F.Y.B.A ( 2013 PATTERN ).pdf - Savitribai Phule Pune University

P.T.O.

Total No. of Questions—5] [Total No. of Printed Pages—4

Seat

No. [5401]-1001

F.Y. B.A. EXAMINATION, 2018

COMPULSORY ENGLISH

(2013 PATTERN)

Time : Three Hours Maximum Marks : 80

Text Prescribed : Visionary Gleam

N.B. :— (i) All questions are compulsory.

(ii) Figures to the right indicate full marks.

1. Attempt any one from (A) and one from (B) of the following in

about 150 words each : [16]

(A)

(i) Write a note on the astrologer’s way of dealing with his clients.

(ii) Explain how low self-esteem affects one’s communicative ability.

(B)

(i) Do you agree that love and sacrifice is the theme of the story

‘The Gift of the Magi’ ? Why ?

(ii) Attempt the character sketch of Lachmi.



(A)

(i) Comment on the title of the poem ‘A Red, Red Rose’.

(ii) How does the poet describe his love for his beloved in the

poem, ‘A Red, Red Rose’ ?

[5401]-1001 2

(B)

(i) Comment on the theme of the poem, ‘Where The Mind Is

Without Fear’ ?

(ii) Elaborate the central idea of the poem, ‘If You Call Me’.

3. Attempt any one from (A) and one from (B) in the following about

150 words each : [16]

(A)

(i) Why did Nehru think that no nation can exist in isolation ?

(ii) ‘‘The young generation is at the threshold of facing more challenges

than their forefathers.’’ Explain.

(B)

(i) Why does Dr. Ambedkar express doubts about India’s democratic

system ?

(ii) Comment on the theme of the short story ‘The Eyes Are Not

Here’.



(A)

(i) How does William Wordsworth describe the city of London

in the early hours of the day ?

(ii) What is the narrator’s attitude towards the old woman ?

[5401]-1001 3 P.T.O.

(B)

(i) Comment on the title of the poem, ‘An Old Woman’.

(ii) Elaborate the central idea of the poem, ‘Success Is Counted

Sweetest’.

5. (A) Attempt any four of the following : [8]

(i) Fill in the blanks in the sentence below, using verbs

in the simple present form :

Oxygen .................... (go) directly into the blood through

the capillaries and the heart .................... (pump) blood

to different parts of the body.

(ii) Fill in the blanks in the sentence given below, using the

present progressive tense forms of the verbs in the

brackets :

Workers .................... (clean up) the streets and painters

.................... (paint) the buildings.

(iii) Fill in the blanks using the past tense forms of the verbs

in the brackets :

We .................... (have) a house in Delhi but we ....................

(sell) it last year.

(iv) Fill in the blanks in the sentence below using the appropriate

form (singular or plural) of the verb given in the brackets.

Use the verbs in the tenses suggested :

They .................... (run : past progressive) to catch the

bus as they .................... (be : simple past) late.

[5401]-1001 4

(v) Correct the following sentence and rewrite it :

Everyone want to succeed.

(vi) Correct the following sentence and rewrite it :

His clothes is very expensive.

(B) Attempt any two of the following : [8]

(i) Mr. Sujeet invites his colleague to his son’s brithday.

Write an informal dialogue based on this situation.

(ii) Your friend Sunil wins the first prize in the singing

competition. Write a dialogue based on this situation.

(iii) Your friend’s grandmother dies in an accident. You visit

your friend to offer condolences. Write a dialogue based

on this situation.

Total No. of Questions—5+4] [Total No. of Printed Pages—7

Seat

No. [5401]-1002


MARATHI

G-2 :

(2013 PATTERN)

:— (1)

(2)

(3)

80

:— (i)

(ii)

1. [10]

(1)

(2)

(3)

(4)

(5)

(6)

(7)

P.T.O.

[5401]-1002 2

[10]

(1)

(2)

(3)

(4)

(5)

(6)

(7)

2. [10]

(1)

(2)

(3)

(4)

3. [10]

(1)

[10]

[5401]-1002 3 P.T.O.

4. [5]

[15]

5. [5]

(1) Cashier

(2) Eligibility

(3) University

(4) Approval

(5) Deposit

(6) Budget

(7) Rural

(8) Sales Tax.

