CAT 2015 – Common Admission Test

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853 CAT FORE New Delhi

[2015-2017] FORE School of Management Admission Help Desk

Hi All, Applications are now open for the 2-year full time programs, PGDM & PGDM-IB, at FORE School of Management,...

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@prateekm28 : Can you please reiterate the procedure of refund of fees and withdrawal of admission. I got in through the second list on 20th april, 2015.

Thanks a lot in advance...

  • drop a hard copy of application with the receipt to the c.... 39m.
bittu_1stjan
rule 2 no names @bittu_1stjan 21

drop a hard copy of application with the receipt to the college..email the same

1.8k CAT IIM Shillong

OBC Discussion thread for IIMs and other mba colleges..

*Hi Puys!!**This thread is designed to Help/ Assist "Other Backward Category" Students appearing for CAT 2013 and oth...

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IIM Raipur 2nd List, any update ??

  • 21 Comments
  • Puys can I have hope for obc 358 :disappointed: raipur .... 43m.
Raj-aki
Raj R2D2 @Raj-aki 5

Puys can I have hope for obc 358 raipur s my only bet

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IIM I Vs. SPJIMR Vs. IIM K

334 people answered this question.
26 Comments
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For IIM RAIPUR...

Any NC OBC who's WL number changed ,please mention Old and new WL number.....

If converted please mention WL num..

853 CAT IIM Lucknow

Second Stage (GD/GE/PI/WAT) Shortlist Announcement for IIM-L (Released)

The shortlist for IIM-L has been released. Visit http://www.iiml.ac.in/?page_id=1954 to find out if you've made it. S...

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I just got an e-mail stating that I have an admission offer from IIM Lucknow PGP-ABM. The last date of payment is mentioned as 30 May 2015. I have a convert from IIM Indore so I need to research and choose between the two. If I pay right now and book my seat, what is the last date of withdrawal in that case to ensure that only 1000 is deducted from the acceptance fee of 50000?

  • 11 Comments
  • I just messaged you.. 1h.
CAT '14: 99.29 || Converts: L (ABM), I, S, SPJIMR (Finance) || Rejects: K, FMS  

759 CAT Quant CAT

Time Speed and Distance, Work, Alligations & Mixtures

Katrina walks down an up-escalator and counts 150 steps. Priyanka walks up the same escalator and counts 75 steps. Ka...

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Time and Work

In most of the questions on Time and Work, an initial scenario is given where the work done by a few people/groups/objects is compared. The question then goes on to describe another scenario, where the work done and/or time taken by one of the groups is given and the work done/time taken by another group is asked.


Let us take an example:

A can complete a project in 10 days. B can complete the same project in 15 days. Find the time taken to complete the project if A and B work on it together.

To solve this problem, the method generally used is:
Work done by A in one day = 1/10
Work done by B in one day = 1/15
Work done by A and B together in one day = 1/10 + 1/15 = 5/30 = 1/6
Therefore, they can complete the project in 1/(1/6) days = 6 days.

Now, let us take a slightly different approach to solve the problem:

A can complete the project in 10 days and B can complete the project in 15 days. The LCM of 10 and 15 is 30. So, think of the work as consisting of 30 units. Since A can complete it in 10 days, A's work per day = 3 units. Similarly, since B can complete the work in 15 days, B's work per day = 2 units. So, the work done by A and B together is 3+2 = 5 units. Since the work that needs to be done to complete the project is 30 units, the time taken by A and B together = 30/5 = 6 days.

What we have done here is convert a problem of fractions into a problem of whole numbers by multiplying each number with the LCM. The advantage with this slightly different method is that as the difficulty of the problem increases, the solution becomes that much easier.


Consider another example:

Three taps can fill a tank in 1 hour, 2 hours and 5 hours respectively. Another 3 taps can empty the tank in 6, 8 and 10 hours respectively. If all the taps are opened simultaneously, find the time in which the empty tank gets filled.

The traditional method involves dealing with 1, 1/2, 1/5 and fractions of the like. If we use the second method, we can solve the problem more easily:
The LCM of 1,2,5,6,8 and 10 is 120. So, let the total work done in filling the tap be 120 units. The work done by the taps in one hour are 120 units, 60 units, 24 units, -20 units, -15 units and -12 units respectively. The negative signs are for the taps that drain the tank. So, the work done by all the taps together is 120 + 60 + 24 - 20 - 15 - 12 = 157 units. Therefore, the time taken to fill the tank = 120/157 hours.


