Quant by Arun Sharma

MBA CAT 2024
5746
@insanebasilisk said: Hi! i wanted to know if solving lod 1 and lod 2 from arun sarma is enough for quant
More than enough as long as You improve in Mocks & Analyze your weak areas ......

Regards,
Never Back Down
5747
5748

Pls. solve the below mentioned questn from Time and Work:-

Q1) X can do as much work in 2 days as Y can do in 3 days and Y can do as much work in 4 days as Z can do in 5 days. It takes 20 days if all the 3 work together to complete the work. How much time will Y take to complete the work all by himself?

Options:- 82 days, 44 days, 66 days, 50 days, 46 days

My approach:-

8X=12Y =15Z

Substituting the value of X and Z in the equation:-

1/X + 1/Y + 1/Z = 1/20

My ans is coming to 58 approx.

Q2) it takes 6 days for 3 girls and 2 boys working together to complete a work. 3 boys would do the same work 5 days sooner than 9 girls. How many times does the output of a boy exceed that of a girl??

Option - 3 times , 4 times, 5 times, 6 times, 7 times

My approach:-

3G + 2B = 6

3B = 9G - 5

since the work hours will remain the same:-

(3G + 2B)*6 = (9G - 3B)*5

here B=G...

5749

Find the change in % profit for a fruit vendor who, after finding 20% of the fruits rotten. increased his SP by 10% over and above 15% that he was already charging.

A) -15 B) +11.5 c) -13.8 d) -11.5 e) Insufficient data.

A shopkeeper makes a profit of Q% by selling an object for Rs. 24. Had the CP and SP been interchanged, it would have led to a loss of 62.5Q%. With the latter CP, what should be the new selling price to get a profit of Q%.

a) Rs. 34.4 b) 32.5 c) 25.6 d) 38.4


pls solve these two Qs wid soln...

5750
Hi Puys,
i know this is completely off the topic............
i want to know how do i get a vivid idea of 2009 2010 and 2011 online papers.....???
as they are not available.....easily... is there a book by arun sharma or so?
kindly help......
5751
@PriyankaMitra said: Hi Puys,
i know this is completely off the topic............
i want to know how do i get a vivid idea of 2009 2010 and 2011 online papers.....???
as they are not available.....easily... is there a book by arun sharma or so?
kindly help......
Papers are not-available due to Non-Disclosure policy..but You can read the Experience of people giving the exam on various blogs,articles,PG etc.
5752
But i heard there is a book where similar types of problems are given ... just to give an idea .....to those who havenot taken CAT before
5753

@[571537:PriyankaMitra]

I can understand your concern. Not only you but everybody who is preparing for CAT feels the need of something which can give the idea of the kind of Qns asked in the online version. But sadly, there is no way. Had there been, the CAT wouldnt have been the Wild Goose..err...CAT chase. A chase where you have no idea of the finish line, no idea of the race track but still you gotta run on it.

I wonder if they are going so GMAT like, why not release an official guide of a sort. It can give the test taker an idea of the level of Qns.
But then the CAT is not GMAT. It expects you to prepare in every way possible..read..imaginable.
CAT is not a test of knowledge. It is an Elimination Test. It serves as a Filter to screen out the most prepared candidate out of 2lakh applicants. One such filtering strategy is to include a surprise in every year test.

Coming to the style of Qns asked in the online version,
even the past years paper-pencil tests are not true representation of the online tests of 2k9-2k11. Every Qn in Paper Tests required a logic or a trick to solve it. But in online version the Qns are more like direct formula based, No logic or trick involved.(My view).

So, the best you can do is keep ur concepts straight. Such shud be the clarity of the concepts in ur mind that under exam pressure as well as in a Qn in which the useful information is convoluted, ur fundamentals dont go awry.

And as said by @[520788:LeoN88], when you sit to take the CAT, you have to sign a Non-Disclosure agreement.It forbids you to share Qns or any kind of material from the test.
If a book is available in market having similar Qns as online CAT, Im sure it would have become a bestseller by now or atleast would have enjoyed 1000s of mentions on PagalGuy.

Still if you come aross any such book pls share it here.