[5]

[5401]-1002 4

[5401]-1002

G-1 :

80

:— (i)

(ii)

1. [20]

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

(ix)

(x)

[5401]-1002 5 P.T.O.

(xi)

(xii)

(xiii)

True copy

Report.

2. [5]

(i)

(ii)

[5]

[5401]-1002 6

3.

[10]

(i)

(ii)

[10]

I saw that bad handwriting should be regarded as a sign of

imperfect education. I tried later to improve mine, but it was

too late. Let every young man and woman be warned by my

example and understand that good handwriting is a necessary

part of education.

4. [15]

(i)

(ii)

(iii)

[5401]-1002 7 P.T.O.

300

[15]

(i)

(ii)

(iii)

P.T.O.


Seat

No. [5401]-1003


FRENCH (ADVANCED)

(2013 PATTERN)


Note :— 20 marks are reserved for the oral exam.

[5401]-1003 2

e) carême.

[5]

[5401]-1003 3 P.T.O.

[5401]-1003 4

[5401]-1003FRENCH (BEGINNERS)


Note :— 20 marks are reserved for the oral exam.

[5401]-1003 5 P.T.O.

[5401]-1003 6

[5401]-1003 7 P.T.O.

P.T.O.

Total No. of Frages—5+4] [Total No. of Printed Pages—8

Seat

No. [5401]-1004


GERMAN (ADVANCED)

(2013 PATTERN)


Note :— Use of a dictionary is not allowed. This paper carries 60 marks.

10 marks are for Listening Comprehension and 10 marks for

Oral Exam.

[5401]-1004 2

[5401]-1004 3 P.T.O.

[5401]-1004 4

[5401]-1004 5 P.T.O.

[5401]-1004

GERMAN (BASIC)


Note :— All questions are compulsory. Written paper contains 60 marks.

10 marks are for Listening Comprehension and 10 marks for

Oral Exam.

[5401]-1004 6

[5401]-1004 7 P.T.O.

[5401]-1004 8

P.T.O.


Seat

No. [5401]-1006


GUJARATI

(2013 PATTERN)


[5401]-1006 2


[5401]-1007


URDU

General Paper

(Text and Poem)

(2013 PATTERN)


N.B. :—(1) Attempt All questions.

(2) Figures to the left indicate full marks.

(A) Bang-e-Dara.

(B) Chand Hum Asr by Maulvi Abdul Haque.

P.T.O.

Seat No.

2 [5401]-1007

3 [5401]-1007


Seat

No. [5482]-204

PGDIEM (Second Semester) EXAMINATION, 2018

204 : WTO AND INTELLECTUAL PROPERTY RIGHTS

(2013 PATTERN)

Time : Two Hours Maximum Marks : 50


(ii) All questions carry equal marks.

1. Discuss the recent WTO ministerial conference.

Or

Discuss major ministerial decision taken place in the latest WTO

ministerial conference.

2. Describe structure of WTO and different committees under WTO.

Or

Explain basic principle of WTO and benefits of WTO in detail.

3. What is Dispute settlement body and what are the objectives behind

dispute settlement body ?

Or

Discuss Uruguay Round Agreement Act, 1994.

P.T.O.

[5482]-204 2

4. What is agreement related to undisclosed information protection of

trade secrets in India ?

Or

What are the disadvantages of trade secrets WTO trips ?

5. Discuss evolution and development of IPRs at International and National

level International regime of IPR related to .............. (any one of

the following) :

(a) Industrial Property.

Or

(b) Patents.


[5401]-1011


PERSIAN

General Paper I

(2013 PATTERN)


N.B. :—(1) All questions are compulsory.

(2) Figures to the right side indicate full marks.

1. Explain with examples (any five) : [15]

2. Write in detail (any two) : [14]

P.T.O.

Seat No.

3. (A) Reproduce any one story of the following in own simple

Persian : [12]

(B) Write in detail on any two : [16]

4. Explain in Persian or translate and explain in English, Urdu or

Marathi the following couplets (any ten) : [20]

2 [5401]-1011

P.T.O. 3 [5401]-1011

5. (A) Translate the passages into English, Urdu or Marathi

(any two) : [14]

4 [5401]-1011

(B) Translate the unseen English passage in Persian or Urdu or

Marathi : [9]

Since I started the write practice a few years ago, I have been

trying to wrap my head around this question ‘‘How to write a

good story’’. I have read books and asked dozens of authors

and blog posts.

