Loyola College Question Paper 2004

Loyola College M.Sc. Zoology Nov 2003 Genetics Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI– 600 034

M.Sc. DEGREE EXAMINATION  –     ZOOLOGY

SECOND  SEMESTER  – NOVEMBER 2003

ZO 2801/Z  823  GENETICS                               

28.10.2003                                                                                        Max: 100 Marks

1.00 – 4.00

 

SECTION – A         

Answer ALL the questions                                                       (10 ´ 2 = 20 Marks)

  1. Define positive Heterosis.
  2. What are Gynandromorphs?
  3. List out the types of RNA.
  4. What is DNA splicing?
  5. Define Nucleoid.
  6. What is a competent cell?
  7. Define gene pool.
  8. Explain Recombination.
  9. Give the names of enzymes involved in DNA replication.
  10. Comment on allele.

SECTION – B

Answer any four of the following                                        (4 ´ 10 = 40 Marks)

  1. Give an account of DNA repair mechanism.
  2. Give an account of interferon.
  3. Explain the concept of Multiple and Polygenic inheritance.
  4. Give an account on chromosomal aberrations.
  5. Tabulate the genetic codes and mention the significance.
  6. Explain the role of carcinogens and teratogens with suitable examples.

 

Section – c

Answer any TWO of the following                                          (2 ´ 20 = 40 Marks)

  1. Define transformation and explain the process of transformation and uptake of DNA.
  2. Give an account of prenatal diagnosis.
  3. Define Hardy-Weinberg law.  Add notes on the equilibrium frequencies for a

single locus.

 

  1. Describe genetic and social implications of artificial insemination.

 

 

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Loyola College M.Sc. Zoology Nov 2003 Advanced Developmental Biology Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI 600 034

M.Sc. DEGREE EXAMINATION –  ZOOLOGY

SECOND SEMESTER-APRIL 2004

ZO 2807/ Z  829  ENVIRONMENTAL TOXICOLOGY

19.04.2004

1.00 –4.00                                                                                         Max. 100 Marks

 

 

PART – A                              (10 ´ 2= 20 Marks)

Answer ALL the questions in two or three sentences.

 

  1. What is physical poison?
  2. What is response relationship?
  3. Comment on ‘sludge’.
  4. Differentiate bioremediation and biodegradation.
  5. What is fluecolation?
  6. Differentiate Toxicant and Toxin.
  7. Differentiate acute and chronic toxicity.
  8. Define ‘Oil sleek’.
  9. Differentiate LD50 and LC50.
  10. What is ozone hole and how it is formed?

 

PART – B                                                 (4 ´ 10 = 40 Marks)

Answer any FOUR of the following.

  1. Toxicology is a multidisciplinary subject –
  2. Discuss light and its role in vision of Man.
  3. Give an account of soil pollution with a note on prevention.
  4. Give an account of sources and impact of carbonmonoxide on man.
  5. Give an account of synthetic polymers and their impact on animals.
  6. Give an account of airpollutants and its toxicolgical impact on plants and animals.

 

    PART – C                                                 (2 ´ 20 = 40 Marks)

Answer any TWO of the following.

 

  1. Write an essay on the classification of pesticides and their impact on fauna and flora.
  2. Analyse the impact of heavy metals toxicants on reproduction of animals and add a note on its control methods.
  3. Discuss indetail the role of domestic waste as toxicants and treatment of waste water.
  4. a) Discuss indetail the role temperature in toxicity.
  5. b) impact of industrial waste.

 

 

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Loyola College M.Sc. Zoology April 2004 Environmental Toxicology Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI 600 034

M.Sc. DEGREE EXAMINATION –  ZOOLOGY

SECOND SEMESTER-APRIL 2004

ZO 2807/ Z  829  ENVIRONMENTAL TOXICOLOGY

19.04.2004

1.00 –4.00                                                                                         Max. 100 Marks

 

 

PART – A                              (10 ´ 2= 20 Marks)

Answer ALL the questions in two or three sentences.

 

  1. What is physical poison?
  2. What is response relationship?
  3. Comment on ‘sludge’.
  4. Differentiate bioremediation and biodegradation.
  5. What is fluecolation?
  6. Differentiate Toxicant and Toxin.
  7. Differentiate acute and chronic toxicity.
  8. Define ‘Oil sleek’.
  9. Differentiate LD50 and LC50.
  10. What is ozone hole and how it is formed?

 

PART – B                                                 (4 ´ 10 = 40 Marks)

Answer any FOUR of the following.

  1. Toxicology is a multidisciplinary subject –
  2. Discuss light and its role in vision of Man.
  3. Give an account of soil pollution with a note on prevention.
  4. Give an account of sources and impact of carbonmonoxide on man.
  5. Give an account of synthetic polymers and their impact on animals.
  6. Give an account of airpollutants and its toxicolgical impact on plants and animals.

 

    PART – C                                                 (2 ´ 20 = 40 Marks)

Answer any TWO of the following.

 

  1. Write an essay on the classification of pesticides and their impact on fauna and flora.
  2. Analyse the impact of heavy metals toxicants on reproduction of animals and add a note on its control methods.
  3. Discuss indetail the role of domestic waste as toxicants and treatment of waste water.
  4. a) Discuss indetail the role temperature in toxicity.
  5. b) impact of industrial waste.

 

 

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Loyola College M.Sc. Statistics April 2004 Reliability Theory Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI –600 034

M.Sc., DEGREE EXAMINATION – STATISTICS

FOURTH SEMESTER – APRIL 2004

ST 4950 – RELIABILITY THEORY

06.04.2004                                                                                                           Max:100 marks

1.00 – 4.00

 

SECTION – A

 

Answer ALL questions                                                                                (10 ´ 2 = 20 marks)

 

  1. Show that a parallel system is coherent.
  2. Derive MTBF when the system failure time follows Weibull distribution.
  3. Show that independent random variables are associated.
  4. What is the conditional probability of a unit of age t to fail during the interval (t, t+x)?
  5. Define a) System Reliability b) point availability
  6. With usual notation show that MTBF = R* (0), where R* (0) is the Laplace Transform of R (t) at s = 0.
  7. Show that a device with exponential failure time, has a constant failure rate.
  8. Obtain the Reliability of a (k,n) system with independent and identically distributed failure times.
  9. State lack of memory property.
  10. Define a minimal path set and illustrate with an example.

 

SECTION – B

 

Answer any FIVE questions                                                                        (5 ´ 8 = 40 marks)

 

  1. Define hazard rate and express the system reliability in terms of hazard rate.

 

  1. For a parallel system of order 2 with constant failure rates l1 and l2 for the components, show that MTBF = .

 

  1. Let the minimal path sets of f be P1, P2, …, Pp and the minimal cut sets be K1, K2,…, Kk­. Show that f (.

 

  1. Show that the minimal path sets for f are the minimal cut sets of fD, where fD represents the dual of f.

 

  1. Explain the relative importance of the components. For a system of order 3 with structure function f (x1 x2 x3) = x1 (x2 x3), compute the relative importance of the components.

