Total Gadha - Saturday, 12 January 2008, 12:05 AM
  Hi Nirmesh,

Will try to post some questions on modulus soon. smile

Total Gadha
Re: Absolute Value (Modulus)- Basics
by Total Gadha - Saturday, 12 January 2008, 12:08 AM
  Hi Shalini,

Dagny and I keep on writing lessons and posting them on the site. You can find these lessons in "Total Gadha's Quant/Verbal Lessons."

Total Gadha
Re: Absolute Value (Modulus)- Basics
by out onalimb - Saturday, 12 January 2008, 02:30 AM
  I really liked how you explained |x| as being distance from 0 & |x-a| as being the distance from a. It gives the whole thing a visual feel which makes it a little simpler. Thank you.
Re: Absolute Value (Modulus)- Basics
by Dvita Khandige - Monday, 14 January 2008, 11:19 AM
 

Hmmm. I can't seem to find any unsolved problems on this page. Am I missing something? Or do I  have to download it from some place else?

Re: Absolute Value (Modulus)- Basics
by fundoo bond - Friday, 18 January 2008, 07:09 PM
 

hi TG sir,

         really a nice posting!!!but the picture A241(absolute value 2) was not visible to me. do other ppl facing the same pbm?

regards,

fundoo

Re: Absolute Value (Modulus)- Basics
by Joel D\'Souza - Thursday, 21 February 2008, 10:25 PM
  Good article TG sir. Could u post some thing on the very basics of 'Functions'?? I'm a commerce student and did not take maths at 10+2.
Re: Absolute Value (Modulus)- Basics
by Joel D\'Souza - Thursday, 21 February 2008, 10:30 PM
  I appeared for CAT 2007 and failed miserably. I desperately want to clear in this attempt. This may sound silly but I'm applying only IIMs A, B & C. My weakness is Maths and now since the focus has increased on Algebra and modern math esp. functions and progressions, my apprehensions are increasing. If it's possible, as CAT 2008 grows closer please hold a session in Mumbai as well. Prof. Arun Sharma and prof. Byju hold sessions in mumbai too.
Re: Absolute Value (Modulus)- Basics
by Total Gadha - Friday, 22 February 2008, 11:28 AM
  Hi Joel,

Strange coincidence but yesterday I received a call from Jitendra, another TG user, for holding sessions in Mumbai. At this point, I doubt I can leave my current students in Delhi. Maybe I will visit Mumbai a few months later. Anyhow, you will always have my support through TG.com. smile

Total Gadha
Re: Absolute Value (Modulus)- Basics
by Amit Aggarwal - Saturday, 24 May 2008, 04:41 PM
 

Awesome article..

 

but had a doubt in the end..it is written

-(3x+4) = 2+ 4x  => x= -2/7

Am i mising something..it shuld have been x= -6/7

 

Let me know if i am wrong..

Re: Absolute Value (Modulus)- Basics
by venugopal prasanth - Sunday, 25 May 2008, 04:25 PM
  absolutely amit......totally agree with you.think there is some fault there too. Anyway Tg you rock and keep inspiring us with these absolutely useful posts of yours.
Re: Absolute Value (Modulus)- Basics
by Navneet Jha - Wednesday, 28 May 2008, 01:48 PM
 

Hi TG,

Its really awesome article..I really cleared my fundamentals a lot..

There is one small error though..

-(3x +4)=2+4x =>-3x -4=2+4x

=> x=-6/7

which again is an invalid answer since -6/7 > -4/3..

Thanks again..

Navneet

Re: Absolute Value (Modulus)- Basics
by Ankit Thakur - Saturday, 26 July 2008, 01:36 PM
  Hi TG,
I am really getting a lot of new concepts in some of the chapters. But I am getting confused in differentiating the lessons of Algebra present here, Can u please guide me which chapters that you have discuss here till now belong to Algebra.
As I think now CAT is giving more stress on Number System, Algebra and Geometry in Quant section, out of which I am confident to tackle Number System questions, but not getting about Algebra. Geometry I have recently started to do.
So please give me the list of chapters present in Lessons list that belong to Algebra.
Re: Absolute Value (Modulus)- Basics
by Ashwin A - Friday, 22 May 2009, 07:27 AM
  Fabulous TG!! Hats off!!!smile. I know many folks who get scared when they hear Mathematics.I wish they meet u someday just to know, how wrong they were in their judgement
Re: Absolute Value (Modulus)- Basics
by saurabh seth - Wednesday, 2 September 2009, 03:10 AM
  Yeah .. a great article.........indeed a great web site

Re: Absolute Value (Modulus)- Basics
by Piyush Agrawal - Wednesday, 2 September 2009, 01:38 PM
 

Hi TG,

Am a new user here. Very good lectures i would say. Helps understand the basics so easily. smile

Piyush.

Re: Absolute Value (Modulus)- Basics
by Netra Mehta - Thursday, 10 September 2009, 11:54 PM
  Hi TG!!
Can u plz explain me the question dat u asked...

What is the minimum value of |x-1| + |x-2| +......+ |x-10| ??

