PG Premier League - Chennai Dream Team

[rock_deepak]

Originally Posted by satanica

Problem 2
A group of 14 friends went on a vacation. The dining room staff at the resort said that the 14 of them could not be seated at the same table, so they put them at two tables, of 8 and 6 seats respectively. Now, if everyone wants to sit at least once with everyone else, how many meals do would it take to accomplish this?

Note: "sit with" doesn't mean "sit next to". It just means "sit at the same table".

Note: This is not a trick question. So, at a given meal one has to sit in one seat throughout the meal, the tables do not overlap, etc.

3 meals.
Let the people be be denoted as 1... 14
Meal1:
1 2 3 4 5 6 7 8
9 10 11 12 13 14
Meal2:
9 10 11 12 5 6 7 8
1 2 3 4 13 14
Meal3:
1 2 3 4 9 10 11 12
5 6 7 8 13 14

[satanica]

Originally Posted by krsh.vik

What's the # of contestants ? Does it make sense to assume that it is 5 and go ahead? Or doesn't it make any difference ?

The # of the contestants is variable and open to assumption.
The only concern is that you have to find the minimum possible number of contestants who exactly solved 5 problems each. This may happen for a certain # of contestants but may not happen for another # of contestants.

[an_elusive_lady]

Originally Posted by satanica

Here are a couple of problems, which may seem familiar, but are a bit twisted.

Problem 1
In a mathematical competition 6 problems were posed to the contestants. Each pair of problems was solved by more than two-fifths (2/5) of the contestants. Nobody solved all 6 problems.

Find the least possible number of candidates who solved exactly 5 problems.

Sorry, answer is wrong. Will edit once i rethink solution.

[rock_deepak]

Originally Posted by satanica

Problem 1
In a mathematical competition 6 problems were posed to the contestants. Each pair of problems was solved by more than two-fifths (2/5) of the contestants. Nobody solved all 6 problems.

Find the least possible number of candidates who solved exactly 5 problems.

Suppose there are 5x no. of people.
Let 3x no. of people solve p1 p2 p3 & p4 only
remaining 2x have solved p5 & p6 only
In such a case the no. of people who solved exactly 5 is 0

Am not sure with my logic
Do correct me if am wrong

[naga25french]

ma simcat score for this week..

ma percentile:
qa 87.37

di 80.46

va 93.63

overall 94.39

[satanica]

Originally Posted by satanica

...Here are a couple of problems, which may seem familiar, but are a bit twisted.

Problem 1
In a mathematical competition 6 problems were posed to the contestants. Each pair of problems was solved by more than two-fifths (2/5) of the contestants. Nobody solved all 6 problems.

Find the least possible number of candidates who solved exactly 5 problems.
...

I started solving this and then realized that this requires some extensive work from Graph Theory and PnC. In the first glance it looks easy but it is not. Apologies for the same. We can safely ignore this problem w.r.t. CAT.

Here's another one.

You have an infinte supply of notes of Rs.6, Rs.9 and Rs.20.
Now a guy will come and ask you for some money. Obviously you can not give him every amount that he asks for with these set of notes. e.g. You can not give him Rs.7, Rs.8, Rs.11 etc.

What is the maximum amount that cannot be given with these notes?

[naga25french]

Originally Posted by satanica

Here's another one.

You have an infinte supply of notes of Rs.6, Rs.9 and Rs.20.
Now a guy will come and ask you for some money. Obviously you can not give him every amount that he asks for with these set of notes. e.g. You can not give him Rs.7, Rs.8, Rs.11 etc.

What is the maximum amount that cannot be given with these notes?

let me make a wild guess on this question..

the maximum amount amount that cannot be given is

(LCM of 6,9,20) - 1

180 - 1 = 179...

so answer should be 179..

looks weird...

but i guess this should be maximum amount...

[argho1985]

hi guys,

i have uploaded the excel file .........

just now saw that IIFM ( institute of forest management has came up with thier form.....) so guys who are interested in it can go for it........






rock on
Argho1985
ICFAI chennai batch of 2009

[nishant_rungta]

@Murty and others.. This is WRT the verbal question which I had posted earlier. The controversy on the incorrect sentence stands resolved by the IMS mentors Here's their reply:

Sentence:
> "that people can't quite decide which is the more amazing - the
> fact or the thinking of it."
>

IMS Response:

I don't think there's anything wrong with this; it's just a contraction of the usage "which is the more amazing of the two events - the fact or the thinking of it" which is standard usage when comparing only two things.

For example you would say "she is more beautiful than all other contestants" but never "she is more beautiful of the two". It would always have to be "she is the more beautiful of the two". Wouldn't you agree?

[somname]

Originally Posted by exile

Posting the scores alone makes it look like a mock cat repository. Puys, share your strategy also. esp.. ppl who are scoring well in mocks. it will be mighty helpful for guys like me.

Here goes my story for 0910:
,---------------------------- ------------------------>

Ya, long time no post from my side.

But this kind of paper is exactly wat i used to love. Speed being foremost and choosing questions being more important than being bull-headed.
The most important point in such a paper is how fast you can REJECT questions. Usually, one feels obligated to mark an option if one has spent some time pondering a question.. that is exactly what is to be avoided.

Also, speed does not mean not reading all the questions.. it means how fast you can read any individual question and decide not to answer it.

As for improvements here, one should generally try to answer the VA questions first in such a speed-based paper since the VA questions are less time-consuming than RCs..

Again, in quant, one should read all the questions because invariably, there wil be some sitters present which you will miss out in case you do not read all of them. This also has an effect of increasing ur accuracy levels since you should choose only those questions which you are confident about and won't spend much time on.

DI: this was traditionally my weakest section. I used to go for the graph based questions first rather than the LR ones since LR takes a lot of time usually, and one can never say whether one will be able to solve the set or not. Whereas, in graph-based questions, one can safely be sure that at least 70-80% accuracy will be there.

In case of further doubts, feel free to ping/irritate me as srikanth does

Soham