 

 

  1. Obtain the reliability of (i) parallel system and (ii) series system.

 

  1. If T1, T2,…, Tn are associated random variables not necessarily binary, show that

P ( T1 £ t1, T2 £ t2, …, Tn £ tn­) ≥

  1. Examine whether the Gamma distribution is IFR.

 

SECTION – C

 

Answer any TWO questions                                                                        (2 ´ 20 = 40 marks)

 

  1. Derive the MTBF of a standby system of order n with parallel repair and obtain the same when n = 3 and r = 2.

 

  1. a) Let h (be the system reliability of a coherent structure.  Show that h ( is strictly

increasing in each pi whenever 0 < pi < 1 and i = 1,2,3,…,n.

 

  1. b) Let h be the reliability function of a coherent system. Show that

h (    ‘) ≥ h ()     h () ” 0 £ , ‘ £ 1.

Also show that equality holds  when the system is parallel.

 

  1. a) If two sets of associated random variables are independent, show that their union is a

set of associated random variables.

 

  1. b) Let the probability density function of X exist. Show that F is DFR if r (t) is

decreasing.

 

  1. a) State and establish a characterization of exponential distribution based on lack of

memory property.

 

  1. b) State and prove IFRA closure theorem.

 

 

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Loyola College M.Sc. Statistics April 2004 Probability Theory Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI –600 034

M.Sc., DEGREE EXAMINATION – STATISTICS

SECOND SEMESTER – APRIL 2004

ST 2800/S 815 – PROBABILITY THEORY

02.04.2004                                                                                                           Max:100 marks

1.00 – 4.00

 

SECTION – A

 

Answer ALL questions                                                                                (10 ´ 2 = 20 marks)

  1. Show that if = 1, n = 1, 2, 3, …
  2. Define a random variable and its probability distribution.
  3. Show that the probability distribution of a random variable is determined by its distribution function.
  4. Let F (x) = P (Prove that F (.) is continuous to the right.
  5. If X is a random variable with continuous distribution function F, obtain the probability distribution of F (X).
  6. If X is a random variable with P [examine whether E (X) exists.
  7. State Glivenko – Cantelli theorem.
  8. State Kolmogorov’s strong law of large number (SLLN).
  9. If f(t) is the characteristic function of a random variable, examine if f(2t). f(t/2) is a haracteristic function.
  10. Distinguish between the problem of law of large numbers and the central limit problem.

 

SECTION – B

 

Answer any FIVE questions                                                                        (5 ´ 8 = 40 marks)

 

  1. The distribution function F of a random variable X is

           

0             if       x < -1

F (x) =          if      -1  £   x  < 0

if      0  £   x  < 1

1           if       1    £  x

Find Var (X)

 

  1. If X is a non-negative random variable, show that E(X) < ¥ implies that
  2. P [ X > n] ® 0 as n ® ¥.  Verify this result given that

f(x) = .

  1. State and prove Minkowski’s inequality.
  2. In the usual notation, prove that

.

  1. Define convergence in quadratic mean and convergence in probability. Show that the former implies the latter.
  2. Establish the following:
  3. If Xn ® X with probability one, show that Xn ® X in probability.
  4. Show that Xn ® X almost surely iff for every > 0,  is zero.
  5. {Xn} is a sequence of independent random variables with common distribution function

 

 

0      if     x <  1

F(x) =

1-  if   1 £  x

Define Yn = min (X1, X2 , … , Xn) .  Show that Yn  converges almost surely to 1.

  1. State and prove Kolmogorov zero – one law.

 

SECTION – C

 

Answer any TWO questions                                                                        (2 ´ 20 = 40 marks)

 

  1. a) Let F be the range of X. If  and B FC imply that PX (B) = 0,  Show that P can

be uniquely defined on      (X), the s – field generated by X by the relation

PX (B) = P {X Î B}.

  1. b) Show that the random variable X is absolutely continuous, if its characteristic function f

is absolutely integrable over (- ¥,  ¥ ).  Find the density of X in terms of f.

  1. a) State and prove Borel – Zero one law.
  2. b) If {Xn, n ≥ 1} is a sequence of independent and identically distributed random

variables with common frequency function e-x, x ≥ 0, prove that

.

  1. a) State and prove Levy continuity theorem for a sequence of characteristic functions.
  2. b) Use Levy continuity theorem to verify whether the independent sequence {Xn}

converges in distribution to a random variable, where Xn for each n, is uniformly

distributed over (-n, n).

  1. a) Let {Xn} be a sequence of independent random variables with common frequency

function f(x) =, x ≥ 1.  Show that  does not coverage to zero with probability

one.

  1. b) If Xn and Yn are independent for each n, if Xn ® X, Yn ® Y, both in distribution, prove

that ® (X2 + Y2) in distribution.

  1. c) Using central limit theorem for suitable exponential random variables, prove that

.

 

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Loyola College M.Sc. Statistics April 2004 Mathematical Statistics – II Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI –600 034

M.Sc., DEGREE EXAMINATION – STATISTICS

  FOURTH SEMESTER – APRIL 2004

ST 4953 – MATHEMATICAL STATISTICS – II

12.04.2004                                                                                                           Max:100 marks

1.00 – 4.00

SECTION – A

 

Answer ALL questions                                                                                (10 ´ 2 = 20 marks)

 

  1. Define a consistent estimator and give an example.
  2. Show that unbiased estimators do not always exist.
  3. Let X1, X2, …, Xn be iid b (1,p) random variables.

Show that T =  is sufficient for p.

  1. State Lehmann – Scheffe theorem.
  2. State Bhattacharya Inequality.
  3. Write the test function associated with i) a non-randomized test ii) a randomized test.
  4. Define UMP test for testing a simple hypothesis against a composite hypothesis.
  5. Write any four applications of chi-square distribution.
  6. State the postulates for Poisson process.
  7. Define Markov chain and give an example.

 

SECTION – B

 

Answer any FIVE questions                                                                        (5 ´ 8 = 40 marks)

 

  1. Let X1, X2,…, Xn be a random sample from N (m, s2). Show that  and S2 are independent.
  2. Derive the pdf of F-distribution.
  3. Let X1, X2, …., Xn be a random sample from a distribution of continuous type with pdf f(x; q). Derive the joint pdf of jth and kth order statistics, 1 £ j < k £
  4. State and prove Factorization Criterion for determining sufficient statistics.
  5. State and prove Rao-Blackwell theorem.
  6. Let X1, X2, …, Xn be a random sample from Poisson distribution that has the mean q > 0.  Show that  is an efficient estimator of q.
  7. Let X1, X2,.., Xn be iid N (m, s2) random variables where both m and s2 are unknown. Obtain a MP test for testing Ho­: m = mo­ ; s2 =  against H1: m = m1; s2 = .
  8. Show that if {N(t)} is a Poisson process, then for s< t, the conditional distribution of N(s) given N(t) = n is binomial b (n, ).

 

 

SECTION – C

 

Answer any TWO questions                                                                        (2 ´ 20 = 40 marks)

 

  1. a) State and Prove Cramer-Rao Inequality.            (10)

 

  1. b) Let X1, X2, …, Xn be iid N(m, s2) random variables. Obtain a confidence interval for m

when (i) s2 is known (ii) s2 is unknown.                                                                    (10)

 

  1. a) State and prove Neyman-Pearson lemma.            (10)

 

  1. b) Let X1, X2, …, Xn be a random sample for N(m, s2) where both m and s2 are unknown.