5 [5401]-1011


Seat

No. [5401]-1012


SANSKRIT

G-1 : (Surabharati)

(2013 PATTERN)


80

:— (i)

All questions are compulsory.

(ii)

Figures to the right indicate full marks.

1.

[20]

Translate any two each from Sections ‘A’ and ‘B’ into English or

Marathi :

Section ‘A’

(i)

P.T.O.

[5401]-1012 2

(ii)

(iii)

Section ‘B’

(i)

(ii)

(iii)

[5401]-1012 3 P.T.O.

2. [10]

Explain with reference to the context any one from each Section

‘A’ and Section ‘B’ :

‘A’ Section

(i)

(ii)

‘B’ Section

(i)

(ii)

3. [15]

Write a long answer to any one of the following :

Write an essay on at

(Or)

Appreciate a paragraph

4. [15]

Write a long answer to any one of the following :

Throw light on the character of appearing in the lesson

.

(Or)

Explain views or opinions of and on education

[5401]-1012 4

5. [20]

Write critical notes on any two of the following :

(i)

(ii)

Style of

(iii)

Comparison done by between a man and an actor.

(iv)

Examples given by while advicing


[5401]-1015


ARABIC

General Paper I

(Prose/Poetry/Grammar)

(2013 PATTERN)


1. Translate into English or Urdu or Marathi any two of the following

passages : [20]

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Seat

No.

2. Translate and explain the following poem : [15]

2 [5401]-1015

3. Define and illustrate any two of the following : [10]

4. Write short notes on any two of the following : [15]

5. (A) Translate the following into English (any five) : [10]

P.T.O. 3 [5401]-1015

(B) Translate the following into Arabic (any five) : [10]

(1) No, his college is closed.

(2) He is going to his friend.

(3) There is a student in the class

(4) His office is far from his home

(5) The new teacher is a tall man.

(6) On the window there is curtain.

(7) There is a table in the room.

4 [5401]-1015

P.T.O.


Seat

No. [5401]-1016


ECONOMICS

G-1 : Indian Economy : Problems and Prospects

(2013 PATTERN)




1. Answer the following questions in 100 words each (any four) : [20]

(i) Explain the concept of developing economy.

(ii) Explain the sex composition of Indian population.

(iii) Explain the concept of poverty line.

(iv) Explain the concept of information technology.

(v) Explain the concept of economic planning.

(vi) Explain the concept of water management.

2. Answer the following questions in 200 words each (any two) : [20]

(i) Explain the major issues of development in India.

(ii) Explain the types of unemployment.

(iii) Explain the problems of small scale industries.

(iv) Explain the features of industrial labour.

3. Answer any one of the following questions in 400 words : [20]

(i) Explain the causes and measures of low productivity in Indian

agriculture.

(ii) Explain the salient features of economy of Maharashtra.

[5401]-1016 2

4. Write short notes on (any four) : [20]

(i) Per Capita Income

(ii) Causes of High Birth Rate

(iii) Green Revolution

(iv) Features of Labour

(v) Objectives of economic planning

(vi) Industrial Disputes.

80

:— (i)

(ii)

(iii)

[20]

(i)

(ii)

(iii)

(iv)

(v)

(vi)

[20]

(i)

(ii)

(iii)

(iv)

[5401]-1016 3 P.T.O.

[20]

(i)

(ii)

[20]

(i)

(ii)

(iii)

(iv)

(v)

(vi)

[5401]-1016 4

[5401]-1016G-1 : Agricultural Economics





(i) Explain the concept of Agricultural Economics.

(ii) Explain the concept of Green Revolution.

(iii) Explain the objectives of Special Economic Zone.

(iv) Explain the types of Agricultural Labour.

(v) Explain the importance of Agricultural Finance.

(vi) Explain the objectives of World Trade Organization.


(i) Explain the role of Agriculture in Economic Development.

(ii) Explain the changes in cropping pattern.

(iii) Explain the role of NABARD in Agricultural Finance.

(iv) Explain the methods of irrigation.


(i) Explain causes and measures of low productivity of Agriculture.

(ii) Explain the impact of World Trade organization in Indian

agriculture.


(i) Organic Farming

(ii) Foreign Direct Investment

[5401]-1016 5 P.T.O.