Happy chasing CAT.

P.S. My intention is not to scare you but to give u a right perspective of CAT. I believe it will help you prepare well for the exam if you know the purpose of the exam.
5754

@[67562:Elusionist] so which books are best these quant topics...

5755
@ayushbhalotia said:

Pls. solve the below mentioned questn from Time and Work:-

Q1) X can do as much work in 2 days as Y can do in 3 days and Y can do as much work in 4 days as Z can do in 5 days. It takes 20 days if all the 3 work together to complete the work. How much time will Y take to complete the work all by himself?

Options:- 82 days, 44 days, 66 days, 50 days, 46 days

My approach:-

8X=12Y =15Z

Substituting the value of X and Z in the equation:-

1/X + 1/Y + 1/Z = 1/20

My ans is coming to 58 approx.

Let the efficiecny or Rate of doing work for Y be 10 unit/day.

This means that Y does 10 unit of work per day, irrespective of any condition, or any other person involved.

Now given, X = 3/2 Y
So, X does 15 units of work per day ie efficiency of X = 15

Also given Z = 4/5 Y
So, Y does 8 units of work per day i.e. efficiency of Y = 8

If they work together for 1 day, total work done
= total efficiency = X + Y + Z
= 15 + 10 + 8
= 33 units of work in 1 day

Given that all 3 people work together for 20 days
So total work done = 33*20 = 660 units of work

Now , the number of days Y alone will take to complete this much amount of work = 660/10 (Since he does 10 units of work per day)
= 66 days ................ Answer
***********************
Save urslef from getting tangled in Fractions.

I assumed Y's efficiency as 10 after seeing the ratios 3/2 and 4/5.
LCM(5,2) = 10.

5756

Q3 . If (a/(b+c)) = (c/(b+a)) = (b/(a+c)), then each fraction is equal to

  1. (a+b+c)^2
  2. 1/2
  1. 1/4
  1. 0
  2. None of these

Q28. A cat take 5 leaps for every 4 leaps of a dog, but 3 leaps of dog are equal to 4 leaps of cat. What is the ratio of the speed of the cat to that of the dog?

  1. 11:15
  1. 15:11
  1. 16:15
  1. 15:16
  1. 11:16

Q46 . A varies jointly as B and C, and A = 6 when B = 3 and C = 2. Find A when B = 5, C = 7

  1. 17.5
  1. 35
  1. 70
  2. 105

Guys please give the explanation of the answer don't just reply back the answer, thanks in advance
5757

plz plz reply....


in this thread, is that all the questions which are discussed are from arun sharma or somthing else...??
i m new to arun sharma.. plz help me to solve the questions i m doin TIME and WORK.. Kindly tell me from where i can find the solutions of difficult prob?
thanx in advance :)
5758

@[568667:Psychamour] hmmm.. y u assumed y as 1/10 why not 1 or 100%?? also how u got the values of x and z that are 15 and 8 ?

also is this of arun sharma question??
5759

Q.Three runners A,B and C run a race, with runner A finishing 24 meters ahead of runner B and 36 meters ahead of runner C, while B finishes 16 meters ahead of runner C. Each runner travels the entire distance at a constant speed. What was the length of the race?

a)72 meters b)96 meters c)120meters d)144 meters
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answer is 96meters


sol:
let total distance be x
then A...completes x
B ...completes x-24
C...completes x-36

as per second statement after A completes race B covers 24 mt to complete his race whereas C has covered 20 (36-16) mt
so B:C = 24:20 = 6:5

therefor (x-24)/(x-36) = 6/5
x = 96

5761

Q. A speaks truth 80% of the time and B speaks truth 75% of time. Find out the probability when A contradicts with B.

a).15 b).20 c).25 d).35

5762

@[260915:saikatdgp] .25?

80/100*25/100+20/100*75/100

5763

@[585700:KatMann]

It is .35

process is correct though

5764

silly calculation mistake..