Derive the likelihood ratio test for testing Ho: m = mo against H1 : m ¹ mo.                  (10)

 

  1. a) Let X1, X2,…, XN be iid b (n, p) random variables, where n and p are unknown. Find

the method of moments estimator for (n,p).                                                                 (7)

 

  1. b) Let X1, X2, …,Xn be a sample for U [q – , q + ]. Show that the maximum

likelihood estimator of q is not unique.                                                                        (7)

 

  1. c) Explain normal test of significance for single mean and give an example. (6)

 

  1. a) Classify the stochastic processes with respect to time and state space. (2)

 

  1. b) State the characteristics of the Brownian motion process (4)

 

  1. c) Establish Chapman – Kolmogorov equaion and hence show that the m – step tpm is the

mth power of 1 – step tpm.                                                                                           (8)

 

  1. d) Explain chi-square test for goodness of fit and give an example. (6)

 

 

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Loyola College M.Sc. Statistics April 2004 Estimation Theory Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI –600 034

M.Sc., DEGREE EXAMINATION – STATISTICS

SECOND SEMESTER – APRIL 2004

ST 2801 – ESTIMATION THEORY

05.04.2004                                                                                                           Max:100 marks

1.00 – 4.00

 

SECTION – A

 

Answer ALL the questions                                                                          (10 ´ 2 = 20 marks)

 

  1. What is the problem of point estimation?
  2. Show that UMVUE of a given parametric function is unique almost surely.
  3. Define QA – optimality criterion.
  4. Let X ~ N ( 0, s2), s > 0. Find a minimal sufficient statistic.
  5. Classify the following as location none of the two:
  6. a) BVN (0,0, q, q, 1/2) b) BVN (q, 0, 1, 1, 0.6).
  7. State Rao-Blackwell theorem.
  8. Define Exponential family.
  9. Let X ~ B (n, p), n = 2, 3 and p = . Obtain MLE of (n, p) based on X.
  10. Define scale equivariant estimator.
  11. Explain Minimax estimation.

 

SECTION – B

 

Answer any FIVE questions                                                                          (5 ´ 8 = 40 marks)

 

  1. Find the Jackknified estimator of m2 in the case of f(x) = , x ≥ m; m Î

 

  1. State and establish Basu’s theorem.

 

  1. Let X1, X2, …, Xn be a random sample from N (m, s2), m Î R, s > 0. Find UMRUE of

(m, m/s) with respect to any loss function which is convex in its second argument.

 

  1. Let X1, X2,…, Xn be iid U (q – , q + ), q Π Find minimal sufficient statistic and examine whether it is boundedly complete.

 

  1. Given a random sample of size n from N (m, s2), mÎR, s > 0, find Cramer – Rao lower bound for estimating ( m/s2).  Compare it with the variance of UMVUE.

 

  1. State and establish the invariance property of CAN estimator.

 

  1. Given a random sample from a location family with the location parameter x, show that is MREE of with respect to any invariant loss function, where dO is an LEE,  = and * minimizes Eo { P (½with respect to .

 

  1. Let X ~ N (q, 1), qÎ Find Bayes estimator of q with respect to squared error loss if the prior of q is N (0, 1).

 

 

 

SECTION – C

 

Answer any TWO questions                                                                        (2 ´ 20 = 40 marks)

 

  1. a) Give an example for each of the following:
  2. i) Ug is empty ii) Ug is singleton.

 

  1. b) Let X be DU {1,2,…, N}, N = 1,2,3,4,… . Find QA – optimal estimator of (N, N2).

(12+8)

  1. a) Show that a vector unbiased estimator is D – optimal if and only if each of its

components is a UMVUE.

 

  1. b) State and establish Lehmann – Scheffe theorem. (12+8)

 

  1. a) Let X1, X2, …, Xn be iid N (0, ),    Find MREE of    r with respect to

standardized squared error loss.

 

  1. b) Let (Xi­ , Yi), i = 1,2, …, n be a random sample from ACBVE distribution with pdf.

f(x,y) = {(2a+b) (a + b) / 2}  exp {-a(x+y) – b max.  (x,y)}, x, y > 0.

Find i) MLE of ( a, b)  and (ii) examine whether the MLE is consistent.           (8+8+4)

 

  1. Write short notes on:-
  2. Jackknifing method.
  3. Fisher information
  4. Location – scale family    (10+5+5)

 

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Loyola College M.Sc. Statistics April 2004 Design Of Experiments Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI –600 034

M.Sc., DEGREE EXAMINATION – STATISTICS

FOURTH SEMESTER – APRIL 2004

ST 4800/S 1015 – DESIGN OF EXPERIMENTS

01.04.2004                                                                                                           Max:100 marks

1.00 – 4.00

 

SECTION – A

           

Answer ALL the questions                                                                          (10 ´ 2 = 20 marks)

 

  1. Define mutually orthogonal contrasts with an example.
  2. Briefly explain the term “Replication”.
  3. Define D – optimalilty.
  4. State the MINIMAL FUNCTION for 32 factorial design.
  5. Give sum of squares for 3 factors interaction for 33 factorial design.
  6. Define a ‘SIMPLE LATTICE SQUARE’.
  7. State any two applications of ‘FINITE FIELD’ in experimental design.
  8. Distinguish between an RBD and BIBD.
  9. Give an example for ‘SYMMETRIC BIBD’ which is NOT ‘RESOLVABLE’.
  10. Briefly explain the term CRITICAL DIFFERENCE.

 

SECTION – B

 

Answer any FIVE questions                                                                          (5 ´ 8 = 40 marks)

 

  1. Develop the Analysis of variance for a 32 Factorial design.
  2. Distinguish between ‘COMPLETE’ and ‘PARTIAL’ Confounding in LSD.
  3. Develop the Analysis of variance for a 24 Factorial Design, when the highest order interaction is confounded.
  4. State clearly the model used in YOUDEN SQUARE and describe the analysis of variance.
  5. Construct a BIBD with V = 3 b = 6    r = 4     k = 2    and = 2.
  6. Explain the term Repeated Latin Square design with suitable illustration.
  7. Distinguish between ‘FIXED EFFECT MODEL’ and ‘RANDOM EFFECT MODEL’ with an example.
  8. State and prove all the parametric conditions of a BIBD.

 

SECTION – C

Answer any TWO questions                                                                        (2 ´ 20 = 40 marks)

 

  1. a) Briefly explain the term MUTUALLY ORTHOGONAL LATIN SQUARES

(M.O.L.S)                                                                                                                    (5)

  1. b) Construct M.O.L.S. when the number of treatments V = 7. (7)
  2. c) Hence construct a SERIES OF BIBDS using the above MOLS, when the block size

k = 4,  k = 5 and k = 6.                                                                                                             (8)

  1. a) Distinguish between ‘Confounding’ and ‘FRACTIONAL REPLICATION’. (8)
  2. b) Develop the analysis of variance for a 24 FRACTIONAL FACTORIAL design stating all the hypothesis, effects and conclusions.            (12)

 

  1. a) Discuss in detail confounding in ‘MORE THAN TWO BLOCKS’ using finite field.

(10)

  1. b) Develop the analysis of variance for a BIBD. (10)

 

  1. Write shot notes on the following:
  2. SPLIT – PLOT design
  3. PBIBD
  4. RESPONSE SURFACE DESIGN
  5. CONCOMITANT VARIABLE.             (4 ´ 5 = 20 marks)

 

 

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Loyola College M.Sc. Statistics April 2004 Analysis Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI –600 034

M.Sc., DEGREE EXAMINATION – STATISTICS

FIRST SEMESTER – APRIL 2004

ST 1800/S 715 – ANALYSIS

03.04.2004                                                                                                           Max:100 marks

9.00 – 12.00

 

SECTION – A

 

Answer ALL questions                                                                                (10 ´ 2 = 20 marks)

 

  1. Define a bijective function.
  2. Define a metric.
  3. Is the set (0,1) complete? How?
  4. Define the symbols Big O and small o.
  5. Let f(x) = 1   if    x is rational

 

0   if    x is irrational,   0 £  x £ 1

Is the function Riemann integrable over  [0,1]?

