Free CAT Questions

You get official solutions with each question, and our insights to help you track your preparation.

Click here!
RELATED TAGS
ICICI Amity RBI Great Lakes CAT Verbal FMS Delhi NMAT General Knowledge CAT Quant

CAT

Discuss your CAT preparation strategies here. Find BSchools which accept CAT results. Ask queries and get answers from current students and alumni.

Can someone who attempted Qs 11 in QA provide the approach please? 

First two terms minus ki hai which I understood.. but why and how is the third one added?

  • 17Comments
  • Btw Congrats for the job @christianbale .. :smiley:. 6m.
  • Bhai you're scoring well enough.you deserve that denomina.... 1s.
  17 Comments
christianbale
Ankan Sengupta @christianbale 333

Bhai you're scoring well enough.you deserve that denomination.everybody in this DT deserves it.that's why they've been selected.and thanks for the 'job' part however hapless it might be.:P

39s ago 12.1k CAT Quant

Official Quant Thread for CAT 2014!!

This is the Official CAT 2014 Quantitative preparation group. Solve questions & discuss answers/solutions shortcuts &...

 

None
  • 1 Like   18Comments
  • @prate3k sir ye no. of factors greater than or equal to n.... 11m.
  • @Mohgoel sir koi direct formula to mujhey nahi pata but i.... 39s.
  18 Comments
Mohgoel
Mohgoel @Mohgoel

@prate3k sir ye no. of factors greater than or equal to n...ka koi formula hain??

prate3k
Artyom @prate3k 1.2 k

@Mohgoel sir koi direct formula to mujhey nahi pata but if the number n rtN ke close ho to symmetry ka use kar sakte ho 

1m ago 2.5k CAT Verbal

Official verbal ability thread for CAT 2014

Amidst IIFT,NMAT and other exams preparation we have come so far and near to CAT 2014. Not so many Days (Literally) f...

Choose the best way of writing a sentence:

Except for the first lot, rest all are same.

You can view the comments after answering or skipping this question.

It's not the relevant thread,but wanted to ask,regarding CMAT attestation,do we have to get attestation in a manner that it is half in the pic and half in the rest of the page or can we get it in the blank portion of the admit card ? I have asked someone to do it on the blank portion of the admit card,but some are saying it should be done otherwise,but no specific instructions regarding this are given,so wanted to ask.

  • 6Comments
  • yes it seems necessay ... @abd7. 3m.

9m ago 610

CAT 2014 registration!

Has anyone registered for CAT 2014 which is supposed to begin today. Plz post your experience...

hi guys... I was filling MDI's form online...it asks for CAT registration number...what would it be?

  • Wait for the admit card to come out. 3h.
  • i think ur 7-digit user- id is your registration no. !! I.... 9m.
param1991
Parampreet Singh @param1991 62

i think ur 7-digit user- id is your registration no. !! I read it in some other post 

10m ago 244

[2014] Bull CAT & Mock CAT Scores & Discussion

Please post here scores and discussions for all the BullsEye CATs as well as BullsEye Mock CATs.

1st mock after a month. Not a bad return I'd say

QA - 46A 41C - 118

VA - 43A 36C - 101

OA - 89A 77C - 219

AIR 1

  • 1 Like  
  • BULL CAT 6. 48m.
  • @Burgundy bhai AIMCATs ni derahe?. 10m.

16m ago 720

All I wanted to Speak about CAT

*Download the FREE 'The Best of All I Wanted to speak about CAT' ebook*, a compendium of the best posts on this threa...

