Veer Narmad South Gujarat University 2010 B.A Economics : - 4 ( a ) T.Y. - Question Paper
RR-0262 Third Year B. A. Examination March / April - 2010 Economics : Paper - IV (A)
(Quantitative Methods)
Time : 3 Hours] 00
[Total Marks : 70
Seat No.:
M CnsLLnlcj.L{l [qoicu u? snqw <h>h41.
Fillup strictly the details of signs on your answer book.
Name of the Examination :
T. Y. B. A.
Name of the Subject:
Economics - 4 (A)
-Section No. (1,2,.....): Nil
Student's Signature
-Subject Code No.:
(3) %UU (3HH>L M ?lirll.
M STHSfl. Hldl M& UMdl %|R d.
*1 dlA'tl U*dldl 5>l5ld& &fed WUH ?HlUl : (*0 [iHdl faMd-ft ?HlUl.
IX
(0 W& 3U =*HLHl :
2x+3y\ / 3_y2z\ ( 2z2x
(3) 1, 3 ?Hd 9dl oygOrR ?LlH\.
W ?LlH\ : 4x2 -8 = 0.
(m) JWlRHKdl HLHl WWl.
(?) =01 V=0-3 r = l
(o) Hldl Sll % ?
= 18-3 + D2 =12 + Pl-2P1
<Hd H.'&R'l Hia HrtC-iLnl &Hd Hd 5>llHl.
51 = -2-4Pl
52 =P2
(<H) HRl <1 HLL USR &. WR &Hd
2 AH & cHR HLL 15 HH &. WR q.-{l BrHd qd 4 *UH
& cHR <Wl HLL H&d 5 HH *UH &. HLL Mh 5>llHl.
U) = {3, 4, 5}, 5 = {3, 4, 5, 6} Hd C = {l, 2, 3} A.H dl
ilOid &$L I An(BuC) = (AnB)u(AnC).
(h) &Hd ?LlH\ :
(<l) | (3x3 - x + lj dx
(?) | hx2 +2\dx .
(H) iHid faH MC = 5 + 4x-2x2 & 30 Ah rHR [c&H s>lWl.
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3 (*l) (H)
3 (*l)
On)
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M.ot: |
0-10 |
10-20 |
20-30 |
30-40 |
40-50 |
|
*U[tI : |
8 |
12 |
20 |
6 |
4 |
H*l<U
UHlfeld [cRSHdl *\A UHlfeld [toSHHl oygl-fclH 6
-flaWl Hlfedl Hia OHHd WLHldi ?LlH\ : 6
|
X |
15 |
16 |
17 |
18 |
19 |
20 |
21 |
|
18 |
19 |
20 |
22 |
24 |
26 |
28 |
X (*l) k4Rl %LH*M.cCl. -flaWl Hlfecft HIS hl4. [tl*M. *lO
&d*(l 5>llHl :
|
X |
51 |
63 |
73 |
46 |
58 |
60 |
50 |
36 |
60 |
|
Y |
41 |
52 |
74 |
40 |
50 |
66 |
47 |
30 |
35 |
(H) &Hd ?LlH\ : X
(*l) /?{0.8 < z < 1.2}
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cfsWL. HLHC-i Hlfedl H(l <HRW ?Hd UlM SjaUtfHlS Hiql :
|
=HIHR <V{ |
*U<ft ctf | |||
|
'Sfail |
<HW |
<HW | ||
|
A |
25 |
8 |
28 |
10 |
|
B |
50 |
12 |
60 |
15 |
|
C |
30 |
10 |
50 |
12 |
|
4$l (3.Hi) |
12000 |
15000 |
-11000 |
18000 |
20000 |
|
0.5 |
0.4 |
0.1 |
0.2 |
0.3 |
M (*l) -flaWl Hlfecft HVtt [cReK ?Hd ?LlH\ :
|
X |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
|
/ |
2 |
7 |
11 |
15 |
10 |
4 |
1 |
(H) % n = 10, Ex = 130, y = 220, Ex2 = 2288 Xx,y = 3467 Ah dl x OtHdHH ?Hd y ?Hd x dl
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Instructions : (1) As per the Instruction No. 1 of Page No. 1.