Problems involving comparison of work done by man, woman and child


Another type of question that is frequently asked is comparison of work between man, woman and child.


Consider the following example:

4 men or 8 women or 12 children can complete a project in 100 days. Find the time taken to complete the work if 6 men, 16 women and 12 children together work on the project.

Let the work be 2400 units. Therefore, work done by 4 men in one day = 2400/100 = 24 units, or work done by one man in one day = 6 units. Similarly, work done by one woman in one day = 3 units and work done by one child in one day = 2 units.

Therefore, work done by 6 men, 16 women and 12 children in one day = 36 + 48 + 24 = 108 units. Therefore, the time required to complete the project = 2400/108 = 200/9 days.


Consider a slight variation of the above problem:

A project can be completed by 4 men in 20 days or by 6 women in 25 days or by 24 children in 50 days. Find the time taken to complete the project if man, woman and child work on successive days i.e., one man works one the first day, one woman works on the second day, one child works on the third day and the cycle keeps repeating.

Let the number of units of work required be 6000. So, work done by 4 men = 300 units per day => word done by one man = 300/4 = 75 units per day. Similarly, work done by one woman = 6000/25/6 = 40 units per day and work done by one child = 6000/50/24 = 5 units per day. So, work done in one cycle (3 days) = 75 + 40 + 5 = 120 units. Therefore, number of cycles required = 6000/120 = 50 cycles. Number of days required = 50*3 = 150 days.


Substitution Problems


One variety of problems that can be tricky are substitution problems.


Consider the following example:

A man can complete a project in 100 days. A woman can complete it in 120 days. A group of 20 men start working on the project. After the first day, one man is replaced by a woman. On the second day, one more man is replaced by a woman. This process keeps repeating. Find the number of days required to complete the project.

Let the number of units of work involved be 2400. Work done by a man in one day = 24. Work done a woman in one day = 20. Since 20 men work on day 1, the work done on day 1 = 480. The next day, work done by the group = 19*24 + 20 = 476. On day 3, the work done = 472 and so on. In 5 days, the work done = 2360. Therefore, the work is completed on the 6th day.


Solved Examples


1) 10 men can complete a piece of work in 40 days. 15 women can complete the same work in 30 days. Find the time in which 5 men and 9 women, working together, will complete the same work.

Solution: Let the total work be 1200 units. Work done by 10 men in one day = 30 units. Work done by one man in one day = 3 units.

Work done by 15 women in one day = 40 units. Work done by one woman in one day = 2(2/3) units.

Work done by 5 men and 9 women in one day = 15+24 = 39 units. Therefore, total time needed to complete the work = 1200/39 = 30(30/39) days.


2) A tap takes 3 hours to fill a tank. Another tap takes 4 hours to empty the tank. If both the taps are opened simultaneously, find the time taken to fill a tank which is 40% full.

Solution: Let the work required be 12 units. Work done by first tap = 4 units/hour. Work done by second tap = -3units/hour. Therefore, work done by both the taps together = 1 unit/hour.

Work needed to be done = 60% of 12 units = 7.2 units. Therefore, time taken = 7.2/1 = 7 hours 12 minutes.

Maruti Konduri is an alumnus of IIT Bombay and IIM Ahmedabad and is the co-founder of the CAT preparation site Cracku (http://cracku.in)

  • 6 Likes  
  • Ssuperb! Really useful tricks. Thank you so much.. 2h.
FREE CAT Mocks conducted by IIM Alumni. Enroll today http://cracku.in/cat/mockcat 
netsavvy
@netsavvy 18

Ssuperb! Really useful tricks. Thank you so much.

451 CAT

Official Verbal Thread CAT 2015

As we are done with CAT 2014 and those who feel that they need to start all over again, and they see IIM as a calling...

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IMS ID: 99A69587

SIMCAT 102 (Take home):

QA/DI - 89 (30C 1W) 99.33

VA/LR - 50 (20C 10W) 89.93

OA - 139 (98.82)

Gave the paper in 123 minutes (due to pleasantly unforeseen circumstances ), so overall satisfied. Could have raked up the VA score but had just 41 minutes left when i finished the QA part.

  • 2 Likes  
  • YOu can continue the test and finish it.....take homes .... 3h.
IPersistBecauseIChooseTo.. CAT'14: 97.05(QA89nVA99) | XAT: 96.22 | IIFT: 97.27 | NMAT: 98.8 | SNAP: 99.43 || Converts: NM, MDI-WL, SIBMP-WL, NewIIM-UKRRR -WL 
guitar_geek
you just wasted time reading this @guitar_geek 889

YOu can continue the test  and finish it.....take  homes can  be resumed at any time .

