Q. 15: A hotel charges different prices for the same meal in two different locations. The demand function in each location is given by:
P1 = 50 - 4Q1 in Location 1
P2 = 80 - 3Q2 in Location 2
The hotel's cost function is TC = 120 + 8Q, where Q = Q1 + Q2. Note that in general, the profit is maximized at Q* when (dTC/dQ) = (dP/dQ). The price and quantity at Locations 1 and 2 respectively for which the hotel's profit is maximized are:
(A) P1 = 29.2 P2 = 44 Q1 = 5.2 Q2 = 12
(B) P1 = 44 P2 = 29.2 Q1 = 5.2 Q2 = 12
(C) P1 = 44 P2 = 29.2 Q1 = 12 Q5.2 = 12
(D) None

Quant Thread For CAT 2010 (Number system + Algebra + Arithmetic)

Hi People,

Please use this thread for Quant discussions (for CAT 2010 and other MBA exams of the coming season) related to Number system, Algebra and Arithmetic

Some very simple rules

1. Please do not spam.
2. Try to post a solution and not just the key.
3. Post any and every doubt you have, it helps everyone learn.
4. Be polite and civil

Please use this thread for quant discussions for CAT 2010 and other MBA exams of the coming season..

Some very simple rules

1. Please do not spam.
2. Try to post a solution and not just the key.
3. Post any and every doubt you have, it helps everyone learn.
4. Be polite and civil

Good Luck!

hey implex....can we have separate threads fer the different topics in Quant,just as we did fer the 2009 CAT....eg-Number systems,geometry,arithmetic etc...?

hey implex....can we have separate threads fer the different topics in Quant,just as we did fer the 2009 CAT....eg-Number systems,geometry,arithmetic etc...?

I dont think that is a very good idea, as some of the threads do not get much attraction and users post queries from all topics in one thread only, hence it is a good idea to keep all in one thread itself.

I dont think that is a very good idea, as some of the threads do not get much attraction and users post queries from all topics in one thread only, hence it is a good idea to keep all in one thread itself.

Implex

Thanks for the initiative to start the prep for 2010 but i feel that having separate threads help in categorizing the problems...last year also almost 90% of the threads contained problems specific to it and it was only towards the fag end of the season that there was overlapping.

a person who wants to do a geometry problem can goto the specific thread for the same.

I hope we can discuss it because end of the day its the ease with which one can access the topic one desires matters

Thanks for the initiative to start the prep for 2010 but i feel that having separate threads help in categorizing the problems...last year also almost 90% of the threads contained problems specific to it and it was only towards the fag end of the season that there was overlapping.

a person who wants to do a geometry problem can goto the specific thread for the same.

I hope we can discuss it because end of the day its the ease with which one can access the topic one desires matters

Having multiple threads distributes the traffic and in the end only one or two threads remain active the rest see almost negligible participation.

There is one other reason to have one thread, users who want to post multiple questions in one post with varying topics, will either post all of them in one thread or not post. It is highly unlikely to expect a user to post one question from a set of five in thread A other in thread B and rest in thread C.

But in the end if users want we can have separate threads.

Having multiple threads distributes the traffic and in the end only one or two threads remain active the rest see almost negligible participation.

There is one other reason to have one thread, users who want to post multiple questions in one post with varying topics, will either post all of them in one thread or not post. It is highly unlikely to expect a user to post one question from a set of five in thread A other in thread B and rest in thread C.

But in the end if users want we can have separate threads.

hey Im...if ppl want to post multiple doubts let them post on the single thread,if convenient fer them,but there are a very few cases with multiple doubt,as seen in the 2009 thread the multiple doubts started cropping only at the end of the xam season,see if we want to narrow down on the thread count,we can make 2 threads 1)-Number Sys+Arithmetic+Algebra+Misc 2)Geometry....What do u think?

i guess 2 threads is the answer, as a res the traffic will nt be diverted and we can have maximum no of ppl working together on a single prob,thus more point of views....also most of the CAT ques test concepts frm more than 1 topics,so 2 threads makes sense,bifurcating into two broad topics 1)No.Sys+Algebra 2)Geometry ans Mensuration...what do u think ppl?...lets have a vote count and see,if this idea is a real deal?...

If 'a' is a real number and the equation (a-2)(x-[x])^2 +2(x-[x])
+a^2 =0 (where [x] denotes the greatest integer <=x) has no integral solution and has exactly one solution in (2,3), then 'a' lies in the interval

If any root of the equation is positive then all the coefficients of any power of x will not be positive.
2(x-[x]) and a^2 can not be negative. so only (a-2) has to be negative.
a-2<0 => a<2

if we take a=1 then eqation will not be satisfied.
so i go for option(3)
ie., (-1,0)

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