  1. Define lim inf and lim sup of a sequence xn.
  2. Define the linear derivative of a function f: X Rn;  where X  Rm.
  3. Find the double limit of xmn = and .
  4. Define uniform convergence of a sequence of functions.
  5. Let f(x,y) = be defined on R2 – {(0,0)}.  Show that  f(x,y) does not exist.

 

SECTION – B

 

Answer any FIVE questions.                                                                                     (5 ´ 8 = 40 marks)

 

  1. State and prove Cauchy’s Inequality.
  2. Show that R’ is complete.
  3. Show that any collection of open sets is open and any collection of closed sets is closed.
  4. State and prove Banach’s fixed point theorem.
  5. Let {fn} be a sequence of real functions integrable over the finite interval [a, b]. If fn ® f uniformly on [a, b] then show that i) f is integrable over [a, b] and  ii) .
  6. State and prove Weierstrass M-Test.
  7. Show that A is the upper limit of the sequence {xn} if and only if, given Î > 0

xn <    for all sufficiently large n

xn >    for infinitely many n

  1. Show that if f Î R [ g; a, b] then Î R [g; a,b] and .

If is R.S integrable, can you say f R.S. integrable?  Justify.                                (3+3+2)

 

 

SECTION – C

 

Answer any TWO questions                                                                        (2 ´ 20 = 40 marks)

 

  1. a) State and prove Cauchy’s root test.
  2. b) Discuss the convergence of the infinite series whose nth terms are
  3. i)                                                                          (8+6+6)

 

  1. a) Define a compact metric space. Show that a compact set in a metric space is also

complete.                                                                                                                       (5)

  1. b) State and prove Heine – Borel theorem. (15)

 

  1. a) State and prove a necessary and sufficient condition that the function f is Riemann –

Stieltjes interable.

  1. b) If f is continuous then show that f Î R [g; a,b]
  2. c) If f1, f2 Î R [g; a,b] then show that f1 f2 Î R [g; a,b]                           (6+6+8]

 

  1. a) Let (X, r) and Y, s) be metric spaces. Show that the following condition is necessary

and sufficient for the function f: X ® Y to be continuous on X: whenever G is open in

Y, then f-1 (G) is open on X.

  1. b) Let V,W be normed vector spaces. If the function f: V ® W is linear, then show that

the following three statements are equivalent.

  1. f is continuous on V
  2. There is a point at which f is continuous.
  • is bounded for x V – {0}.

 

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Loyola College M.Sc. Statistics April 2004 Advanced Operations Research Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI –600 034

M.Sc., DEGREE EXAMINATION – STATISTICS

  FOURTH SEMESTER – APRIL 2004

ST 4951/S 1052 – ADVANCED OPERATIONS RESEARCH

12.04.2004                                                                                                           Max:100 marks

1.00 – 4.00

SECTION – A

 

Answer ALL questions                                                                                (10 ´ 2 = 20 marks)

 

  1. What is the need for an integer programming problem?
  2. Define a covex function.
  3. Is the following quadratic form negative definite?

j (x1, x2) = –

  1. Is the function f(x) = x1 separable? x = (x1, x2).
  2. Define a quadratic programming problem.
  3. Explain the Markovian property of dynamic programming.
  4. When do you say the Khun-Tucker necessary conditions are also sufficient for a maximization problem?
  5. Explain the need for Goal programming.
  6. What is zero-one programming?
  7. When do we need Geometric programming problem?

 

SECTION – B

 

Answer any FIVE questions                                                                        (5 ´ 8 = 40 marks)

 

  1. Solve the following LPP by dynamic programming.

max z = 3x1 + 4x2

Subject to

2x1+x2 £ 40

2x1+5x2 £ 180

x1+x2 ≥ 0

  1. State and prove the necessary condition for a function of n variables to have a minimum. Also prove the sufficient condition.
  2. Derive the Gomery’s constraint for a mixed algorithm.
  3. Solve by Beale’s method

max Z = 2x1 +3x2 –

Subject to

x1 + 2x2 £ 4, x1, x2 ≥ 0.

  1. Solve by using Khun – Tucker conditions

max Z = 10x1 + 4x2 – 2

Subject to: 2x1 + x2 £ 5, x1, x2 ≥ 0

 

 

 

 

  1. Reduce the following separable programming problem to an approximate linear programming problem.

f(x1, x2) = 2x1 + 3

Subject to 4x1 + 2£ 16, x1, x2 ≥ 0

  1. Consider the chance constrained problem

max Z = 5x1 + 6x2 + 3x3

Subject to

Pr [a11 x1 + a12 x2 + a13 x3 £ 8] ≥ .95

Pr [5x1 + x2 + 6x3 £ b2] ≥ .1, xj ≥ 0 “j = 1,2,3

~ N

b2 ~ N (7,9).  Reduce this problem to a deterministic model.

  1. Solve

minimize f(x1, x2) = 3 + 2

Subject to

x1 + x2 = 7

x1, x2≥ 0

 

SECTION – C

 

Answer any TWO questions                                                                        (2 ´ 20 = 40 marks)

 

  1. a) Solve the following all Integer programming problem

max  Z = x1 + 2x2

Subject to

x1 + x2 £ 7

2x1 £ 11

2x2 £ 7     x1, x2 ≥ 0, x1, x2 integers.

  1. b) Explain branch and bound method with an example.                                            (12+8)
  2. Solve by Wolfe’s method

max Z =  2x1 + 3

Subject to

x1 + 4 x2  £  4

x1 + x2 £ 2

x­1, x2 ≥ 0

  1. a) A student has to take examination in 3 courses A,B,C. He has 3 days available for the study.  He feels it would be best to devote a whole day to the study of the same course, so that he may study a course for one day, two days or three days or not at all.  His estimates of the grades he may get by study are as follows:-

Course  A      B    C

Days

0                  0      1     0

1                  1      1     1

2                  1      3     3

3                  3      4     3

How should he study so that he maximizes the sum of his grades?  Solve by Dynamic

Progrmming.

  1. b) Solve the following using dynamic programming

min Z =

Subject to

u1+u2+u3 ≥ 10,  u1, u2, u3 ≥ 0                                                       (15+5)

  1. a) Solve the following Geometric programming problem

f(X) = .

