JNU ECOM 2011 QUES 79-90

[Arushi :))]

QUES 79
Suppose there are 3 alternatives x,y & z; and four individuals 1,2,3 & 4.
The individuals' rankings (orderings) of the three alternatives, Ri, i=1,....,4 are given by
R1 : (xy)z
R2 : yzx
R3 : z(xy)
R4 : (xy)z
(Notation: Alternatives inside the parentheses are indifferent to each other. If an alternative is written to the left of another alternative, then the former is preferred to the latter.)
Then the set of Pareto-optimal alternatives is:
a) {x.y}
b) {x.z}
c) {y.z}
d) None of the above
Answer-
QUES 80
With a positive externality
a) there is underconsumption in the free market
b) there is overconsumption in the free market
c) the government may tax to decrease production
d) society could be made better-off if less was produced
Answer-a
QUES 81

Answer-
QUES 82

Answer-d
QUES 83
The Cash Reserve Ratio refers to:
a) the liquid cash that banks have to maintain with the Reserve Bank of India as a certain %age of their demand & time deposits.
b) the cash that banks have to keep in their vaults in order to meet sudden demand from depositors in time of crisis
c) the cash that households have to keep in reserve to meet sudden increases in the price of essential goods & services.
d) the cash that the government keeps in reserve so as to be ready to meet unexpected contingencies
Answer-a
QUES 84
The probability that Mr. A will be booked for illegal parking in the central market is 1/3.
During the last 9 days , Mr. A has illegally parked everyday but has not been booked.
Today, on the 10th day, he again decides to park illegally .
The probability that he will be booked today is:
a) greater than 1/3
b) less than 1/3
c) equal to 1/3
d) There is not enough information to make the required inference
Answer-c
QUES 85

Answer-d
QUES 86

Answer-c
Question Nos. 87 and 88are to be answered on the basis of the following information:
The market for a good consists of 100 buyers and 50 sellers .
Each seller has the same supply function , which is given by
Supply = 0, if price <,= 10
          = p-10, if price> 10
Each buyer has the same demand function, which is given by
Demand = 0, if price >,= 20
          = 20-p, if price <20
QUES 87
Market demand function is given by
a) Market demand = 2000-100p
b) Market demand = 2000-100p, if p<20 ; and Market demand =0, if p>,=20
c) Market demand = 2000-100p, if p<2000 ; and Market demand =0, if p>,=2000
d) None of the above
Answer-b
QUES 88

Answer-c
QUES 89
Let A be the set { f(x) | 0<x<1 }. What does it mean to say that y is not an element of A?
a) f(y) is not an element of A
b) f(y) is not between 0 and 1
c) y is not between f(0) & f(1)
d) None of the above
<b>Answer-d
QUES 90
Which of the following statements is false?
a) The numbers 4,5,6,7 have the same standard deviation as the numbers 1231, 1232, 1233, 1234
b) The numbers 1,5,7,9 have a smaller standard deviation than the numbers 1231, 1235, 1237, 1239
c) The numbers 1,5,6,10 have a larger standard deviation than the numbers 1231, 1232, 1233, 1234
d) The numbers 1,2,9,10 have the same standard deviation as the numbers 1231, 1232, 1239, 1240
Answer-b

[Arushi :))]

help with 79 and 81

[jack]

A passing through points (8,0) and (0,6)
distance between the points
under roors (0-8)^2+(6-0)^2=10
chord cutting circle
so length of chord 2 under root r^2  
which is 2r greater than equal to 10
so r greater than equal to 5

area of circle pi r^2
then pi 25
therefore; A greater than equal to 25 pi
option b

[kangkan]

79- optin c(y,z) See X is pareto inefficient if you give y instead of x, r2 is better off and everyone else is same for Y and Z,it is not possible to give either X or Z without making some one worse off :)

[jack]

can someone tell me how to solve Q- 90

[aman]

q 79 will be C.

[jack]

please give me explaination

[Arushi :))]

@ jack
for 90,
its a property that if a same number is added to all the numbers , the standard deviation remains same.
The numbers 1,5,7,9 have a smaller standard deviation than the numbers 1231, 1235, 1237, 1239
So this statement is false,
because 1230 is added to 1,5,7 and 9.
So the standard deviation remains same.

[jack]

@ Arushi:
I know that if a same number is added to all the numbers , the standard deviation remains same.
but I don't understand how are you used this property in this question.

[Arushi :))]

It is asked which of the statements is false.
1,5,7 and 9.
If 1230 is added to these numbers,
we get 1231, 1235, 1237, 1239.
These two set of numbers will have same standard deviation.
And the statement says that 1,5,7,9 have smaller standard deviation than 1231, 1235, 1237, 1239.
So, this statement is false .
so b is the answer
clear?

[jack]

I got it
thank you so much

[Ridhika]

79) I understand that option c is pareto optimal; But i think optiona a is also pareto optimal. Because when (x,y) are chosen if we try to deviate to z instead of either x or y then R1 and R4 will be worse off, while R2 and 3 will be better of. So noone can be made better of, without making someone else worse off..