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1 Reg. No. :... Code No. : 1351 Sub. Code : MEC 41 B.A. DEGREE EXAMINATION, NOVEMBER 014. Fourth Semester Economics Main QUANTITATIVE TECHNIQUES II (For those who joined in Jul 005 and earlier) Time : Three hours Maimum : 100 marks PART A (10 1 = 10 marks) Answer ALL questions. Choose the correct answer : d 1. log a GßÓõÀ BÚ d (A) 1 a (B) (C) a (D) 0 1 If log a d, is d (a) 1 a (b) (c) a (d) 0 1

2 . f Q TR GßÓõÀ, MR BÚ (A) (B) (C) TR Q Q TR dtr dq (D) ØTÔ HªÀø» If TR f Q, MR is (a) TR Q (b) TR Q (c) dtr dq (d) None of the above 3. Q L k GßÓõÀ AP L BÚ (A) (C) Lk (B) Lk Lk (D) L k If Q L k, AP L is (a) (c) Lk (b) Lk Lk (d) L k Page Code No. : 1351

3 4. ~Pº Áõº E õú (A) AvP m\ õú Âø» + Esø õú Âø» (B) AvP m\ õúâø» Esø õú Âø» (C) (D) Esø õú Âø» AvP m\ õú Âø» ØTÔ AøÚz Consumer surplus is (a) (b) (c) Potential price + Actual price Potential price Actual price Actual price potential price (d) All of the above 5. Cμsk õôpðuqøh EÒÍ KmkÓÂøÚ AÔ ß k Áøμ h øó (A) møh ÂÍUP h (B) Ámh ÂÍUP h (C) (D) ]uóà ÂÍUP h \μ ÂÍUP h The graphical method of studing the correlation between two variables is (a) Bar diagram (b) Pie diagram (c) Scatter diagram (d) Square diagram Page 3 Code No. : 1351

4 6. \õº u ß öuõhº õusa \ ß õhú (A) r (C) (B) r (D) The regression equation of on is (a) r (b) r (c) 7. Põ»z v \õuøú õú (A) P P 1 (B) P Q (d) (C) P Q 1 (D) P Q Time reversal test is (a) P 01 P10 1 (b) P 01 Q01 1 (c) P 01 Q10 1 (d) P 01 Q Á h P \μõ\ Põn ß k `zvμ õú (A) (B) (C) (D) a b c b c d, 3 3, a b c, b c d, 3 3,, a b c b c d ØTÔ HªÀø» Page 4 Code No. : 1351

5 The formula for calculating 3-earl moving average is (a) (b) (c) a b c b c d, 3 3, a b c, b c d, 3 3, a b c b c d, (d) None of them 9. A ØÖ B Gß øápò JßøÓö õßö »UQk P A B BÚ {PÌa]PÒ GßÓõÀ, (A) PA PB PA B (B) P( A) P( B) (C) PA PB PA B (D) PA PB If the two events A and B are mutuall eclusive, P A B is (a) PA PB PA B (b) P( A) P( B) (c) PA PB PA B (d) PA PB Page 5 Code No. : 1351

6 10. J {PÌa] {PÇ C»õ GßÓõÀ A u {PÌa]UPõÚ {PÌzuPÁõÚ (A) 1 (B) 1 (C) 0 (D) ØTÔ HªÀø» If the event cannot take place, the probabilit will be (a) 1 (b) 1 (c) 0 (d) None of the above PART B (5 6 = 30 marks) Answer ALL questions, choosing either (a) or (b). Answer should not eceed 50 words. 11. (A) 10 5 d e GßÓõÀ IU PõsP. 1 d (B) If e d, find. d P 5 3q Gß uøáa\õº GßÓõÀ, TR, AR ØÖ MR \õº PøÍz wº õûupä. If P 5 3q is the demand function, determine the TR, AR and MR functions. Page 6 Code No. : 1351