  1. b) Explain how will you solve if there is a constraint.        (15+5)

 

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Loyola College M.Sc. Statistics Nov 2004 Sampling Theory Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI –600 034

M.Sc., DEGREE EXAMINATION – STATISTICS

FIRST SEMESTER – NOVEMBER 2004

ST 1805/1802 – SAMPLING THEORY

25.10.2004                                                                                                           Max:100 marks

9.00 – 12.00 Noon

 

SECTION – A

 

Answer ALL the questions                                                                            (10 ´ 2 = 20 marks)

 

  1. Define probability Sampling Design and explain the meaning of probability Sampling.
  2. Distinguish between varying size sampling design and fixed size sampling design. Give an example for each design.
  3. Define the following:
  4. a) Inclusion indicator
  5. First and Second order inclusion probabilities.
  6. Prove the following:
  7. Ep [Ii (s)] = pi ; i = 1, 2, …, N
  8. Ep [Ii (s) Ij (s)] = pij ; i, j = 1,2, …, N ; i ¹
  9. Show that an unbiased estimator for the population total can be found if an only if the first order inclusion probabilities are positive for all N units in the population.
  10. Derive the formula for pi and pij under Simple Random Sampling Design.
  11. Describe the Linear Systematic Sampling Scheme and write its probability sampling design.
  12. Derive the approximate bias of the ratio estimator for the population total Y.
  13. In cluster sampling, suggest an unbiased estimator for the population total. Write the variance of the unbiased estimator.
  14. Explain Multistage Sampling.

 

SECTION – B

 

Answer any FIVE questions.                                                                          (5 ´ 8 = 40 marks)

 

  1. Show that an estimator can be unbiased under one design but biased under another design.

 

  1. For any sampling design, prove the following:

 

  1. Suggest an unit drawing mechanism for simple random sampling design and prove that the unit drawing mechanism implements the simple random sampling design.

 

  1. Explain Lahiri’s method of PPS sampling. Show that Lahiri’s method of selection is a PPS selection method.

 

  1. Write the reason for using Desraj ordered estimator instead of Horwitz – Thompson estimator under PPSWOR sampling scheme. Also prove that the Desraj ordered estimator is unbiased for the population total.
  2. Describe the Random Group Method of Sampling. Find an unbiased estimator of population total under this method and derive its variance.
  3. Compare V () and V () assuming the population values Yi satisfy

Yi = a + bi, i = 1, 2, …N.

[

  1. Explain Warner’s randomized response technique for estimating the proportion pA of the persons belonging to group A in a population.

 

SECTION – C

 

Answer any TWO questions                                                                          (2 ´ 20 = 40 marks)

 

  1. a) Under any design P(×), derive the variance of Horwitz – Thompson estimator and find

its estimated variance.                                                                                                (16)

  1. b) Define Midzuno Sampling Design and state the unit drawing mechanism for this

design.                                                                                                                          (4)

 

  1. After the decision to take a simple random sample has been made, it was realized that the value of unit with level 1 would be unusually low and the value of unit with label N would be unusually high. In such cases, it is decided to use the estimator.

 

 

 

 

 

where C is a pre-determined constant.  Show that

  • is unbiased for  for any C.
  • Derive V ()
  • Find the value of C for which is more efficient than .

 

  1. a) Show that Linear Regression estimator is more efficient than Ratio estimator

unless b = R.                                                                                                                (4)

 

  1. b) Assuming samples are drawn using SRS in both the phases of double sampling,

suggest , and  when

  • the second phase sample is a subsample of the first phase sample.
  • the second phase sample is independent of the first phase sample. (16)

 

  1. a) In stratified sampling, deduct , V() and () assuming
  • SRS is used in all strata
  • PPSWR sampling is used in all strata.            (12)

 

  1. b) Obtain the variance of the following:
  • Hansen – Horwitz estimator in Double Sampling.
  • Estimator in Two – stage Sampling.                                            (8)

 

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Loyola College M.Sc. Statistics Nov 2004 Measure Theory Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI –600 034

M.Sc., DEGREE EXAMINATION – STATISTICS

FIRST SEMESTER – NOVEMBER 2004

ST 1902 – MEASURE THEORY

03.11.2004                                                                                                           Max:100 marks

9.00 – 12.00 Noon

 

SECTION – A

 

Answer ALL the questions                                                                            (10 ´ 2 = 20 marks)

 

  1. Let {An, n ≥ 1} be a sequence of subsets of a set W. Show that lim inf An C lim sup An.
  2. Define minimal s – field.
  3. What is a set function.?
  4. Give an example of a counting measure.
  5. Show that any interval is a Borel set but Borel set need not be an interval.
  6. Define an Outer measure.
  7. Define Lebesgue – Stieltjes measure.
  8. Show that a composition of measurable functions is measurable.
  9. Define a simple function with an example.
  10. State Borel-Cantelli lemma.

 

SECTION – B

 

Answer any FIVE questions.                                                                          (5 ´ 8 = 40 marks)

 

  1. If {Ai, i ≥ 1} is a sequence of subsets of a set W then show that

(Ai ).

 

  1. If D is a class of subsets of W and A C W, we denote D A the class {B A½B Î D}.  If the minimal s – field over D is    W (D), Show that    A (D  A) =     W  (D)

 

  1. Let 0 be a field of subsets of W.  Let P be a probability measure on    0.  Let {An, n ≥ 1} and {Bn, n ≥ 1} be two increasing sequences of sets such that .        Then show that

 

  1. State and establish monotone class theorem.

 

  1. If h and g are IB – measurable functions, then show that max {f, g} and min {f, g} are also IB – measurable functions.

 

  1. If m is a measure on (W, ) and A1, A2,… is a sequence of sets in    , Use Fatou’s lemma to show that
  2. m
  3. If m is finite, then show that m .

 

  1. Define absolute continuity of measures. Show that l < < m if and only if  < < m.

 

  1. State Radon – Nikodym theorem. Mention any two applications of this theorem to probability / statistics.

 

SECTION – C

 

Answer any TWO questions                                                                          (2 ´ 20 = 40 marks)

 

  1. a) Let {xn} be a sequence of real numbers, and let An = (-¥, xn). What is the connection

between  sup xn and   Similarly what is the connection between

inf  xn and  inf An.

 

  1. Show that every s – field is a field. Is the converse true?                        (8+12)

 

  1. a) Let W be countably infinite set and let consist of all subsets of W.  Define

0       if A is finite

m (A) =     ¥     if A is infinite.

 

  1. Show that m is finitely additive but not countably additive.
  2. Show that W is the limit of an increasing sequence of sets An with

m (An) = 0 “n but m (W) = .

 

  1. b) Show that a s – field s is a monotone class but the converse is not true.            (7+7+6)

 

  1. a) State and establish Caratheodory extension theorem.

 

  1. b) If exists and C Î IR then show that = .                           (12+8)

 

  1. a) State and establish extended monotone convergence theorem.

 

  1. b) State and establish Jordan – Hahn Decomposition theorem. (10+10)

 

 

 

 

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Loyola College M.Sc. Statistics Nov 2004 Mathematical Statistics – I Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI –600 034

M.Sc., DEGREE EXAMINATION – MATHEMATICS

THIRD SEMESTER – NOVEMBER 2004

ST 3951 – MATHEMATICAL STATISTICS – I

02.11.2004                                                                                                           Max:100 marks

1.00 – 4.00 p.m.

 

SECTION – A

 

Answer ALL the questions                                                                            (10 ´ 2 = 20 marks)

  1. Find C such that f (x) = C satisfies the conditions of being a pdf.
  2. Let a distribution function be given by

0                 x < 0

F(x) =        0 £ x < 1

1            x ≥  1

 

Find     i) Pr               ii) P [X = 0].

  1. Find the MGF of a random variable whose pdf is f (x) = , -1 < x < 2, zero elsewhere.
  2. If the MGF of a random variable is find  Pr [X = 2].
  3. Define convergence in probability.
  4. Find the mode of a distribution of a random variable with pdf

f (x) = 12x2 (1 – x), 0 < x < 1.

