JNU ECOM 2011 QUES 67-78

[Arushi :))]

QUES 67
If log10(x-y) = 3 and log10(x+y) = 4, ( 10 is the base of the logarithm !!), then x=
a) 3.5
b) 11000
c) 5500
d) 103.5
Answer-c
QUES 68
The real solution(s) to the equation |x-1|=2x+1 is/are:
a)-2
b) -2,0
c) -1
d) 0
Answer-d
QUES 69
Four dice are thrown. What is the probability that the same number appears on each of them?
a) 1/36
b) 1/18
c) 1/216
d) None of the above
Answer-c
QUES 70

Answer-a
QUES 71
The mean of a data set is equal to 10 and its standard deviation is equal to 1. If we add 5 to each data value, then the mean and standard deviation become:
a)mean= 15, standard deviation=6
b)mean= 10, standard deviation=6
c)mean= 15, standard deviation=1
d)mean= 10, standard deviation=1
Answer-c
QUES 72
The sum
summation k from 1 to 100 (3+k) =
a)5053
b)5050
c)300
d)5350
Answer-d
QUES 73
How many 4-digit numbers can be formed, if no digit is used more than once?
a)5040
b)3024
c)4536
d)None of the above
Answer-c
QUES 74

Answer-b
Question nos. 75-78 are to be answered on the basis of following:
The following table shows the marginal cost of producing nth ( n=1,2,...10) unit of output by a competitive firm:

It is also given that the total cost of producing 3 units of output is 7.
QUES 75
The total cost of producing 5 units of output ( correct up to two decimal places ) is:
a) 15.00
b) 9.30
c) 12.30
d) None of the above
Answer-c
QUES 76
The average variable cost of producing 7 units of output ( correct up to two decimal places) is:
a) 2.60
b) 0.71
c) 3.03
d) None of the above
Answer-a
QUES 77
The average cost of producing 9 units of output ( correct up to two decimal places) is:
a) 3.66
b) 3.99
c) 0.91
d) None of the above
Answer-b
QUES 78
The profit-maximizing number of units of output for the firm, if the market price of the good is 6, is:
a)4
b)7
c)10
d)None of the above
Answer-b

[Ridhika]

Arushi,

Please explain why you are not considering the colution x=-2? .. I thought the answer would be (b) -2 and 0..

Thanks a lot!

[Arushi :))]

Arey ,
If x = -2,
LHS = |-2-1| = 3
RHS = 2(-2)+1 = -3
So, -2 cant be the solution.
At x = 0, RHS = LHS = 1.

[Ridhika]

Gotcha ..! Thanks :)

----- Reply message -----
From: "Arushi :) [via Discussion forum]" <ml-node+[hidden email]>
To: "Ridhika" <[hidden email]>
Subject: JNU ECOM 2011 QUES 67-78
Date: Wed, Mar 26, 2014 7:25 PM

Arey ,
If x = -2,
LHS = |-2-1| = 3
RHS = 2(-2)+1 = -3
So, -2 cant be the solution.
At x = 0, RHS = LHS = 1.

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[Ashima]

Hey Arushi, Could you please tell me how'd you solved 75 to 78?
My answers are not matching except for the 76th one.

Isn't the TC colum will look like:

Y  TC
1   1.0
2   2.3
3   4.0
4   6.3
5   9.3
6   13.2
7   18.2
8   24.7
9   32.9
10  42.9

Someone please help!

[Arushi :))]

Its given that total cost of producing 3 units is 7
So given the MCs,
OUTPUT , TOTAL COST, MARGINAL COST
0,3,0
1,4,1
2,5.3,1.3
3,7,1.7
4,9.3,2.3
5,12.30,3
6,16.2,3.9
7,21.2,5
8,27.7,6.5
9,35.9,8.2
10,45.9,10

75- total cost of producing 5 units is 12.30
76-for 7 units of output , total cost = 21.2
    for 0 units , total cost = 3 = fixed cost
    for 7 units variable cost = 21.2- 3= 18.2 => AVC = 18.2/7= 2.6
77- for 9 units , total cost = 35.9 and average cost would be 35.9/9= 3.99
78- If P = 6,
then at MC = 5 ,
firm will produce 7 units .

[Ashima]

Thank you so much. Can you tell me from where should I practice macro questions? Which book?

[jack]

can someone answer me question Q72

[Ashima]

The sum
summation k from 1 to 100 (3+k) =
a)5053
b)5050
c)300
d)5350

This will be (3+1)+ (3+2)+ .... (3+100)
               = 3x 100 + (1+2+3+...100)
= 300 plus sum of first 100 natural numbers

(sum of first n natural numbers = n(n+1)/2)

= 300+5050
= 5350
which is d :)

[jack]

Thank you so much.

[SoniaKapoor]

My answer is not matching for ques 70..pls help

[jack]

Let Y=-e^x-2
y+2=-e^x
-(y+2)=e^x
take log both side
log(-y-2)=x
y can take value (-infinity,-2)
so option A

[Arushi :))]

70

[SoniaKapoor]

Thanxx Arushi...

[suvidya patel]

plz do qno 74

[Homer Simpson]

I am getting 74(a). Please explain why its b? :)

[jack]

Q.74
The number formed will be divisible by 5 if the number formed by the last digit on extremely right (i,e.unit place) is divisible by 5. such no. are
5 and 0
so the no. of arrangements
9*8*7*2=1008
but we have to reduce those case where the 0 on the extremely left because if 0 is on extremely left then we get only 3 digit no.
those cases are
8*7=56
so total no. of arrangement
1008-56=952

[Homer Simpson]

Oh right, got it now! thanks!

[suvidya patel]

thanku

[tkt]

pls explain quest. 69 ... shouldnt it be (1/6)^4 that is 1/1296 which means option d, because we are talking four dice?