As i write this post, I have completed (I presume) a term at IIM Bangalore. Back at home, with Term 2 about to start, I felt I would pen down my thoughts in this sacred thread which motivated me and kept me going for 4 years. I still remember the AIWTSAC of Rohit Gupta and @the_hate I remember these distinctly because, whenever I was down, I had always looked upto these posts which kept me going

Disclaimer

- Pretty long post

My profile

X - 92% (Tamil Nadu)

XII - 97% (Tamil Nadu)

B.Tech(IT) - 88% (2009 passed out - Private engineering college at Chennai)

Category - General

Any remarks - Just another General,Engineer, Male who had 53 months of IT experience when he cracked the CAT

CAT 2010

I was just 8 months experienced at the IT Industry. A faccha, who wrote CAT in October 2010. There was no real preparation and hardwork this time. Wrote CAT owing to "What are you going to do with your life" question. As expected secured 78%ile. Had calls from a few Tier 2 B-schools and was rejected by all of them in their GD-PI

CAT 2011

My nerves started to beat faster now. I became highly insecure of my position. Was not sure where life was taking me. I gave a deep thought and was convinced that MS wasn't my career choice. I wanted to pursue an MBA, and from an IIM. With the kind of preparation and mindset I was in at that point of time, this seemed to be a tough ask. I was out of touch with acads for over 2 years. My work needed me to be at office for nearly 12-13 hours. I initially wanted to take a test series alone and prepare in the remaining time which I got by myself. I went to CL, Tambaram on 7th May 2011. I should say this was the beginning of a change. I met Ajay Zener, an IIM A Alumnus. He was the most genuine and awesome person to talk to. He apprised me of CAT and the strategies to take CAT. I understood that my base wasn't strong and that classroom coaching would enable me to strengthen my base. I joined the CL full time classes and started attending them religiously. Every class was a unique experience. I interacted with serious mock maulers and some best brains. I could see that I was improving slowly and steadily in this process. I still remember, my initial scores were 24/180 in the mocks.. Slowly it improved to early 40s and touched 70s fetching a 90+ percentile. I started to follow a crazy schedule. I came back from office at 9 PM. I slogged for CAT upto morning 2 AM. Slept and again studied for CAT from 6.30 AM to 8 AM before leaving to office. I covered pretty much all concepts by August and gave nearly 15 mocks before giving actual CAT on October. My best score of the season was around 94 percentile. To admit, CAT 2011 was a pretty simple paper. In fact my first question was a simple area problem from co-ordinate geometry. I performed to the best of my ability. I scored a 202 in NMAT and screwed up IIFT/ XAT. I stayed hopeful of CAT . The results were out and dreams were crushed. An amateurish 80 percentile. My quant had gone good. But VA had hit an all time low of 61 percentile. I had no other calls. I had 2 years of experience in IT. I thought, I will try harder..I was decent in all concepts, but there wasn't an area wherein I was strong. So i decided to work harder again.

CAT 2012

This was the year wherein I decided to put in all my energy and effort once more. The mistakes of 2011 made me realize several key lessons. I started to slog much early, as early as February. I completed all basic books of CL once more and started with the mocks from April. This time, I touched the 98 percentiles quite a few times. With experience, My work slightly relaxed at office and I started to stay full time at CL Tambaram. I used to be back from office by 8 PM. stayed at the center and studied till 3AM. Got back at 7 AM and practiced problems till 9.45 AM and left straight to office. I realized that everyday, I should do a bit of QA, VA and LR-DI. As days passed, I was frequented by the question "More than 2 years in IT ? Not leaving abroad ?" , "CAT is all about luck..dont waste your life dreaming about it..Try GRE". I quietly set aside all these. As August approached, I became very sharp at all concepts. I was helping several of my friends with quants and I was determined to crack CAT this time. I was able to articulate the concepts very well. If you are not able to explain a concept in simple terms, you haven't got it enough. I checked myself to ensure I had learnt everything the right way. I solved more mocks and sectional tests. Early October, NMAT came and I secured a 215. This slightly boosted my spirits. CAT went like a breeze. I thought, I had done well. A well-connected study group or in other words a friends group was formed at CL tambaram. I also got to know many nice people from PG. Can never the bunch of amazing people who shared loads of their knowledge to the threads. It was January and I was extremely eager to view my CAT results. As I checked mine, my heart stopped..80 percentile again with balanced sectionals though I thought whether this was some jinx associated with me ! I felt very quiet. I moved on to NMAT, gave the CD-PI and converted NMIMS. Now I took the big decision of my life. I am not joining NMIMS, Mumbai. NM had declared it's average package as 14.5 L. I already had 42 months of workex in IT. Many felt I was getting old (goddamn !! ) Everyone around me thought, I should join a B-school without fail. I went upto Ajay sir and conveyed him my desire of not joining NM.  Ajay supported me and asked me to try once more. He was the only person who believed in my dreams and asked me to try once more. Some guys asked me to join NM quoting the placements, some asked me to try an Onsite opportunity from office quoting the returns. I guess I did the best thing under these perils. I shut myself for sometime and proceed with my dreams