(iii) Co-operative Marketing

(iv) Minimum Wages Act

(v) Micro-Finance

(vi) Patent.

80

:— (i)

(ii)

(iii)

[20]

(i)

(ii)

(iii)

(iv)

(v)

(vi)

[20]

(i)

(ii)

(iii)

(iv)

[20]

(i)

(ii)

[5401]-1016 6

[20]

(i)

(ii)

(iii)

(iv)

(v)

(vi)

P.T.O.


Seat

No. [5401]-1017


POLITICAL SCIENCE

G-1 : Indian Government and Politics

(2013 PATTERN)




1. Attempt any four questions (100 words each) : [20]

(a) State the Economic Directive Principles in Constitution.

(b) Explain the Centre-State Administrative Relations.

(c) Discuss the Legislative Powers of Governor.

(d) Explain the role of Regional Parties in Indian Politics.

(e) Explain the role of religion in Indian Politics.

(f) Explain the importance of Parliamentary government.

2. Attempt any two questions (200 words each) : [20]

(a) Explain the Right to Equality.

(b) Explain the structure, power and functions of Vidhansabha.

(c) Explain the structure and functions of Election Commission.

(d) Discuss the causes of regional imbalance in India.

3. Write any one question (400 words) : [20]

(a) Explain the structure and powers of Supreme Court.

(b) Explain the changing nature of party system in India.

[5401]-1017 2


(a) Election Reforms

(b) OBC Politics

(c) Maharashtra-Karnatak Border Issue

(d) Secular State

(e) State Emergency

(f) Vice President.

80

:— (i)

(ii)

(iii)

[20]

[20]

[5401]-1017 3 P.T.O.

[20]

[20]

[5401]-1017 4

[5401]-1017G-1 : Modern Indian Political Thought




1. Attempt any four questions (in 100 words each) : [20]

(A) Explain Mahatma Phule’s views on Sarvajanik Satyadharma.

(B) Write M.N. Roy’s views on Marxism.

(C) Explain Savarkar’s views on Hindutva.

(D) Explain Mahatma Gandhi’s concept of Sarvodaya.

(E) Write Mahatma Phule’s critique on Brahmanism.

(F) Discuss M.N. Roy’s views on Radical Humanism.

2. Attempt any two questions (in 200 words each) : [20]

(A) Explain Nationalism of Abul Kalam Azad.

(B) Explain Mahatma Gandhi’s views on Ahimsa.

(C) Explain the theory of Nationalism by Lokmanya Tilak.

(D) Explain Savarkar’s views on Religion and Science.

3. Attempt any one question (in 400 words) : [20]

(A) Justice Ranade’s understanding of Indian Poverty.

(B) Discuss Dr. Ambedkar’s views on State Socialism.


(A) Lokmanya Tilak’s views on Swarajya.

(B) Mahatma Phule’s views on Women.

(C) M.N Roy’s critique of Indian Independence Movement.

(D) Savarkar’s understanding of British Rule in India.

(E) Radical Liberalism of Mahatma Phule.

(F) Dr. Ambedkar’s views on State Socialism.

[5401]-1017 5 P.T.O.

80

:— (i)

(ii)

(iii)

[20]

[20]

[20]

[20]

P.T.O.


Seat

No. [5401]-1018


HISTORY

[G-1 : Chhatrapati Shivaji and His Times (1630-1707)]

(2013 PATTERN)





(i) State the importance of Saint literature.

(ii) Explain the concept ‘Mansab’.

(iii) Write a note on Chhatrapati Sambhaji-British relation.

(iv) State in short about ‘Gavgada’.

(v) Write different types of taxes of Chhatrapati Shivaji’s period.

(vi) Describe the types of forts.


(i) Describe the Marathi sources in brief.

(ii) Explain the contribution of Santaji Ghorpade and Dhanaji Jadhav

in Maratha War of Independence.

(iii) Describe briefly status of women during Chhatrapati Shivaji’s

period.

(iv) Describe currency system of Chhatrapati Shivaji’s period.

[5401]-1018 2


(i) Give a detailed account of Chhatrapati Shivaji’s first coronation.

(ii) State the achievements of Chhatrapati Sambhaji.


(i) Swarajya

(ii) Chhatrapati Shivaji-Portuguese relation

(iii) Maharani Tarabai

(iv) Got Sabha

(v) Festivals of Chhatrapati Shivaji’s period

(vi) Trade during Chhatrapati Shivaji’s period.

