Gokhale Model Paper I

[Anjali]

For 12th and 9th its C

[econ14]

hey anjali plz explain the working for these questions......................
(why is this progressive tax)
If your tax payments rises faster than your income rises, the tax is a
 a) progressive tax
 b) regressive tax
 c) proportional tax
 d) fate rate tax

10) Of the production functions, which one of the following represents decreasing
returns to scale?
 a) Q = 2K + 3L +KL
 b) Q = 20K 0.6 L 0.5
 
 c) Q = 100 + 3K +2L
 d) Both a) and c) above (how to do this ? looks simple but cant draw proper conclusion.....)

28 In the IS curve, consumption, government expenditure, exports, and imports are a
function of
 a) expectations.
 b) current output.
 c) potential output. (why on potential not current output)
 d) the interest rate.

5 In a certain town, 3 people are born every 7 seconds and 7 people die every 11
seconds. Therefore the birth and death rates account for a population growth rate of
one person every
 a) 3/11
 b) 16/21
 c) 7/11         (not able to solve plz help)
 d) 3/17

19 Let 1 + 0.1 + 0.12
+ 0.13
+ 0.14 + ……….. = x , then x close to,
 a) 0.1
 b) 1.1
 c) 2.1
 d) 1
(this one too)
thanx....

[Anjali]

Sandeep for 28 , it will be current output not potential. My bad !
It will be progressive , because the marginal tax rate is increasing - which means that the proportional change in taxes is greater than the proportional change in income. Still please reconfirm. Will get back on other questions shortly.

[Anjali]

And this is the actual 19th ques

Let 1 + 0.1 + (0.1)^2 + (0.1)^3 + (0.1)^4+ ………..  = x , then x close to,   a) 0.1   b) 1.1   c) 2.1   d) 1

Now try !

And are you sure about the ans of ques 28 and 30 of section C ?

[bhavya jain]

@ Anjali
Section C
Ans 6) b divisible by 11.
9) c     X       P(x)
          1        1/4*200
          -/4      3/4*200
E(x)=200/4+(-1/4)*3/4*200=12.5
20) d  k(1/3)+k(1/3)^2+k(1/3)^3+..........=1
         k(1/3 / 1-1/3)=1 solving for k, we get k=2.(use GP series infinite series sum)
26) a

 

[econ14]

@ anjali for q 28
28 Which of the following statements related to expectation of random variable are
true?
 a) E(1/x) = 1/E(x)
b) If X and Y are independent random variables then, E(x/y) = E(x)/E(y)
 c) Both are true
 d) All of the above are false
 

b is false for sure
so c is ruled out.
 but not sure with (a)

[The Villain]

Ans is d:Both are false

[bhavya jain]

@ Anjali
i think for section B
26) c
25) b is true lorenz curves can cross. So  i think it shud be c)
27) b pi(t)-pi(t-1)=-alpha(ut-un)

[econ14]

@ bhavya q27 can u plz explain ur answer....

[bhavya jain]

see blanchard ch8
the above eqn states that if ut>ut-1, then pi(t)<pi(t-1). thus changes in unemployment explain changes in inflationary expectations. i hope it's clear..

[Anjali]

Bhavya two Lorenz curves can never cross. Iam sure.

[bhavya jain]

i think lorenz curves can cross, but then in that case they cn't measure inequality.
see this http://www.borooah.com/Teaching/Post%20Graduate%20Microeconomics/Week%203.pdf

[econ14]

they can cross,,....

[Anjali]

Right Bhavya and Sandeep , they can cross. And income gap ratio is a measure of poverty and not inequality , so it should be the correct answer.
What about the Harris todaro question ? I think it should be none of the above , as migration takes place because of the availability of surplus labour in the agri sector.

[Anjali]

What about this one ?

What is the range of multiple correlation (R)?  

a) -1 ≤ R ≤ 1   b) 0≤ R ≤ 1   c) ½ ≤ R≤ 1   d) R > 0

[econ14]

@Anjali R>0

[Anjali]

Why Sandeep ? And what is multiple correlation ?

[econ14]

@anjali R is known as the coefficient of multiple correlation, the two variable analogue of r. U can refer to Gujarati ch 4 on multiple regression

[ishita1793]

its B 0<R<1

[econ14]

 R is positive always but not greater than 1.............
sorry my bad........