JNU ECOM 2011 QUES 91-100

[Arushi :))]

Question Nos. 91 and 92 are to be answered on the basis of the following information:
One of A, B, C and D has cheated in the examination with the help of another one of them.
Here are the statements that these individuals made to the investigator.
A: If B is guilty of some wrong-doing, then C must be innocent.
B: If A is innocent, then C must be guilty.
C: If B cheated in the examination, then D must have nothing to do with any wrong-doing.
D: I am innocent.
The statements of the person who has cheated and his accomplice are false and those of remaining two are true.
QUES 91
The person who cheated in the examination was
a) A
b) B
c) C
d) D
Answer-
QUES 92
The accomplice of the person who cheated in the examination was
a) A
b) B
c) C
d) D
Answer-
QUES 93
There are four candidates for an award- A, B, C and D
Only one of the four candidates has cleared both Tests I and II
Only one candidate has cleared both Tests I and III.
Only one candidate has cleared both Tests I and IV.
Only one candidate has cleared both Tests II and III.
Only one candidate has cleared both Tests II and IV.
Only one candidate has cleared both Tests III and IV.
Both A and B had cleared Test I.
Both C and D had cleared Test II.
Both B and C had cleared Test III.
D had cleared Test IV.
The award went to the candidate who had cleared more tests than any other candidate.
The award was given to:
a) A
b) B
c) C
d) D
Answer-b
QUES 94

Answer-a
QUES 95

Answer-c
QUES 96
In situation I: Price of good X is twice the price of good Y; and the consumer spends his entire income on buying 6 units of good X and 20 units of good Y.
In situation II: Consumer's income is double of his income in situation I,
                    price of good Y is twice the price of good Y in situation I.
                    price of good X is the same as in situation I.
The consumer wants to continue consuming 20 units of good Y in situation II. The maximum number of units of good X that he can purchase in situation II is:
a) 12
b) 14
c) 16
d) 6
Answer-a
QUES 97
Let units of good 1 be measured on the horizontal axis and units of good 2 on the vertical axis.
Let price of good 1 be p and price of good 2 be q.
The slope of the budget line is then given by:
a) p/q
b) -p/q
c) q/p
d) -q/p
Answer-b
Question Nos. 98-100 are to be answered on the basis of the following information:

QUES 98
On which day does S teach?
a) Tuesday
b) Thursday
c) Friday
d) None of the above
Answer-a
QUES 99
Which subject does T teach?
a) Economics
b) Sociology
c) Mathematics
d) Literature
Answer-b
QUES 100
On which day is Economics taught?
a) Monday
b) Tuesday
c) Wednesday
d) None of the above
Answer-a

[Arushi :))]

How to do 91,92?????

[Noel]

Statement given by A is inconsistent so it's safe to say that he's a culprit and if observed carefully only C directly implies in his antecedent that B has "cheated" whereas others assert of someone being guilty without mentioning the guilt..i may be wrong but there is no other way of knowing which is the accomplice or the cheater unless we consider C to be innocent which implies that D is innocent..hence B is the cheater and A is the accomplice

[The Villain]

Arushi pls help me with quest  96-97

[jack]

Given: P(x)=2P(y), 6unit of x and 20 unit of y. We put these values in the budget line,                                            so, Px.X+Py.Y=M,                2P(y).6+P(y).20=M, solve this equation, we get P(y)=M/32 , second statement tell us that  income is double from situation1, now income is 2M. P(y) is twice the P(y) in situation1, so new P'(y)=2.(M/32), we get =M/16 and P(x) is same, so P(x)=2.(M/32), we get=M/16, now put in the new budget line  (M/16).X+(M/16).20=2M, solve this equation, we get X'=12

[jack]

My answer is not matching for Q-94
I got profit 540
option-D, please help........

[Arushi :))]

Profit = 90*Q-20x
        = 90*4*x^(1/2)-20x
Now the firm will choose that x , that will maximize profit.
d(profit)/dx= 360/2*x^(1/2)-20=0
=> 180/x^(1/2)=20
=> x^(1/2)=9
=> x = 81
substitute it back into profit equation:
profit= 360*9-20*81
       =3240-1620= 1620

[The Villain]

Thanxx Jack

[Ridhika]

Noel, what do you mean by "statement A is inconsistent"?

[Anjali]

How to do 91 and 92 ? Earlier amit sir had posted a link for solutions to jnu logic questions in the lesson section of his website , however I could not locate it there anymore ! Any idea ?

[Anjali]

And how to proceed with 93 Arushi ?