Waitin 4 ur rply....
Thnx
Re: Absolute Value (Modulus)- Basics
by vikash kumar - Saturday, 12 September 2009, 09:25 AM
  hey T.G
can i solve the last question area bounded by region |x+y| + |x-y|=4
as i m getting the answer

|x+y|=distance of x from line y=0 in negative direction
|x-y|=distance of x from line y=0 in positive direction

|x+y|+|x-y|=4 is two parallel line parallel to y=0 n having distance 4

again
|x+y|=|y+x|=distance of y from line x=0 in negative direction
|x-y|=|y-x|=distance of y from line x=0 in positive direction

|x+y|+|x-y|=4 is two parallel line parallel to x=0 n having distance 4

thus the area bounded by both =4*4=16

if this is correct then how can i generallize this

Re: Absolute Value (Modulus)- Basics
by Bhuwnesh Laud - Wednesday, 16 September 2009, 10:33 PM
 

The point x should lie between the extreme points.

The extreme points are 1 and 10 and the distance between the points is 9 units.Now the remaining series has extreme points 2 and 9 and distance between the points is 7 units.

Similarly for points 3 and 8 distance is 7 units, points 4 and 7...3 units

In order to minimize the summation, the point x must lie finally in between 5 and 6. So for x = 5.5 the summation should be minimum.

Re: Absolute Value (Modulus)- Basics
by barry white - Friday, 23 July 2010, 01:48 PM
  This is obsolutely brilliant article. I am really glad I found this.. I was scratching my head not getting the essence of mod from long time.. This article has put all those doubts aside.. Thank you TG sir, I could never forget u!!


PS: I dont know if i am bumping old thread, really sorry for the spam!!
Re: Absolute Value (Modulus)- Basics
by ankur gupta - Friday, 23 July 2010, 05:45 PM
  I must tell you TG sir that you are the changing the rules of the game here by providing such quality material for free..

Other portals and education institutes are definitely worried over how to tackle the 'gadha' phenomenon...

All the best 'idiots'.
Re: Absolute Value (Modulus)- Basics
by ankur gupta - Friday, 23 July 2010, 07:28 PM
  I must tell you TG sir that you are the changing the rules of the game here by providing such quality material for free..

Other portals and education institutes are definitely worried over how to tackle the 'gadha' phenomenon...

All the best 'idiots'.
Re: Absolute Value (Modulus)- Basics
by rajwinder singh - Friday, 24 September 2010, 12:49 PM
  too gud sir.........
doubt
by Shubhang balodi - Sunday, 31 October 2010, 02:37 PM
  ||x|| = x, if x≤0
= -x, if x>0
||x|| + ||y|| = -1 [x,y are real numbers]


Which of the following can never be the value of x2 + y2 ?
Re: Absolute Value (Modulus)- Basics
by priyanka j - Friday, 9 September 2011, 10:43 AM
  Thanks sir for such a nice article. Plz sir provide us some more on modulus. After going through this article my modulus basics are clear, so want to take my preparation further on this topic.
I must be very thankful to u, if u write a new lesson for 2011 students.

Thanks smile smile
Re: Absolute Value (Modulus)- Basics
by sandesh gupta - Sunday, 11 September 2011, 08:01 PM
  Thanks a lot sir ,
Excellent article ... but sir i always get stuck in the question like find the area confined by the graph |x-2| + |Y-3| = 5 (for example) . Can we solve these question by the distance method you discussed .. I request you to take 1-2 example like this one so that we can reinforce our concepts .smile

Re: Absolute Value (Modulus)- Basics
by TG Team - Monday, 12 September 2011, 12:51 PM
 

Hi Sandesh smile

Try to plot the graph of |x| + |y| = 5. I hope you can do that. As it will be simply a region bounded by four lines.

And then just try replacing x by x - 2 and then also y by y - 3.

Hope this helps. smile

Kamal Lohia

DI Query
by n k - Wednesday, 9 November 2011, 12:28 AM
  Hi Kamal,

Sorry for posting at the wrong thread.
Didnt find any DI thread under your name.
My Query:

In an examination, there are 3 sections, each has 5 questions. In the 1st section, the right answer carries 10 marks and wrong answer fetches 3 negative marks. The 2nd and 3rd section carries 8 and 7 marks per question respectively and the negative marking per wrong answer is 2 and 1 for 2nd and 3rd section respectively. If a question is not attempted, it results ‘0’ mark.

1)Which of the following scores is not possible for any student to get?
1. 114
2. 113
3. 115
4. 108

2) If any student gets 120 out of 120, the score will not be considered, what are the maximum possible marks that a student can obtain?
(1) 118 (2) 114 (3) 110 (4) 108 (5) 119
( -- Maximum Score can be 125, why is 120 mentioned here?? --)
Re: Absolute Value (Modulus)- Basics
by robin catch - Saturday, 6 April 2013, 08:20 AM
 

DEAR TG,

 pls explain the conepts and funda basied on these posers.Will be very grateful

1)eqn:  x^5-10x^4+ax^3+bx^2+cx-32=0,given the roots are +ve.

Determine a+b+c

2)eqn: x^3-px^2+qx-8=0; p&q are +ve real;real roots

Determine pmin and qmin

Re: Absolute Value (Modulus)- Basics
by The Dumbest - Monday, 2 September 2013, 06:12 PM
  Great Article TG smile