80

:— (i)

(ii)

(iii)

[20]

(i)

(ii)

(iii)

(iv)

(v)

(vi)

[20]

(i)

(ii)

[5401]-1018 3 P.T.O.

(iii)

(iv)

[20]

(i)

(ii)

[20]

(i)

(ii)

(iii)

(iv)

(v)

(vi)

P.T.O.


Seat

No. [5401]-1019


ANTHROPOLOGY

(G-1 : Introduction to Social and Cultural Anthropology)

(2013 PATTERN)




1. Answer any four of the following questions in 100 words each : [20]

(1) What is Black magic ?

(2) State the functions of Headman.

(3) What is shifting cultivation ?

(4) State the nature of Judiciary among the tribal community.

(5) Describe the forms of kinship.

(6) Explain any two characteristics of Tribal Economy.

2. Answer any two of the following questions in 200 words each : [20]

(1) Write the characteristics of nuclear family.

(2) Explain the various features of culture.

(3) Describe the nature of kinship, behaviour among the Tribes.

(4) Explain the scope of Anthropology.


(1) What is culture ? Explain the various elements of culture.

(2) Explain the theories of origin of Religion.

[5401]-1019 2

4. Write short notes on any four of the following : [20]

(1) Ape-man

(2) Cultural lag

(3) Totem

(4) White magic

(5) Bhagat

(6) Divorce among Adivasi.

80

:— (i)

(ii)

(iii)

[20]

(1)

(2)

(3)

(4)

(5)

(6)

[20]

(1)

(2)

(3)

(4)

[5401]-1019 3 P.T.O.

[20]

(1)

(2)

[20]

(1)

(2)

(3)

(4)

(5)

(6)

P.T.O.


Seat

No. [5401]-1020


GEOGRAPHY (G-1)

(Gg-110 : Elements of Geomorphology)

(2013 PATTERN)




(iii) Draw neat diagrams wherever necessary.

(iv) Use of map stencil is allowed.

1. Answer in 20 words each (any ten) : [20]

(i) Write any two branches of Physical Geography.

(ii) What is International date Line ?

(iii) What is meant by standard time ?

(iv) What is Gutenberg discontinuity ?

(v) Give any two types of folds.

(vi) Define Igneous rock.

(vii) What is fault ?

(viii) Define Earthquake.

(ix) Write the types of weathering.

(x) Write the types of mass wasting.

(xi) Define slope.

(xii) Write any two methods of watershed management.

(xiii) Write any two landforms which are surrounded by your area.

[5401]-1020 2

2. Answer in 50 words each (any two) : [10]

(i) Define scope of Geomorphology.

(ii) Write the properties of sedimentary rock.

(iii) Terraced and rectilinear slope.

(iv) Write the causes of Earthquake.


(i) Write in detail of faulting.

(ii) Explain the types of intrusive Igneous rock.

(iii) Write in detail chemical weathering.

(iv) Describe debris flow and mud flow.


(i) Describe in detail Wegner’s continental drift theory.

(ii) Explain the interior of the Earth with diagram.

(iii) Describe the landforms associated with erosional work of river.

(iv) Elaborate the application of applied geomorphology in landuse

and mining.

80

:— (i)

(ii)

(iii)

(iv)

(v)

[20]

(i)

[5401]-1020 3 P.T.O.

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

(ix)

(x)

(xi)

(xii)

(xiii)

[10]

(i)

(ii)

(iii)

(iv)

[20]

(i)

(ii)

(iii)

(iv)

[30]

(i)

(ii)

(iii)

(iv)

Total No. of Questions—7+6+7] [Total No. of Printed Pages—5

Seat

No. [5401]-1021


MUSIC

(2013 PATTERN)

20

:— (i)

(ii)

(iii)

1.

2.

3.

4.

(1)

(2)

P.T.O.

[5401]-1021 2

(3)

(4)

(5)

(6)

(7)

5.

(1)

(2)

(3)

(4)

6.

(1)

(2)

(3)

7.

[5401]-1021 3 P.T.O.

[5401]-1021

20

:— (i)

(ii)

(iii)

1.

2.

3.

4.

(1)

(2)

(3)

5.

(1)

(2)

6.

[5401]-1021 4

[5401]-1021

20

:— (i)

(ii)

(iii)

1.