CAT 2013

I started everything again. Even more harder effort this time. Sleep took a backseat and I got engrossed in solving QA and VA.I completely forgot about the end result. I thought, I am going to give one best shot. I also concentrated on my work to improve my profile. As March came, I took up the basic books of TIME/ CL and some other sources and finished them. I had also solved all papers of CAT. I  found methods for DI and LR and sharpened them. I started concentrating exclusively for CAT. For RCs, I developed a skill of skimming passages to identify if i can/cannot solve them.The last three months became an obsession towards CAT..I was able to recognize/solve almost every Quant problem I was in the All india ranks of CL and TIME many times. My mock scores reached a 140+ with >100 scores many times. I also cracked a 99+ score 7 times at the mocks.This time, I filled every form which I could. I wrote NMAT first and then wrote CAT on the first week slot. To our dismay, CAT 2013 turned to be a tricky paper with lesser attempts. My Quant section did not have arithmetic. But I solved all DI and attempted nearly 18 questions. The Quant paper was indeed challenging. Moving to VA, the LR sets turned out to be tricky. Having solved 10 Lr questions, I saw the clock and my heart froze..45 mins were gone and just 25 minutes were remaining. I checked the RCS...Of the three 2 were philosophical, I left them. 1 was simple and straightforward. I cracked all 3 questions. Since I was good in Vocab and EU, solve every other question within 20 mins. As the exam ended I had attempted 37 questions.. I thought it was over and I had to take either an NMIMS or some other college

NMAT results were out and I had scored a 218. Felt relaxed (Atleast I can join one college now). The other exams went well and the big day of CAT results did arrive.I was scared and in no mood to check it..Finally I did and it was a jinxed 97.9 percentile (93.9 in QA + 98.9 in VA. QA had done me in, but the damage wasn't so bad). General cut off for IIM Shillong was instantly announced and it was a 98 overall.. IIMS was out, so was IIMK.

I had calls from NITIE, MDI, SCMHRD, IIM-Indore, NMIMS, New IIMs IMT, XIMB and SPJIMR

3 days later, I checked the site of IIM B. To my surprise I had a call from IIMB. Now when you are close to your dream, you feel energized somehow. Now I knew that to overcome a 2 percentile shortage at CAT, I had to give a real good GD-PI. I started studying everything..Current affairs, Credit Crisis, Eurozone crisis, Obamacare, US Healthcare (Since I was working in Healthcare-IT), Basics of economics, Banking, Acads. I felt the 30 days of GD-PI would transformed me greatly. I developed a perspective towards everything. I conveyed my call to my Manager and he provided me some leeway to prepare. Finally the day did arrive March 03,2014. I went to IIM B campus. The WAT went very well and so was the Interview.

As I received the following mail from IIM B, I cried out my heard ,

Congratulations! Indian Institute of Management Bangalore is pleased to offer you admission to the Post Graduate Programme in Management (2014-2016).

After many years, after so many rejects, I felt peaceful. 

A few of my thoughts

1. Never let anyone decide your future. We are adults. We should think and take our own decisions.

2. Believe your intuition. It is always right.

3. Great things take time to happen. Persevere and wait for your turn.

4. You can never change the result. You can only make your chances bright. So slog and do whatever you can

5. The World around us is seldom clear in their thoughts. So better turn a deaf ear to unproductive comments.

6. Surround yourself with people better than you and who bring about positive energy. Lucky for me I had an awesome mentor, Ajay Zener at CL,Tambaram and a bunch of awesome buddies

7. Finally never give up, Tough times do not last long, Tough people do.

BTW I converted all my calls this year except SPJIMR.