2.6k CAT

[Official] Quant Thread for 2015!!!

As we are done with CAT 2014 and those who feel that they need to start all over again, and they see IIM as a calling...

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CP of 12 articles = SP of 9 articles. Profit on 5 articles = Discount on 10 articles. Find markup% and discount% ??

Please post the solution..!

  • 21 Comments
  • Ah, my bad, I was calculating it on sp :disappointed:. 4h.
smilewithsumi
. @smilewithsumi 975

Ah, my bad, I was calculating it on sp

1.3k CAT

SC/ST & PH students queries and discussion for CAT 2014 & other Exams

Hi all, There was no new thread for 2014, so this is a new thread (created previously by smokeMBA) In continuation of...

50.9k CAT Quant CAT

Official Quant thread for CAT 2013

Hello all, As the CAT 2K12 come to a close, starting this thread for all the discussions of quant for CAT 2013. Here ...

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At a certain point the angle of elevation of a tower is found to be such that its cotangent is 3/5. On walking 32 metres directly towards the tower, its angle of elevation is an angle whose cotangent is 2/3. Find the height of the tower. Pls give the approach as well.

  • 3 Comments
  • h = 480 ?. 6h.
  • h=192m ?. 5h.

10.8k CAT

[2012] Which B-Schools should you apply to?

Hi All With the season 2012 getting closer to the months which are going to be full of applications for different exa...

1.1k CAT IMI Delhi New Delhi

IMI Delhi Admission HelpDesk 2015-17

Hi Puys,You can ask all the queries related to admissions of IMI here.

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What exactly are institute level seats? 

  • 12 Comments
  • Yes yes i'll do that. So by doing that I'll be eligible f.... 8h.
  • some colleges require u to register and verify docs. some.... 5h.
Maneesha21
@Maneesha21

Yes yes i'll do that. So by doing that I'll be eligible for ILS too? 

devanshkotak
devansh kotak @devanshkotak 6

some colleges require u to register and verify docs. some dont, so it all depends on the col u want ils in. u seem more inclined towards ils seats? gonna pay some donation? :P 

528 CAT

[Official] (2015-2017) IIM Ranchi Admission Queries and Discussion

This thread is for all those who wish to be a part of IIM Ranchi's PGDM and PGDHRM (2015-2017 batch) programs. ...

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i have not even  been waitlisted till now after 3 rounds at iim ranchi..any chances of conversion left now under general category?

  • 5 Comments
  • .. 12h.
  • #. 6h.

1k CAT FMS New Delhi

[2015-17] Official FMS Discussions Page

*FMS Tracker : * https://docs.google.com/spreadsheets/d/1IhuLl6Mg6jrkOhMvNrKBkovJCaKcvlH0Yn5FN0E_HVw/edit#gid=973562...

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Any DA candidate who is withdrawing from K or C plzz cpntact. Its very very urgent.

  • I wish u had ur own business to mind @umesh.agarwal. 6h.
  • @pammie i was doing that only...but if dont want somebod.... 6h.
pammie
mimi roy @pammie 2

I wish u had ur own business to mind @umesh.agarwal 

umesh.agarwal
@umesh.agarwal 8

@pammie  i was doing that only...but if dont want somebody's help...be my guest and lick somebody else's mind...

40 CAT

[2015-17] IIM Raipur Admission Queries and Discussions [OFFICIAL]

Greetings from the IIM Raipur fraternity, Welcome to the *Official Thread of Admissions [2015-17]* at IIM Raipur. T...

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THe waitlist has not moved at all for NC-OBC Category , Any info on this?????

  • Same.....m shocked!!! Ny insights plzz share..... 6h.
asin.juneja
@asin.juneja 2

Same.....m shocked!!! Ny insights plzz share....

24.9k General Knowledge CAT

General Knowledge

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

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Man Booker International Prize 2015 ?

71 people answered this question.
1 Comments
Do not compare yourself to others. If you do so, you are insulting yourself.  
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10 CAT

SC/ST & PH students queries and discussion for CAT 2015 & other Exams

Hi all, There was no new thread for 2015, so this is a new thread (created previously by smokeMBA) In continuation of...

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DASHCAT 4- Score 137, percentile- 96.42,  AIR-27 .Aur kisine diya ?

"No one can make you feel inferior without your consent."