  1. Define a measure of skewness and kurtosis using the moments.
  2. If A and B are independent events, show that AC and BC are independent.
  3. Show that E (X) = for a random variable with values 0, 1, 2, 3…
  4. Define partial correlation.

 

 

SECTION – B

 

Answer any FIVE questions.                                                                          (5 ´ 8 = 40 marks)

 

  1. Show that the distribution function is non-decreasing and right continuous.

 

  1. ‘n’ different letters are placed at random in ‘n’ different envelopes. Find the probability that none of the letters occupies the envelope corresponding to it.

 

  1. Show that correlation coefficient lies between -1 and 1. Also show that p2 = 1 is a necessary and sufficient condition for P [Y = a + bx] = 1 to hold.

 

  1. Derive the MGF of gamma distribution and obtain its mean and variance.

 

  1. Let f (x, y) = 2 0 < x < y < 1 the pdf of X and Y.  Obtain E [X | Y] and E [Y | X].  Also obtain the correlation coefficient between X and Y.

 

  1. Show that Binomial distribution tends to Poisson distribution under some conditions.

 

  1. State Chebyshw’s inequality. Prove Bernoulli’s weak law of large numbers.

 

  1. 4 distinct integers are chosen at random and without replacement from the first 10 positive integers. Let the random variable X be the next to the smallest of these 4 numbers.  Find the pdf of X.

 

 

SECTION – C

 

Answer any TWO questions                                                                          (2 ´ 20 = 40 marks)

 

  1. a) Let {An} be a decreasing sequence of events. Show that

P .  Deduce the result for increasing sequence.

 

  1. b) A box contains M white and N – M red balls. A sample of size n is drawn from the

box.  Obtain the probability distribution of the number of white balls if the sampling is

done     i) with replacement     ii) without replacement.                                       (10+10)

 

  1. a) State any five properties of Normal distribution.

 

  1. In a distribution exactly Normal 7% are under 35 and 89% are under 63. What are the mean and standard deviation of the distribution?
  2. If X1 and X2 are independent N and Nrespectively, obtain the distribution of a1 X 1 + a2 X2.                                                                                  (5+10+5)

 

  1. a) Show that M (t1, t2) = M (t1, 0) M (0, t2) “, t1, t2 is a necessary and sufficient condition

for the independence of X1 and X2.

 

  1. b) Let X1 and X2 be independent r.v’s with

f1 (x1) =  ,  0 < x1 < ¥

f2 (x2) =  ,  0 < x2 < ¥

Obtain the joint pdf of Y1 = X1 + X2 and Y2 =

Also obtain the marginal distribution of Y1 and Y2

 

  1. c) Suppose E (XY) = E (X) E (Y).  Does it imply X and Y are independent.

(6+10+4)

 

  1. a) State and prove Lindberg-Levy central limit theorem.

 

  1. b) Let Fn (x) be distribution function of the r.v Xn, n = 1,2,3… Show that the

sequence{Xn} is convergent in probability to O if and only if the sequence Fn (x)

satisfies

 

=   0     x < 0

1    x ≥ 0

 

  1. c) Let Xn, n = 1, 2, … be independent Poisson random variables. Let y100 = X1 + X2 + …+

X100.  Find  Pr [190 £ Y100 £ 210].                                                                        (8+8+4)

 

 

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Loyola College M.Sc. Statistics Nov 2004 Computational Statistics – III Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI –600 034

M.Sc., DEGREE EXAMINATION – STATISTICS

THIRD SEMESTER – NOVEMBER 2004

ST 3803 – COMPUTATIONAL STATISTICS – III

02.11.2004                                                                                                           Max:100 marks

1.00 – 4.00 p.m.

 

SECTION – A

 

Answer any THREE questions without omitting any section .                   (3 ´ 34 = 102 marks)

 

  1. a) Use two phase method to solve

Max. z = 5x  – 2y + 3z

Subject .to

2x + 2y – z   ≥  2

3x – 4y         £  3

y + 3z <  5

x, y, z ≥ 0                                                        (17 marks)

 

  1. b) An airline that operates seven days a week between Delhi and Jaipur has the time-table

as shown below.  Crews must have a minimum layover of 5 hours between flights.

Obtain the pairing of flights that minimizes layover time away from home.  Note that

crews flying from A to B and back can be based either at A or at B.  For any given

pairing, he crew will be based at the city that results in smaller layover:

 

Flight No. Departure Arrival Flight No. Departure Arrival
1 7.00 a.m. 8.00 a.m 101 8.00 a.m. 9.15 a.m
2 8.00 a.m. 9.00 a.m 102 8.30 a.m. 9.45 a.m
3 1.30 p.m. 2.30 p.m 103 12.00 noon 1.15 p.m
4 6.30 p.m 7.30 p.m 104 5.30 p.m 6.45 p.m

 

(17 marks)

  1. a) Solve the following unbalanced transportation problem:

 

To

1      2      3   Supply

From

Demand          75    20   50                                                                  (17 marks)

 

  1. b)  Consider the inventory problem with three items.  The parameters of the problem are

shown in the table.

 

Item Ki bI hi ai
1 Rs.500/- 2 units Rs.150/- 1 ft2
2 Rs.250/- 4 units Rs.  50/- 1 ft2
3 Rs.750/- 4 units Rs.100/- 1 ft2

 

Assume that the total available storage area is given by A = 20ft2.  Find the economic

order quantities for each item and determine the optimal inventory cost.      (17 marks)

 

SECTION – B

 

 

  1. a) Suppose the one step transition probability matrix is as given below:

Find i) p00(2)         ii) f00(n)          iii) f13(n)          and      iv) f33(n).

 

 

.

(17 marks)

 

  1. For a three state Markov chain with states {0,1,2} and transition probability matrix

 

Find the mean recurrence times of states 0, 1, 2.                                (17 marks)

 

  1. a) An infinite Markov chain on the set of non-negative integers has the transition function

as follows:

pk0 = (k+1) /(k+2)        and  pk,k+1 1/(k+2)

 

  1. Find whether the chain is positive recurrent, null recurrent or transient.
  2. Find the stationary distribution, incase its exists. (17 marks)

 

  1. b) Consider a birth and death process three states 0, 1 and 2, birth and death rates such

that m2 = l0.  Using the forward equation, find p0y (t), y = 0,1,2.                   (17 marks)

 

SECTION – C

 

 

  1. a) From the following data test whether the number of cycles to failure of batteries is

significantly related to the charge rate and the depth of discharge using multiple

correlation coefficient at 5% level of significance.

 

X1

No. of cycles to failure

 X2

Charge rate in (amps)

 X3

Depth of discharge
101 0.375 60.0
141 1.000 76.8
  96 1.000 60.0
125 1.000 43.2
  43 1.625 60.0
  16 1.625 76.8
188 1.00 100.0
  10 0.375 76.8
386 1.00 43.2
160 1.625 76.8
216 1.00 70.0
170 0.375 60.0

(20 marks)

 

  1. For the above data given in 5a Test for the significance population partial correlation

coefficient between X1 and X2.                                                                          (14 marks)

 

  1. The stiffness and bending strengths of two grades of Lumber are given below:

 

                 I grade                II grade
    Stiffness  Bending strength   Stiffness Bending strength
1,232 4,175 1,712 7,749
1,115 6,652 1,932 6,818
2,205 7,612 1,820 9,307
1,897 10,914 1,900 6,457
1,932 10,850 2,426 10,102
1,612 7,625 1,558 7,414
1,598 6,954 1,470 7,556
1,804 8,365 1,858 7,833
1,752 9,469 1,587 8,309
2,067 6,410 2,208 9,559

 

Test whether there is significant difference between the two grades at 5% level of

significance, by testing the equality of mean vectors.  State your assumptions.