5765
@ankitgalgat said:@Psychamour hmmm.. y u assumed y as 1/10 why not 1 or 100%?? also how u got the values of x and z that are 15 and 8 ?
also is this of arun sharma question??
First of all I assumed Y's rate as 10 not 1/10.
----------
You seem like u have got urself confused between expressing the efficiency of doing work in Fractions, Percentages, and simple integers..---I guess, a result of quickly glancing thru Arun Sharma chapter on TimeWork. This is because there are examples related to all the 3 types in the textbook. I would adivse that you go thru the theory at slow pace..digest the information and then the Qns. Keep in mind at all the times that every Qn can be solved by all the 3 approaches - expressing rate of doing work in terms of percentages or fractions or simple integers BUT only one approach at a time -- no mixing up..unless there is a special demand by the Qn to do so. Then solve few Qns by all the 3 approaches-one approach at a time. This will help u determine which approach ur comfrtable with.
------------
Now coming to ur doubts,
Its given that X can do "as much work" in 2 days as Y can do in 3 days.
Forget all theoretical-mathematical concepts and just use ur logic to interpret the above sentence.
You shud be able to derive this info from the sentence.
"The sentence means that X is a better worker than Y since he finishes an assignment in only 2 days for which Y takes 3 days."
Let us imagine this assignment be 'Weaving a Carpet"

Now express this in mathematical terms, let Y weave L metre of carpet in 1 day. So, in 3 days he will weave, L+L+L = 3L metres of carpet. This finishes the job, Carpet has been woven.
Now Y goes to X and challenges him to weave a carpet of same length and same quality.
Since we know already that X is a better weaver he will take lesser time to do the job. How much lesser? We pick information from the Qn.. 2 days.
So, if X has to weave a carpet of length 3L metre in two days, how much should he weave in 1 day?
1.5L metre = 3L/2 metre
So X's one day work of weaving = 3L/2 metre = X's rate of doing work or X's efficiency = X
Y's one day work of weaving = L metre = Y's rate of doing work or Y's efficiency. = Y

Similary work out to find
Z's one day work of weaving = 4L/5 metre = Z's rate of doing work or Y's efficiency. = Z
Now its given that all 3 work together for 20 days.
ie in our story all three weavers start weaving a single carpet and continue doing it for 20 days.
We know from above derivations that
On day one, X will weave 3L/2 metre
Y will weave L metres
and Z will weave 4L/5 metres
So in one day total length of carpet woven = (3L/2 + L + 4L/5) metres
= ( 5L/2 + 4L/5)
= 33L/10 metres
************
Take a break here and think if we had taken the length of carpet woven by Y as 10metres , what change it would have brought about in calculations.
We would have determined the length of carpet woven by X on 1st day as 3L/2 = 3*10/2 = 15 metres
Then the length of carpet woven by Z on 1st day as 4L/5 = 4*10/5 = 8 metres and then to find the total length of carpet woven by all 3 chaps in 1 day we could have very conveniently added the three numbers 15m + 10m + 8m to get 33metres
So simple, no adding of fractions, no taking LCMs to add fractions..just simply adding numbers.
This is why the approach of assuming the efficiency as integers is better than the other 2 approches.
Why I assumed only 10? No I dont have any special attraction towards 10.
I had to choose a number wich wud give me no pain in multiplying with 3/2 and 4/5 for calculating the rate of weaving carpet of X and Z. This shud be the multiple of LCM(2,5) ie any multiple of 10. My job would have been done by assuming L = 100 or 1250 or 10000 metres but 10 wud have given me least pain. So I chose 10.
This Qn involved small numbers so it could be that the difference achieved or time saved in the latter approach might not be noticeable but if you will come across a Qn in which bigger numbers are there or a Qn in which lot of information is given then you will feel the importance of this method.
For clarity of concept, try solving the problem by assuming Y does 1 unit of work in 3 days..then assume Y does 1 unit of work each day and then assume that Y does 100% of work in 3 days.
Note that its not a thumb rule to assume efficiency as integer in every Qn. There are cases when assuming the efficiency in terms of fractions or in percentages prove beneficial.You should be shrewd enough to decide the strategy upon seeing the Qn as to which approach will give u less pain and will take lesser time.
Needless to say that this ability can be developed and honed only by practicing and practicing.
**********************
Hope this solves your doubts.
Get back in case if you are unclear abt anythng.