Good luck puys ! Never thought would write a post here

Natarajan Ramachandran,

PGP 2014-16 Batch

IIM Bangalore


  • 91 Likes   25Comments
  • respect to you sir!! You are truly the embodiment of pers.... 14 Sep.
  • Truly inspiring sir!!!. 16m.
  25 Comments
bhanukiranreddy
bhanukiranreddy v @bhanukiranreddy 162

CL Tambaram definitely needs guys of your kind and i am happy to be a part of cl tambaram mate... I hope i wud crack dis year...

sid.cat
sidhartha nanda @sid.cat 12

u r smthng dude..congratzzz...hopefully i can do another Natarajan Ramachandran, in a few months to come..



ferlonso
Valar Morghulis @ferlonso 357

Very inspirational! Congrats on your selection in IIM B

Kokaine
K K @Kokaine 156

respect to you sir!! You are truly the embodiment of perseverance.


Hi people, Hope you are doing good !! Myself Gowtham, currently In IIMB PGP2014-16 batch, so that means i was exactly in your place last year this time. Thanks a lot to pagalguy which had been so helpful in my prep. So its my give back time. Please bug me with your questions about exams, interviews, colleges etc (attended all interviews except A,I and new IIMs) and i will be more than happy to help.

PS: Life is very hectic at IIMB, so Please expect a delay in response

ALL THE BEST

  • 4Comments
  • Can you please share your profile and you cat percentile?.... 1d.
  • hi...congrats for ur achievement bro... this query is ai.... 26m.
rahulomgupta
Kumar Vishal @rahulomgupta

Hello,i m a ph candi pls tell me how to prepare as not much days r left and suggest some gd n pi tips too so that i can manage my prep .Thanks

muksnigs
Mukul Nigam @muksnigs 61

First of all congratulations for IIM B. Could you please suggest a decent percentile to get into IIMs (specially L & I). 

rodimoon
@rodimoon 1

Can you please share your profile and you cat percentile? Thanks in advance..:-)

bpachiciya
Bharat @bpachiciya

hi...congrats for ur achievement bro...

this query is aimed to get clarification regarding age factor or to be more specific about experience factor.

I have around 4 years of experience till date.academics are decent

x-90%,xii-77%,b.tech in instrumentation-71%

working for RBI in bank note production currently in core instrumentation

age is 25 years.

so I jus wanted to knw if my experience can be a drawback for me in interview or during final placements???

please if u can help me on this...

MC-1001502-N

QA : 31C 2W : 91 , quite easy !!

VA : 10C 8W : 22 ( always read statements very carefully in LR...bcz i didn't )

OA : 113 :/ 

  • AIMCATS se toh definitely easy hain MCs CRTs.I'm expectin.... 3h.
  • yupp, MCs toh i think are far more easier than aimcats..i.... 26m.
aashu09
Aashish @aashu09 136

AIMCATS se toh definitely easy hain MCs CRTs.I'm expecting CAT to be on similar lines.What say bro?

param1991
Parampreet Singh @param1991 62

yupp, MCs toh i think are far more easier than aimcats..i guess qa may be on a bit tougher side in actual cat , like not allowing one to attempt more than 41-42 questions in it !!..verbal i think will be of same level !! ..we can just make anticipations only , let's see baaki toh !!  fingers crossed !! :/

33m ago 18.7k General Knowledge

General Knowledge

Welcome to the largest General Knowledge Discussion in the world. With 18,000 questions and counting. Also over 18.4K...

Why Russia suspended from G8 group? Its something related to Crimea, don't know exactly. Thanks in advance

Oa 63/54 153

Qa 37/31 87

Va 26/23 66

Question paper pattern is a real shocker in this one.. I would not like to say more about it.. But please don't get awed by it because thi pattern in this one will intimidate..