(2) Question 1 is compulsory.
(3) Simple calculator may be used.
(4) Figures to the right indicate full marks of the question.
1 Answer the following questions showing necessary 14
calculations :
(I) Give the definition of derivative of a function.
(2) Simplify :
2x+3yj l3y2z j2z2x
Find the Geometric Mean of 1, 3 and 9.
Solve : 4x2 -8 = 0.
State the measures of dispersion.
(3)
(4)
(5)
(6) (7)
(a)
If b
0.1 and b =0.3, r = l-
yx
xy
What is the slope of a straight line ?
The demand and supply functions in the two related commodity markets are :
51 = -2-4Pl
52 =P2
D1 = n-3P1+P2
D2=\2 + Pl
-21\
Find the equilibrium price and quantity in the two markets.
Suppose the market demand function is linear. When the price of the commodity is 2, its demand is 15, when price increases to 4, demand decreases to 5. Find the demand function.
(b)
(c)
A = {3, 4, 5}, B = {3, 4, 5, 6} and C = {l, 2,3} prove that An(BuC) = (AnB)u(AnC).
OR
(a) Evaluate
| 3x3 - x + lj dx
(1)
(2)
4
| (3x2 +2j dx .
(b) The marginal cost function is MC = 5 + 4x - 2x2 .
4
6
Find the total cost function when the fixed cost is 30.
(c) Explain :
(1) Transpose of a matrix
(2) Null matrix
| ||||||||||||||||||||||||
|
then obtain 3A-2B. |
(a) What is mean ? State the merits and demerits of mean.
(b) Calculate the mean and median from the data given below :
9
|
Class : |
0-10 |
10-20 |
20-30 |
30-40 |
40-50 |
|
Frequency: |
8 |
12 |
20 |
6 |
4 |
OR
(a) Explain the meaning of standard deviation. State the 6 merits and demerits of standard deviation.
(b) Determine the lines of regression from the following data :
8
|
X |
15 |
16 |
17 |
18 |
19 |
20 |
21 |
|
y |
18 |
19 |
20 |
22 |
24 |
26 |
28 |
(a) Explain the types of correlation. Calculate Karl Pearson's correlation coefficient from the following data :
10
|
X |
51 |
63 |
73 |
46 |
58 |
60 |
50 |
36 |
60 |
|
Y |
41 |
52 |
74 |
40 |
50 |
66 |
47 |
30 |
35 |
(b) Evaluate :
(2) p{\.2<z<2]
where z is the standard normal variable.
OR
(a) What is an index number ? Describe the difficulties encountered in construction of an index number. Obtain Laspayer's and Paasche's index number from the following data :
10
|
Item |
Base year |
Current year | ||
|
Quantity |
Price |
Quantity |
Price | |
|
A |
25 |
8 |
28 |
10 |
|
B |
50 |
12 |
60 |
15 |
|
C |
30 |
10 |
50 |
12 |
the following data :
|
Profit (in Rs.) |
12000 |
15000 |
-11000 |
18000 |
20000 |
|
Probability |
0.5 |
0.4 |
0.1 |
0.2 |
0.3 |
5 (a) Calculate the mean deviation and coefficient of 7
mean deviation from the following data :
|
X |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
|
/ |
2 |
7 |
11 |
15 |
10 |
4 |
1 |
(b) If n = 10, Ex = 130, 'Ey = 220, Ex2 = 2288 and Ex;y = 3467, 7
determine the regression of y on x and the correlation coefficient between y and x.
5 Write short notes : (any two) 14
(1) Characteristics of an ideal average
(2) Rules of derivatives
(3) Skewness
(4) Merits and demerits of mean deviation
(5) Properties of normal distribution.
RR-0262] 7 [ 600 ]
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Attachment: |
| Earning: Approval pending. |
