Madurai Kamraj University (MKU) 2008 B.A Economics Quantitative Techniques,, - Question Paper

This beneath ques. paper is related to Quantitative Techniques of B.A Economics.

OCTOBER 2008

(6 pages)

7090/E22

QUANTITATIVE TECHNIQUES

(For those who joined in July 2003 and after)

Time : Three hours    Maximum : 100 marks

SECTION A (4 x 10 = 40 marks)

Answer any FOUR questions.

All questions carry equal marks.

1. Jsiprrggr)iib    ffLDOiTUfrQaanen rr<s

3* + 2y = 13 2x + 3y = 12

4x - 3y - 15 = 0 3x - 3y - 6 = 0

Solve the following pairs of simultaneous equations :

3x + 2 y = 13

(a)    

2x + 3y = 12

4*-3y-15 = 0 /{X     N:M

3* - 3y - 6 = 0     rsii,)W-

\ov

dy    

ii;y ffrriTULj<s0--gg& <Kwr(5lijliq-.

dx

(c9t) y = (x² - x - l) (x² + x + l) 3x

(t) = dy

Find for the following values of y dx

(a)    y = (x² - x - l) (x² f x t l)

³*

(b)    y =--

x - 5

'2 3 4 '1 3. A = 5 6 7 iDjiipih ZJ = 3 4 7 6 5 LDlusnuffi arrsTOTffi. r2 3 4" "1 2 A = 5 6 7 and B = 3 4 4 7 6 _ 5 6

find AB .

4. (yemSlaoeou LierrstfleflajijiijasnsTTff Gffif)s@Lb uebGsup (ipanfDeiT lurreo&j?

What are the various methods of collecting primary data?

5.    glsj)i_laD6U68)UJffi 6ror(5liS)i% :

u>0ul| :    5 6 7 8 9 10 11 12 13

<5ln6oGl&JwrCTT: 48 52 56 60 63 57 55 50 52

Find Median:

Value: 5 6 7 8 9 10 11 12 13 Frequency: 48 52 56 60 63 57 55 50 52

6.    Lparrggnub Sl6tiijr&jffi6rfl66l0i5gi arrQ)LD(T65T aSleuffiftes)iLjLb *5tST Q(ipCS)6UlL|Lb fT6Wr.

aiujgi (c*|j,wr6rfl6u) : 15 16 17 18 19 20 21 im6Rir6uiT<seTT OT6wrHsfln : 4 6 10 15 12 9 4

Find the Quartile deviation and its co-efficient from the following data :

Age (years): 15 16 17 18 19 20 21 No of students: 4 6 10 15 12 9 4

7.    @f61uSu(3u6wr OTamDrra) otqtcot? uiuarrffiCTT iDrbpLD

(5n{Durr6iT ujrTsnaj?

What is index number? What are the merits and demerits of index number?

8.    ffirr6Uihffrr(T QtTLmsuiflaoffuSlosT uebGeup uglaonGTT eBens>(g)&.

Explain the various components of time series.

Answer any THREE questions.

All questions carry equal marks.

9.    0Ulq- (?LBUU)-IT65r ffrnTl5l65)65T gjffSlutSu c$j4&65T

(tpailiu @iud)L|ffis5)err QSl6fT@<K.

State and explain the important-properties of linear Homogeneous functions.

10.    <$LprrSpm ffmTL|(gj l5uQu0 LDfi)g|Lb LSfflgj

ld$ul51065t <srr6wrs y = ije³ - 2x² + 4x + 1.

Find the maximum and minimum values of the

following function y = x³ - 2x² + 4x + 1.

o

CTSifleb A ¹ - > 65Bri5)iq-.

14 3

4 2 1

3 2 2

7090/E22

\ [P.T.O.]

12.    (ip(i6wf)LJL| tDjbgjih a*i(3fD(9uL) (Lpaon5s;ao6rT G&jpu@;S$ ewisuaerfldrr rBeifnanm sanmssnCTT uiSl@-

Distinguish between the census and sampling methods and compare their merits and demerits.

13.    Lpffi<KrT@)LD 4OT6lfl0Sl&JI7rEJ6tfl0Sl0/bg| fflJITfflfl, 4)6s>L.(06a) inrbgjjtb    iDlijiSlanaTs; 6wr$@a;.

iSlifl&j: 10-20 20-30 30-40 40-50 j5)l)Q6Ufe()01 ; 4 12 40 41 iSliflGq: 50-60 60-70 70-80 80-90 HSogdQglisrst : 27 13 9 4

Calculate the mean, median and mode from the following data :

Class :	10-20	20-30	30-40	40-50
Frequency:	4	12	40	41
Class :	50-60	60-70	70-80	80-90
Frequency:	27	13	9	4

14. <Glp QarTgiaffiuuLglerTerr L)6rrcrfl6filajijr6j(5eifl66l0pi amjsb iSlujfTffrrsiflisirr 2_i_0jr Qf&m_jTLjffi Q(ip6fil0!)65Tffi ffiawrgliSlis)-.

X: 10 20 30 40 50 60 70 80 90 100 Y: 2 4 8 10 12 14 20 28 40 50

Calculate Karl Pearsons coefficient of correlation from the following data :

X: 10 20 30 40 50 60 70 80 90 100 Y: 2 4 8 10 12 14 20 28 40 50

6    7090/E22

Attachment: madurai-kamraj-university--mku--2008-b-a-economics-21506-1.pdf

Earning:   Approval pending.