2.

3.

4.

(1)

(2)

(3)

(4)

(5)

(6)

(7)

5.

(1)

[5401]-1021 5 P.T.O.

(2)

(3)

(4)

6.

(1)

(2)

(3)

7.

(1)

(2)

(3)

P.T.O.


Seat

No. [5401]-1022


PUBLIC ADMINISTRATION

G-1 : Principles of Public Administration

(2013 PATTERN)





(i) Meaning of Public Administration.

(ii) Liberal Democratic Approach.

(iii) Principles of Hierarchy.

(iv) Principles of Communication.

(v) Importance of Training.

(vi) Staff Agencies.


(i) Importance of Bureaucracy.

(ii) Presidential Chief Executive.

(iii) Importance of Budget.

(iv) Principle of Decision making.

3. Answer the following questions in 400 words (any one) : [20]

(i) Write the bases of Departmentalization.

(ii) Explain Budgetary Process in India.

[5401]-1022 2


(i) Importance of Public Administration

(ii) Private Administration

(iii) Principle of Co-ordination

(iv) Recruitment

(v) Legislative Control over Public Administration

(vi) Importance of Promotion.

80

:— (i)

(ii)

[20]

(i)

(ii)

(iii)

(iv)

(v)

(vi)

[20]

(i)

(ii)

(iii)

(iv)

[5401]-1022 3 P.T.O.

[20]

(i)

(ii)

[20]

(i)

(ii)

(iii)

(iv)

(v)

(vi)

P.T.O.


Seat

No. [5401]-1023


PSYCHOLOGY

G-1 : General Psychology

(2013 PATTERN)




(iii) Draw neat diagrams wherever necessary.


(i) Explain parasympathetic division.

(ii) Explain concept of Habituation.

(iii) Explain source of Frustration.

(iv) Explain Minnesota Multiphasic Personality Inventory.

(v) Explain the concept Mental Retardation.

(vi) Explain the concept of Wechsler Intelligence scale.


(i) Explain the structure and functions of neuron.

(ii) Describe the humanistic theories of Maslow.

(iii) Define Emotion. Explain the effect of positive emotion on health.

(iv) Define Personality. Explain the misconceptions of personality.


(i) Define Psychology. Discuss various study methods of Psychology.

(ii) What is Memory ? Explain the memory improvement technique.

[5401]-1023 2


(i) Neurotransmitters

(ii) Types of Attention

(iii) Illusions

(iv) Fear

(v) Educational Psychology

(vi) Six thinking hats technique.

80

:— (i)

(ii)

(iii)

(iv)

[20]

(i)

(ii)

(iii)

(iv)

(v)

(vi)

[20]

(i)

(ii)

(iii)

(iv)

[5401]-1023 3 P.T.O.

[20]

(i)

(ii)

[20]

(i)

(ii)

(iii)

(iv)

(v)

(vi)

P.T.O.


Seat

No. [5401]-1024


GANDHIAN THOUGHT (G-1)

(G-1 : Introduction to Gandhian Thought)

(2013 PATTERN)





(1) Explain in brief Gandhiji’s idea of Non-Cooperation.

(2) Briefly illustrate Gandhiji’s role as a political leader.

(3) Explain in short Gandhiji’s idea of Fearlessness.

(4) State impact of Ruskin on Gandhiji.

(5) Explain briefly Gandhiji’s Champaranya Satyagraha.

(6) Briefly illustrate Gandhiji’s idea of Truth.


(1) Explain the importance of Gandhiji’s concept of ‘‘Sarvadharma-

samabhava’’.

(2) ‘‘Gandhiji : A Social Reformer.’’ Explain it.

(3) Explain and critically evaluate Gandhiji’s doctrine of Sarvodaya.

(4) Bring out the importance of Gandhiji’s Ekadashvrata.

[5401]-1024 2


(1) Explain and bring out the importance of Gandhiji’s idea of

ideal society.

(2) Bring out the characteristics of Ideal Satyagrahi, according to

Gandhiji.


(1) Jaina impact on Gandhiji

(2) Civil Disobedience : A way of Satyagraha

(3) Gandhiji’s Dandi Yatra

(4) Gandhiji : A Spiritual Revolutionary

(5) Gandhiji : Consistency between word and action

(6) Gandhiji’s concept of Religion.