(34 marks)

 

 

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Loyola College M.Sc. Physics Nov 2004 Spectroscopy Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 34.

  1. Sc., Degree examination – PHYSICS

First semester – NOVEMBER 2004

PH 1804 –  Spectroscopy

 

Date : 25.10.2004                                       Max. 100 Marks

Duration: 9.00 – 12.00                         Hours : 3 Hrs

 

 

PART – A

 

 

Answer all the questions                                              (10 X 2 = 20)

 

  1. Classify the type of molecule according to structure from the following list H2O, CO2, CCl4, NH3
  2. Calculate the rotational constant of the H2 molecule. Given that the H-H bond length is 74. 12 pm.
  3. Sketch the fundamental vibrational modes of H2O molecule
  4. State the rule of mutual exclusion
  5. What is Fortrat parabola? Explain its significance
  6. The absorption spectrum of O2 shows vibrational structure, which becomes continuum at 56.876 cm-1. The upper electronic state dissociates into one ground state atom and one excited atom (spectral position at 15875 cm-1). Estimate the dissociation energy of ground state O2 in KJ/mol.
  7. Calculate the value of nuclear magneton
  8. Sketch the H-NMR spectrum of CH3CH2OH
  9. Calculate the recoil velocity of a free Mossbauer nucleus of mass 1.67 X 10 –25 kg, when it emits gamma ray of wavelength 0.1 nm.
  10. Mention any two limitations of surface spectroscopy

 

 

PART – B

 

Answer any four                                                  (4 X 7.5 = 30)

 

  1. Obtain an expression for J for maximum population. The rotation spectrum of a sample has a series of equidistant lines spaced 0.7143 cm-1 apart. Find which transition gives rise to the most intense spectral line at 27°C

 

  1. Describe with theory the rotation – vibration spectra of a diatomic molecule

 

  1. What is Franck-Condon principle? Using the same, explain the intensity of spectral lines

 

  1. Discuss the effect of electric and magnetic fields on Mossbauer spectrum exhibited by 57 Fe.

 

  1. Outline the principle of Electron Energy Loss Spectroscopy and mention the applications

 

PART –  C

 

 

Answer any four                                                            (4 X 12.5 = 50)

 

16a) Explain, with necessary theory, the rotational spectrum of a diatomic molecule of the rigid-rotor type. Deduce the spectrum of non-rigid rotor type molecule.                                                                                        (10)

  1. b) The bond-length of nitrogen molecule is 0.10976 nm. Calculate the seperation between Raman lines. (2.5)

 

  1. a) Outline the theory of Raman effect on the basis of i) classical theory ii) quantum theory.                                                                    (8)
  2. b) The fundamental band of CO is centered at 2143 cm-1 and the first overtone band at 4259.7 cm-1. Calculate i) fundamental frequency of vibration ii) anharmonicity constant iii) zero point energy (4.5)

 

  1. Discuss in detail, the method of characterizing samples using Electron spectroscopy for chemical analysis

 

  1. Discuss in detail, the shielding and de-shielding phenomenon in nuclear magnetic resonance spectroscopy. Explain how the spectral splitting is explained using family tree method.

 

  1. Explain the principles of Auger electron spectroscopy.

 

 

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Loyola College M.A. Social Work Nov 2003 Children In India Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

M.A. DEGREE EXAMINATION – SOCIALWORK

THIRD SEMESTER – NOVEMBER 2003

SW 3980 /  916–IV – CHILDREN IN INDIA

03.11. 2003                                                                                                    Max.   : 100 Marks

1.00 – 4.00

SECTION – A

 

Answer all questions. Answer should not exceed 50 words.                       (10 x 2 = 20 marks)

  1. What is child trafficking? Give an example.
  2. What are the four fundamental rights of the child according to the U.N. Convention?
  3. List any four Articles in the Indian Constitution that seek to protect the rights of the child.
  4. List any four Tamil Nadu govt’s programmes for children.
  5. What are the objectives of T.N. forces?
  6. Match the Following concepts with the authors associated with them.

 

A

B

1.

Child attachment theory

a

Watson

2.

Positive Feedback Theory

b

Freud

3.

Oral fixation

c

W. Dyer

4.

Learnt Behaviour

d

Bowlby

 

  1. List any four categories of children who can be considered as ‘children with special needs’
  2. List any four ways in which the media can have a negative impact on children.
  3. List any four social legislations that take care of the interests of the child.
  4. State the following national figures as per the 2001 Census data
  5. Infant Mortality rate b) Sex Ratio c) Children affected with HIV / AIDS
  6. Child population below 14 years

SECTION – B

Answer any FOUR questions. Answer to each question should not exceed 300 words.

(10 x 4 = 40 marks)

 

  1. What are the dangers faced by the child who is involved in begging? Why is it difficult to control the problem of child beggary.
  2. Explain the working of any one Network in Tamil Nadu that promotes the rights of the child.
  3. How does the ‘Inclusive Education Approach’ help the child with disabilities? Explain with a case study.
  4. List the various psycho-social factors that induce a child to resort to the streets for his / her survival.
  5. Critically examine the working of the Child Help Line Service in Chennai.
SECTION – C

 

Answer any two questions. Answer to each question should not exceed 900 words.

(20 x 2 = 40 marks)

 

  1. “The Female child in India faces double discrimination at every state of her life”. Explain.

 

  1. What are the various forms of violation of child rights as assessed by the social workers of the child Abuse prevention project of the ICCW? Discuss, giving suitable case studies.

 

  1. Analyse the causes, type and problems of child labour. Suggest measures to deal with the problem of child labour.

 

 

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Loyola College M.A. Social Work April 2004 Urban Community Development Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

M.A. DEGREE EXAMINATION – SOCIAL WORK

FOURTH SEMESTER – APRIL 2004

SW  4950/SW 1015. I – URBAN COMMUNITY DEVELOPMENT

 

Date        : 02.04.04                                                                                                            Max        : 100 marks

Duration : 9 – 12 noon                                                                                                     Hours      : 3 hrs

 

SECTION – A

Answer ALL questions, answer to each question shall not exceed 50 words.

All questions carry equal marks:                                                       (10 x 2 = 20 marks)

 

  1. Define ‘Urban Planning’:
  2. Differentiate Urban Community Development from Urban Development.
  3. Differentiate Slum Clearance from Slum Improvement.
  4. State any four functions of the Chennai Metropolitan Development Authority.
  5. Write any four constraints in Urban Community Development.
  6. List out the reasons to declare an area as slum as per Tamil Nadu Slum Areas (Improvement and Clearance) Act, 1971.
  7. Enumerate any four main skills required for Urban Community Development worker.
  8. How will you define the urban poor from the non-economic consideration?
  9. Write any four functions of Tamil Nadu Housing Board.
  10. List out any four NGOs involved in the Urban Community Development.

SECTION – B

Answer any FOUR questions.