  • 1 Like   7Comments
  • @findingbugs bhai 24 LR questions the? :astonished: I .... 2h.
  • bhai maine do hi kiye va rcs mein to 24 hi rhe honge.. :.... 34m.
  7 Comments

47m ago 3.6k

Requests or Offers to Donate your Old CAT Study Material : Strictly no buying or selling

Hi All, This is the season where lot of you people have completed their MBA preparation journey and are wondering whe...

Hi guys ,I am from Chennai .Do any of you have taken byju's package,I can share with you.

  • 9Comments
  • I have seen this number of times..someone posts that he h.... 3h.
  • please mail me too.. its nightingaleindia7@gmail.com. 47m.
  9 Comments
Toughluck2009
Tough Luck @Toughluck2009 2.2 k

I have seen this number of times..someone posts that he has byju's material. .no of ppl say plz share and d one who posted disappears..with Google drive as a free service. .we have already shared almost everything. .search jugaad on pagalguy. .the ones who disappear after posting ..ullu mat banao sabko..if u hv something ..upload on a drive or Dropbox nd share d link..don't keep posting I have and keep disappearing..

1h ago 2.2k CAT Verbal

Grammar and English Usage

A. At a time when there is so much revulsion towards corruption in all walks of life, Sachin seeking to subvert the l...

Select the option that indicates the grammatically correct and appropriate sentence(s).

A. The balance of power will shift to the East as China and India evolve.

B. Rarely the economic ascent of two still relatively poor nations has been watched with such a mixture of awe, opportunism, and trepidation.

C. Postwar era witnessed economic miracles in Japan and South Korea, but neither was populous enough to power worldwide growth or change the game in a complete spectrum of industries.

D. China and India, by contrast, possess the weight and dynamism to transform the 21 st-century global economy.

A.    A, B & C

B.    A & D

C.    C

D.    C & D



  • B?. 5h.
  • Eve I guess it should be B. 1h.

1h ago 72 CAT Quant

Quant Concepts thread for CAT 2014

Hey puys, As we all are geared up to prepare ALL NEW CAT 2014, let us refresh our quant concepts bit by bit. All we n...

BASIC MULTINOMIAL THEOREM:

By Samose Ka


(x+a)^n=nC0*x^n+nC1*x^(n-1)*a+nC2*(x)^(n-2)*a^2..............................nCn*a^n 

Note- Total number of terms here n+1 not n because n is varying from 0 to n so total terms will be n+1 .

You can take small example to get a clear idea as well.


So general term (rth term of this expansion)  of this expansion is

T(r+1)= nCr * x^r * (a)^(n-r) where r varies from 0 to n 

 

  • MULTINOMIAL THEOREM
  • ----------------------------------   

Let the series be,

(x+y+z+k)^n 

So general term of this equation will be

= [ n!/(r1! *r2!*r3!*r4!)] * (x)^r1*(y)^r2*(z)^r3*(k)^r4 

 where, r1+r2+r3+r4=n


EXAMPLE -

Q1.Find coefficient of x^3*y^4*z^3 in expansion of (2x+y+4z)^10 

ANSWER-

General term of this equation is  

= 10!/(r1!*r2!*r3!)  *  (2x)^r1*(y)^r2*(4z)^r3 

=10!/(r1!*r2!*r3!)  * (2)^r1*(4)^r3* x^r1*y^r2*z^r3 

now we have to find

x^3*y^4*z^3 so r1=3 ,r2=4 and r3=3 

put the value of r1,r2,r3 here  

10!/(r1!*r2!*r3!)  * (2)^r1*(4)^r3* x^r1*y^r2*z^r3  

so coefficient is 10!/(3!*4!*3!) * (2)^3*(4)^3 

-----_______________________________________________________________________________

 

QUESTION-2 

find greatest coefficient in (x+y+z+k)^15 

 

 