80

:— (i)

(ii)

(iii)

[20]

(1)

(2)

(3)

(4)

(5)

(6)

[5401]-1024 3 P.T.O.

[20]

(1)

(2)

(3)

(4)

[20]

(1)

(2)

[20]

(1)

(2)

(3)

(4)

(5)

(6)

P.T.O.


Seat

No. [5401]-1025


YOGA

G-1 : Yogvidya

(2013 PATTERN)




1. Explain any one of the following in 50 words : [5]

(1) Importance and types of Asanas

(2) Importance of Rajyoga

2. Write short notes on any two of the following : [10]

(1) Klesha

(2) Chittavritti

(3) Halasan

(4) Anulom Vilom Pranayam

3. Answer any two questions from the following in 200 to 250 words

each : [15]

(1) Explain uses of Yoga in modern age.

(2) Explain, why Yoga Day is celebrated at 21st of June.

(3) Explain Pratyahar.

4. Attempt any one question in detail : [10]

(1) Explain different systems of Yoga in detail.

(2) Explain Yogsutra of Patanjali in detail.

[5401]-1025 2

40

:— (i)

(ii)

(iii)

[5]

(1)

(2)

[10]

(1)

(2)

(3)

(4)

[15]

(1)

(2)

(3)

[10]

(1)

(2)

P.T.O.


Seat

No. [5401]-1026


HISTORY OF CIVILIZATION—CULTURAL HISTORY OF

MAHARASHTRA (UPTO 13th CENTURY)

General Paper—I

(2013 PATTERN)





(1) Explain the features of the Maharashtra.

(2) Examine the importance of Ancient Marathi inscriptions.

(3) Explain the philosophy of Bhakti cult.

(4) What do you know about proto-history ?

(5) Explain in brief the Apabramsha literature.

(6) Write in short about Vakatak dynasty.


(1) Discuss the economic life of Rashtrakuta period.

(2) Describe the Jain Agam Literature.

(3) Give an account of internal trade in Maharashtra.

(4) Write the importance of fairs and festivals in Maharashtra.


(1) Describe caves, paintings and temples as a source of History

with examples.

(2) Explain the term Civilization and drescribe the salient features

of Ancient Civilization of Maharashtra.

[5401]-1026 2


(1) Satavahan ruler Gautamiputra Satkarni

(2) Temples of Yadav period

(3) Folk Art in Maharashtra

(4) Expansion of Megalithic Culture

(5) Philosophy and teaching of Varkari Sect

(6) Music in Maharashtra.

80

:— (i)

(ii)

[20]

(1)

(2)

(3)

(4)

(5)

(6)

[20]

(1)

(2)

(3)

(4)

[5401]-1026 3 P.T.O.

[20]

(1)

(2)

[20]

(1)

(2)

(3)

(4)

(5)

(6)

P.T.O.


Seat

No. [5401]-1027


HOME ECONOMICS

(G-1 : Household and General Economics)

(2013 PATTERN)



(ii) Diagrams must be drawn wherever necessary.

(iii) Figures to the right indicate full marks.


(1) Explain the features of Economics Law.

(2) Explain the types of Price Elasticity of Demand.

(3) State the sources of Family Income.

(4) Explain the Basic Economics problems.

(5) Explain the problems of Home Management.

(6) Explain the importance of House Planning.


(1) Explain the law of supply with suitable example.

(2) Explain the functions of Money.

(3) Explain the steps of Home Management.

(4) Explain the factors which affect Decision-Making Process.


(1) Explain the functions of Commercial Banks.

(2) Explain the elements of interior and exterior Home Decoration.

[5401]-1027 2


(1) Market Mechanism

(2) Account keeping

(3) Inflation

(4) Family Budget

(5) Values and Goals

(6) Poverty.

80

:— (i)

(ii)

(iii)

(iv)

[20]

(1)

(2)

(3)

(4)

(5)

(6)

[20]

(1)

(2)

(3)

(4)

[5401]-1027 3 P.T.O.

[20]

(1)

(2)

[20]

(1)

(2)

(3)

(4)

(5)

(6)

P.T.O.

Total No. of Questions—4+4+4] [Total No. of Printed Pages—9

Seat

No. [5401]-1028


DEFENCE AND STRATEGIC STUDIES

D.S.G.-1 (A) : Defence Mechanism of India

(2013 PATTERN)





(i) State the functions of the Defence Committee of the Cabinet.