7 1. (A) MC Gß CÖv{ø» ö\»äa \õº {ø» õú ö\»ä Rs. 150 GßÓõÀ ö õzu ö\»âøúu PõsP. MC is the marginal cost function. Find the total cost function if the fied cost is Rs (B) z 10 GßÓõÀ z z, z BQ ÁØøÓU PõsP. ØÖ If z 10, find z z, and z. 13. (A) ßÁ ÂÁμ[PÐUS EhÛuº JmkÓÂøÚU PnUQkP. : : Calculate the coefficient of concurrent deviations for the following data. : : Page 7 Code No. : 1351

8 (B) JmkÓÄ ØÖ öuõhº õus BQ ÁØøÓ ÁÖ kzp. Distinguish between correlation and regression. 14. (A) SÔ möhsøn Aø và EÒÍ μa\øúpò õøá? What are the problems involved in the construction of an inde numbers? (B) ßÁ ÂÁμ[PÐUS uøh À»õ À øp ÚõÀ Áøμ² øó À }shpõ» õusu PõmiøÚ ö õ zp. Á h : Âø»: Fit a trend live to the following data b the free hand method Year: Price: (A) õ \õß μá¼ß ßø PÎÀ GøÁ Ý õßqøúa _miupõmkp. Point out an four uses of Poisson distribution. Page 8 Code No. : 1351

9 (B) D μáßø» ß kzáuøpõú { uøúpøíu TÖP. State the conditions for appling binomial distribution. PART C (5 1 = 60 marks) Answer ALL questions, choosing either (a) or (b). Answer should not eceed 600 words. 16. (A) 3 C Gß ö õzu ö\»äa \õº õs. SøÓ u m\ \μ\ aö\»âà, AC = MC GÚU Põs UPÄ. 3 C is the total cost function. Show that at minimum average cost, AC = MC. (B) J {ÖÁÚzvß uøá ØÖ ö õzuaö\»äa \õº PÒ øó P 100 ØÖ TC BS Ea\»õ zøuz wº õûupä. The demand and total cost functions of a firm are P 100 and TC respectivel. Determine the maimum profit. Page 9 Code No. : 1351

10 17. (A) ö õ ÍõuõμzvÀ Sv ÁøP±h¼ß ß õkpøí ÂÁõvUPÄ. Discuss the uses of partial derivatives in Economics. (B) uøá ØÖ AÎ \õº PÒ øó p d 0 4 q ØÖ P s 8 q BS. ~Pº Áõº E øúu PõsP. The demand and suppl functions are p d 0 4 q and P s 8 q respectivel. Find the producer s surplus. 18. (A) ßÁ ÂÁμ[PÐUS ì º Ûß v zμu JmkÓÄU öpêâøúu PnUQkP. X: Y: Calculate spearman s coefficient at ranla correlation for the following data X: Y: (<B) öuõhº õus Szuõ Âß ßPøÍU _miupõmkp. Point out the uses of regression analsis. Page 10 Code No. : 1351

11 19. (A) ßÁ ÂÁμ[PÐUS Âø»U SÔ±m Gsøn (i) õm å ØÖ (ii) L åº øópøí ß kzv PnUQkP ö õ mpò P0 Q0 P1 Q1 A B C D Compute price inde number for the following data using (i) Paasche s method and (ii) Fisher s method Commodit P0 Q0 P1 Q1 A B C D (B) Põ»z öuõhº Á ø\ ß SvPøÍ ÂÍUSP. Eplain the components of time series. Page 11 Code No. : 1351

12 0. (A) Cμsk opðupõú º Uz uºâà J ouý AÁÝøh øúâ² P» öpõshõºpò. PnÂß uºáøháuøpõú {PÌuPÄ 1/4 ØÖ AÁÝøh øúâ uºáøháuøpõú {PÌuPÄ 1/5 BS. AÁºPÎÀ õμõá J Áº mk uºáøháuøpõú {PÌuPÄ GÆÁÍÄ? A man and his wife appeared for an interview for two posts. The probabilit of husband s selection is 1/4 and that of the wife s selection is 1/5 what is the probabilit that one of them will be selected? (B) C À μá¼ß s PøÍU SÔ kp. Specif the properties of normal distribution. Page 1 Code No. : 1351