Saurastra University 2006 M.A Economics : – X (Quantitative & Research Methods) (New ) - Question Paper
SR-7723
M.A. Part-2 exam
April/May-2006
Economics : Paper – X (Quantitative & Research Methods) (New Course)
SR-7723 Seat No._
7 7 2 3 *
* S R
M. A. (Part-II) Examination April/May - 2006 Economics : Paper - X
(Quantitative & Research Methods) (New Course)
Time : 3 Hours]
[Total Marks : 100
(l) ma (3'MPlfil .
C\ ' ' so
(2) WHO. /l l Hl ?|R .
() t>ia>i l :
(1) [fldHHl
(2) fl Hl
(3) lHl
(4) (3'lHl.
(/) l'l HlLfil l'lfl filfil HlL H,4l :
1 2
A = |l, 2, 3, 4, 5, 6, 7, 8, 9,10C B = |5, 7,10C C = |5, 6, 7C
(1) B u C
(2) B n C
(3) B x C
(4) A [hli oiHl dL C fiL fl Hl
(5) Bfil (3'lHlL
(6) A - B
[Contd.
3.1
1 () [fim>idi 10
(/) [A'fii A>ifi [qd Aid >[b> S&teflHi 5
(i) [A'fii Ztdi A>ifi qp> S&teflHi HAL. 5
() '[d'fi l[Hiidi S'MPl ifll fildi HliflHtLdL Si<H <,AL 10 x + 4 y + 2z = 10
2
3 y + z = 10 4x + 2 y = 10
(/) T>iA>i[>d iflL 5
(1) HVAW' l(Hii
(2) [Wi l(Hii
(3) i< l(Hii
(4) '[@d l(Hii
(5) ?M. l[Hii.
(i) HPl [A'> D = 20 - 2p m dL p = 4 M, Hidl 5
H>i'Zidi ml.
C\
3.1
() Hll [q'> 8P + 12D = 40 fi HflA6i [q'> 5
2
*\ *\ *\ *\ r* *n*n
S = 4P - 6 L> dL &<dM WL fi [i<d m'L.
(Hdidl fld D = S )
(/) [A'> C = x3 - 6x2 + 20x . inid [A'> 5
*\ , *\ N N *\ N *\ *\
m'L fi dfiL i<HH LflL.
< \ dy
(1) y = t6x+7gx2+21
(2) y = 7x2 + 3
(3) y = -
x
(0 C = 16 + 0.8y fiL iiL i<HH (C fi y fi0< A'flil 4 fi iAi .)
3 () HMAdl [%[dfii HI'
(/) fil i' Hifedl ha <K>i, <k>v fi rn'i
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3.1 |
() iqfiifil T>iA>i Hqi.
3
5
5
5
5
(/) vqdhi C2fiii fi 'flV'fl [fiqifli Ctafiiifii A>i G&iflHi Hmi.
(i) i ki 5 fi 7 flKi ii . d<M i i ii qifil ifii ial & ?
() i 'alni 2 ii,i, 3 fi 5 i . d<M 2 i >E flld qiHi iq di /fi i iq dfil iqfii m'i.
4 () ./'fii A>i fi 'iifli Hqi. 8
(/) filfil Hifedl 'fll Hifi 'CM '[dfii i'ifl ./'ii m'i 1 2
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3.1 |
() nmi
4
10
(1) [qvdifl
(2) di [qfi
(3) flfli [qfi
(4) fiii
(5) [qflHi.
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(/) fil i' iT[rl [qdflHi <ia Hfiii m'i 10 | ||||||||||||||||||||
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[Contd. |
5 IH d /dl W/ HI 20
(1) (fiA A ? fiHdl '&. flAlfil '[dl ih<l AHlAl.
' ' \D C\ On
(2) Hlfedl h[hld hflAlfil <p.l <p.l &ld AHlAl.
(3) [fifllZtHl Hlfedl h[hld flAlfil '[d - Hmi.
(4) 'ffilA&fil ZlHll AlAl.
(5) lfe <mfil C2M =HH.Al.
Instructions: (1) Use of simple calculator is permitted.
(2) Figures in the right hand side indicate marks.
1 (a) Define following : 8
(1) Empty set
(2) Complement set
(3) Intersection set
(4) Sub-set.
(b) Obtain following sets with the help of given sets : 12 A = |1, 2, 3, 4, 5, 6, 7, 8, 9,10C B = |5, 7,10C C = |5, 6, 7C
(1) B u C
(4) If A is universal set, the complementary set of C
(5) Subsets of B
(a)
(b)
(c)
(a)
2
(b)
(c)
(a)
2
Properties of determinates. 10
Explain in detail the concept of 'Function' with 5
suitable illustration.
With the help of appropriate example explain the 5
concept of the limit of a function.
Solve the following equations by using inverse matrix :10 x + 4 y + 2z = 10 3 y + z = 10 4x + 2 y = 10
Define following : 5
(1) Symmetric matrix
(2) Diagonal matrix
(3) Identity matrix
(4) Row vector
(5) Null matrix
Let D = 20 - 2p be a demand function. Find 5
elasticity of demand when p = 4.
OR
Let be a demand function : 8P + 12D = 40 and supply 5 function : g = 4p - 6 then find equilibrium quality and price. (Equilibrium condition is D = S)
C = x3 - 6x2 + 20x is total cost function. Find the marginal cost function and draw its sketch.
(b)
5
Find dy ax
(c)
6
(1)
(2)
y
y = 7x2 + 3
[Contd.
(d) Draw rough sketch of C = 16 + 0.8y (C and y shows 4 consumption and income respectively)
3 (a) Explain the measures of central tendancy. 8
(b) Calculate Mean, Median and Mode for the data 12
given below :
|
Class: |
5 -10 |
10 -15 |
15 - 20 |
20 - 25 |
25 - 30 |
30 - 35 |
35 - 40 |
40 - 45 |
|
Frequency: |
5 |
15 |
20 |
25 |
25 |
20 |
15 |
5 |
OR
3 (a) Explain the definition of probability. 5
(b) Explain the concept of 'Mutually Exclusive Events' 5 and 'Independent Events' with illustration.
(c) A bag contains 5 white and 7 red balls. Find the 5 probability that a ball will be red when a ball is drawn.
(d) A box contains 2 black, 3 white and 5 red balls. If 5 two balls are drawn randomly out of it then find the probability that both are red.
4 (a) Explain the concept of correlation and its types. 8
(b) Find the coefficient of correlation with the help of 12 product moment method for the data given below :
| ||||||||||||||||||||||
|
OR |
4 (a) Explain :
10
(1) Range
(2) Quartile deviation
(3) Average deviation
(4) Coefficient of variance
(5) Variance.
[Contd.
(b) Find coefficient of variance (C.V.) for the frequency 10 distribution given below :
|
Class |
15 - 20 |
20 - 25 |
25 - 30 |
30 - 35 |
35 - 40 |
40 - 45 |
45 - 50 |
50 - 55 |
55 - 60 |
|
Frequency |
3 |
9 |
14 |
20 |
35 |
9 |
6 |
2 |
2 |
5 Attempt any two of the following : 20
(1) What is sampling ? Describe briefly the different techniques of sampling.
(2) Describe the different sources of collecting data.
(3) Observation is a method of collecting data. - Explain.
(4) State the characteristics of questionnaire.
(5) Explain the components of economic model.
SR-7723] 7
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Attachment: |
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