JNU 2010 Doubts

[Ayushya Kaul]

I'll be more than grateful if anyone could address some my doubts regarding some of the questions:
Question 56) How exactly do we calculated Present Discounted value in such a case?
                 Is the answer (b) Rs.2,100?

Question 55) Is Transaction velocity: MV=PT and Income Velocity: MV=PY?


Could someone also take a look at Question 33 and 35?
I have no idea how to go about it :s

Question 41) Which of the following is a function?


Question 40) How does one compute the sum of such an A.P.?

Link for the paper: https://docs.google.com/file/d/0B6IWcTxlhduOcUN2blRkSEZWbDA/edit

[Darth Vader]

I share some of these doubts too. Can anyone answer?

Also could anyone solve Q93) in JNU 2010. How does one calculate Market Capitilization?

Q89) Shouldn't the inverse of f(x)= x^2, be g(y)= y^1/2?

Q 85) Isn't the multiplier (c)? If yes, shouldn't the value be different from 50/3? :s

Thanks in advance!

[Masterpiece]

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[Sinistral]

ok. i'll answer the math ques:

41)
a function SHALL satisfy the following 2 properties:
1) every element of domain should have an image in its co-domain.
2) an element of domain can't have more than 1 image.

check all the options: note that only option c satisfies all the above 2 conditions.

for eg: see option a: if l+b=k (where k is constant) we can get many values of l and b which satisfy the previous equation but still they lead to different values when multiplied (i.e. l*b). i.e. for a given perimeter many values of area possible==> 2nd property not satisfied.

option b: many nos dont have a real square root. ( i m assuming a Real number line here)==> 1st property not satisfied.

and so on..

(40) (EDITED)
see the following link:
http://discussion-forum.2150183.n2.nabble.com/jnu-Q-tp7580607p7580615.html

[laracroft]

hi Sinistral.. for Q 41... even 2 ppl can have the same height ... so ... how to resolve this..???

[Sinistral]

so, if 2 people have the same height which condition of function is violated?

[laracroft]

sorry.. i got confused  with the terms ...

thanks, anyways !

[Sinistral]

:)

[RHIDIMA]

Hey ! Sinitral, u gave some wrong link to Q42..Plz give soln to 42-45..

[jess]

Hi Ayushya,

in Q 40, (d) is the right answer. The series 1+1/2+1/3+1/4+1/5+1/6+1/7+1/8+1/9+... is called the Harmonic Series, and it sums to infinity (very slowly).

[jess]

Hi, basically here height(y) is the image set and the persons(x) are the pre-image. Thus, you can have two x's for same y but not converse. Person 1 and 2 can have height 6"1 and Function idea is not violated then but obviously person 1 cant be 6"1 and 5"6 at the same time.

[jess]

is (b) solution for Q 93?

[jess]

55(a) should be it but i am not sure. your equations seem right though i havent really understood the actual difference between T and Y replaced.

[Sinistral]

nope. not all harmonic series diverge. for eg the alternating harmonic series or the p harmonic series (p>1)
it is proved using comparison test (see link in the above post) or integral test.

[Sinistral]

My bad. the link was right, the ques no which i wrote was wrong. the ques no as per Ayushya Kaul's query is 40. now edited.

[RHIDIMA]

Can u plz give soln to Q42-45??

[Ayushya Kaul]

So the answer for question 93 should be (c)?

[vandita24x7]

yes c

[Ayushya Kaul]

Thanks a lot man!
You seem to be one of the most active and helpful members around here.
Cheers mate!

[Ayushya Kaul]

Presumed the same for the velocity question and got the same answer!