Each answer should not exceed 300 words:                                     (4 x 10 = 40 marks)

 

  1. Define ‘Industralisation’. Discuss its impact on urban community.
  2. Discuss the problem of Migration in urban areas.
  3. How is the knowledge of Urban Community Development useful to a Professional Social Worker?
  4. What do you understand by Municipal Corporation? How do they differ from other local bodies?
  5. Discuss the problem of ‘apathy’ in the urban community. How will you overcome the problem.

SECTION – C

Answer any TWO of the following in not more than 600 words:

(2 x 20 = 40 marks)

  1. Discuss the impact of Globalization on the urban poor.
  2. Discuss the Tamil Nadu Government Resettlement Project. What are the problems of resettelers? Give Suggestions to minimize the problems.
  3. How will you promote the adequate strategies for the housing for the urban poor?

 

 

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Loyola College M.A. Social Work April 2004 Sociology & The Study Of Indian Society Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

M.A. DEGREE EXAMINATION – SOCIAL WORK

FIRST SEMESTER – APRIL 2004

SW 1801 /SW 716 – SOCIOLOGY AND THE STUDY OF INDIAN SOCIETY

 

Date      : 05.04.04                                                                                                             Max     : 100 marks

Duration: 9 – 12 p.m.                                                                                                         Hours   : 3 hrs

 

 

SECTION – A

 

Answer ALL questions. All questions carry equal marks.                                                                 (10 x 2 = 20 marks)

 

Answer to each question should not exceed 50 words.

 

  1. What is functionalist perspective in Sociology?
  2. Indicate any four salient features of Max Weber’s Bureaucracy.
  3. Name any four branches of Sociology.
  4. Name any four characteristics of Society.
  5. Define Power.
  6. What is Sanskritization?
  7. Name the types of Suicide as indicated by Emile Durkheim.
  8. Define Deviance.
  9. Differentiate Competition from Cooperation.
  10. Give any four differences between Class and Caste.

 

SECTION – B

 

Answer any FOUR                                                                                                                  (4 x 10 = 40 marks)

 

All questions carry equal marks. Each answer should not exceed 300 words.

 

  1. Describe the agents of Social Control.
  2. Examine the impact of religion in Society.
  3. Discuss the forms of Mass Behavior.
  4. Discuss the effects of Urbanization.
  5. Discuss the types of Social Movements with examples.
  6. Describe the meaning types, characteristics and functions of a Family.

 

SECTION – C

 

Answer any TWO. All questions carry equal marks.                                                             (2 x 20 = 40 marks)

 

Answer should not exceed 600 words.

 

  1. Write an essay on the nature of Indian Society with regard to its structure and diversity.
  2. Discuss the causes of Poverty and the remedial measures
  3. Discuss the Concept of Social Groups. Explain the classifications of Social Groups.

 

 

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Loyola College M.A. Social Work April 2004 Social Work Prof.,History,Philosophy & Methods Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

MA DEGREE EXAMINATION – SOCIAL WORK

FIRST SEMESTER – APRIL 2004

SW 1800 /SW 715 – SOCIAL WORK PROF., HISTORY, PHILOSOPHY & METHODS

 

Date        : 31.03.04                                                                                                    Max     : 100 marks

Duration  : 9 –12 noon                                                                                                Hours   : 3 hrs

 

PART – I

SECTION – A

Answer ALL in 50 words:                                                                                                 (5 x 2 = 10 marks)

 

  1. Mention any four objectives of Social Work.
  2. What is the difference between Social Work and Social Service.
  3. Mention any four social reform movements that contributed to the area of Social Welfare in India.
  4. Write any four main functions of Central Social Welfare Board.
  5. What is the contribution of Dr. Clifford Manshardt to the A Social Work profession?
SECTION – B

Answer any TWO in 300 words each:                                                                             (2 x 10 = 20 marks)

 

  1. Discuss United Nations Charter in connection with Human Rights.
  2. Highlight any six-articles from the Directive Principles of State Policy, which are related to Social Welfare.
  3. How do you apply the principles of Social Work in your field practice?

 

SECTION – C

Answer any ONE in 600 word:                                                                                                    (1 x 20 = 20 marks)

 

  1. Explain Gandhian Philosophy and its relevance to the Profession of Social Work.
  2. Analyse the contribution of predominant Indian Social reformers to Social Work.

 

PART – II

 

SECTION – A

Answer ALL questions within 50 words each:                                                                  (5 x 2 = 10 marks)

 

  1. Mention two values professed by Social Work profession.
  2. List four important skills a professional Social Worker should possess.
  3. Mention two important objectives of Field work.
  4. List any Four functions of a professional organisation.
  5. Differentiate methods of Social Work from the Fields of Social Work.
SECTION – B

Answer any TWO questions within 300 words each:                                                      (2 x 10 = 20 marks)

 

  1. Code of Ethics for Social Work profession is a must. Comment
  2. Analyse the problems of voluntary organisation in the country.
  3. Suggest measures to overcome the problems of professional social workers in the country.
SECTION – C

Answer any ONE question within 600 words.                                                                 (1 x 20 = 20 marks)

 

  1. Critically analyse the status of Social Work education in the country.
  2. Social Work is emerging as a profession. Comment.

 

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Loyola College M.A. Social Work April 2004 Social Case Work & Social Group Work-II Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

M.A. DEGREE EXAMINATION – SOCIAL WORK

SECOND SEMESTER – APRIL 2004

SW 2803/SW 818 – SOCIAL CASE WORK & SOCIAL GROUP WORK – II

 

Date        :15.04.04                                                                                         Max        : 100 marks

Duration : 9 – 12 noon                                                                                               Hours      : 3 hrs

PART – I

 

SECTION – A

Answer ALL within 50 words each:                                                                             (5 x 2 = 10 marks)

 

  1. Define psychotherapy
  2. What is a planned short-term casework?
  3. How does Karma theory effect social casework practice?
  4. Define Counselling.
  5. What is meant by preventive casework?

 

SECTION – B

Answer any TWO within 300 words each:                                                                  (2 x 10 = 20 marks)

 

  1. Explain the application of social casework practice in a psychiatric setting.
  2. Explain the process of crisis intervention.
  3. List the roles and functions of caseworker in a family and child welfare agency.

 

SECTION – C

Answer any ONE within 600 words each:                                                                   (1 x 20 = 20 marks)

 

  1. Bring out the similarities and differences between casework, psychotherapy and counseling.
  2. Discuss the scope of casework practice in India with suitable examples.

 

PART – II

SECTION – A

Answer ALL within 50 words each:                                                                             (5 x 2 = 10 marks)

 

  1. Mention any four factors affecting social norms in the group.
  2. Differentiate between ‘ascribed and achieved leadership.
  3. Define ‘group think’
  4. Give any four qualities of a good leader.
  5. What is acceptance in group work activity?

 

SECTION – B

Answer any TWO of the following questions. Answers should not exceed 300 words.      (2 x 10 = 20 marks)

 

  1. What are the therapeutic factors affecting a group.
  2. Explain different styles of leadership in social group work practice.
  3. Discuss the importance of conflict resolution in group work, with your field work experience.

 

SECTION – C

Answer any ONE words not to exceed 600:                                                                (1 x 20 = 20 marks)

 

  1. Design a group activity in detail using ‘Social goal Model’,
  2. Explain the role of social worker in any two of the following setting.
  • community (ii) educational (iii) Family welfare services.

 

 

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