ANSWER - general term = 15!/(r1!*r2!*r3!*r4!) * x^r1*y^r2*z^r3*k^r4 

 

so basicially we have to maximize 15!/(r1!*r2!*r3!*r4!) term 

 

so we have to minimize (r1!*r2!*r3!*r4!) so for this symmetary is usefull so put values as close as possible here 

 

r1=r2=r3=4 and r4=3 

 

so greatest coefficient is 15!/(3!*(4!)^3)

 

-------------------------------------------------------------------------------------------------------------------------

 

 

 

QUESTION-3 

 

find coefficien of x^6 in (1+x^2-x^3)^8 

 

ANSWER- general term = 8!/r1!*r2!*r3! *  (1)^r1*(x^2)^r2*(-x^3)^r3 

 

                              =  8!/r1!*r2!*r3! * x^(2r1)*(-1)^r3*(x)^3r3 

 

                             =8!/r1!*r2!*r3! *(-1)^r3*x^(2r2+3r3) 

 

now we have to find coefficient of x^6 here (for any coefficient same procedure )

 

so r1+r2+r3=8 

 

   2r2+3r3=6 

 

find r1 ,r2 and r3 here 

 

let r3=0 so r2=3 so r1=2 and let r3=2,so r2=0 so r1=6 (r1,r2,r3 should be integer bcz term can't be negative)

 

 

now coefficient will be 8!/r1!*r2!*r3! *(-1)^r3

 

put both values of r1,r2 and r3 and add 

 

so 8!/5!*3!+8!/2!*6!=84 

----------------________________________________________________________________________________

 

 

NOTE- method seems lengthy  but it will hardly take 1 to 2 min with 100% accuracy (y) 

 

 

CONCEPT-

 

coefficient of x^r in (1-x)^-n is n+r-1cn-1  (dhyan se dekhna its look like n+r-1cr-1 but its n+r-1cn-1 in this case)

 

 

QUESTION- 

 

find coefficint of x^13 in (x+x^2+x^3+x^4+x^5+x^6)^4 

 

ANSWER- 

 (x+x^2+x^3+x^4+x^5+x^6)^4  

 

= x^4(1+x+x^2+x^3+x^4+x^5)^4

 

=x^4(1-x^6/(1-x) )^4

 

= x^4(1-x^6)^4 (1-x)^-4 

so coefficent of x^13 in x^4(1-x^6)^4 (1-x)^-4 

 

so coefficient of x^9 in (1-x^6)^4 (1-x)^-4 

 

 

 

(1-x^6)^4 general term of this is 4cr*(1)^r*(-x^6)^(4-r)= 4cr*(-1)^(4-r)*x^(24-6r) 

 

 (1-x)^-4   coefficient of x^r1 is 4+r-1c4-1=(3+r1)C3

 

 

so 4cr*(-1)^(4-r)*x^24-6r+r1 *( 3+r1)C3 so for coefficient of x^9 

 

 24-6r+r1=9 so 6r-r1=15 so r =3 and r1=3 or r=4 and r1=9 

 

so coefficient = 4cr*(-1)^(4-r)**( 3+r1)C3  ..

 

  =4c3*(-1)^1*6c3+4c4*(-1)^0*(3+9)c3

 

= 140 

 

USEULL IN SOME PROBABILITY PROBLEMS RELATED TO DICE )

 

 

_______________________________________________________________________________

  • 2 Likes  
  • @harshcat91 (1+x)^-n will have what coefficient. and in .... 1h.
sumit6361
Sumit Kumar @sumit6361 18

@harshcat91 (1+x)^-n will have what coefficient.

and in (1-x)^-n coefficient will be +ve. whether it -x or +x have changes in coefficient

Looking beyond IIMs ....wanted to know whats the CAT cutoffs for the past 3 years.....please reply....want to apply .....but wanted to check the cutoffs first

  • The qualifying score is 85%ile overall and 70%ile section.... 1h.
The_Statesman
The Statesman @The_Statesman 2

The qualifying score is 85%ile overall and 70%ile sectionals. The necessary CAT score for getting a call will depend on your academics and overall profile (work-ex, versatility, extracurriculars etc.)