(ii) What is the role of Coastguard ?

(iii) State the limitations of Engineers.

(iv) What is the role of Chiefs of Staff Committee ?

(v) State the role of A.M.C.

(vi) What are the characteristics of Indian Airforce ?


(i) Trace the growth of Indian Airforce since 1947.

(ii) Explain the principles of Defence Organisation.

(iii) What are the characteristics and role of Infantry ?

(iv) State the characteristics and limitations of Indian Navy.


(i) Explain with the help of chart the organization of Army Head-

quarters ?

(ii) What are the characteristics, role and limitation of the Artillery ?

[5401]-1028 2


(i) Border Security Force

(ii) Characteristics of Signales

(iii) Role of Indian Airforce

(iv) Role of Armoured Corps

(v) A.S.C.

(vi) Principles of Intelligence.

80

:— (i)

(ii)

[20]

(i)

(ii)

(iii)

(iv)

(v)

(vi)

[20]

(i)

(ii)

(iii)

(iv)

[5401]-1028 3 P.T.O.

[20]

(i)

(ii)

[20]

(i)

(ii)

(iii)

(iv)

(v)

(vi)

[5401]-1028 4

[5401]-1028

D.S.G-1 (B) : Military Thinkers in 19th Century





(1) State the strategic thought of B.H. Liddle Hart.

(2) Explain the thought of Mao Zedong regarding Guerrilla tactics.

(3) State the strategic thought of Marshal Foch.

(4) State the Douhet’s theory of air power.

(5) State the Lenin’s concept of revolutionary war.

(6) Explain the military thought of H.V. Moltke.


(1) Explain the Admiral A.T. Mahan’s theory of sea power.

(2) Explain the Mackinder’s Heart-Land theory.

(3) State the thought of Fuller regarding role of Armoured Corps.

(4) Explain the Schlieffen plan.


(1) Describe the Jomini’s principles of war.

(2) State the thought of Che-Guevara about Guerrilla warfare.

[5401]-1028 5 P.T.O.


(1) General Douhet

(2) Lenin

(3) Mackinder

(4) A.T. Mahan

(5) Che Guevara

(6) Mao Zedong.

80

:— (i)

(ii)

[20]

(1)

(2)

(3)

(4)

(5)

(6)

[20]

(1)

(2)

(3)

(4)

[5401]-1028 6

[20]

(1)

(2)

[20]

(1)

(2)

(3)

(4)

(5)

(6)

[5401]-1028 7 P.T.O.

[5401]-1028

DSG-1 (C) : Post Cold War India’s Security Environment





(1) State the characteristics of Globalization.

(2) Explain the effects of Deforestation.

(3) What is Human Rights ?

(4) Explain the characteristics of Terrorism.

(5) What are the objectives of Emergence of New Economic Order ?

(6) State the functions of European Union.


(1) Describe the merits and demerits of Globalization.

(2) What are the non-military challenges of India’s security ? Explain.

(3) Explain the nature and effects of Terrorism.

(4) Describe the India’s efforts to become super power.

3. Answer the following questions in 400 words each (any one) : [20]

(1) What are the India’s Internal Security challenges ? Discuss.

(2) Describe the details of World Trade Organisation (WTO).

[5401]-1028 8


(1) Impacts of Globalization

(2) Naxalism

(3) Human Security

(4) Counter Terrorism

(5) New International Economic Order (N.I.E.O.)

(6) N.C.T.C.

80

:— (i)

(ii)

[20]

(1)

(2)

(3)

(4)

(5)

(6)

[20]

(1)

(2)

(3)

(4)

[5401]-1028 9 P.T.O.

[20]

(1)

(2)

[20]

(1)

(2)

(3)

(4)

(5)

(6)

P.T.O.


Seat

No. [5401]-1029


SOCIAL WORK

Social Reform Movements in India

Introduction to Social Welfare and Social Services

(2013 PATTERN)




1. Write an essay on origin and development of social services in India

during pre-British period. [16]

Or

State the activities of Arya Samaj.

2. Discuss the Antyodaya Movement. [16]

Or

State the social services for handicapped.

3. State the planned provisions for social services for OBCs in

India. [16]

Or

Discuss the social reform movements by Mahatma Gandhi.

4. Discuss the social reform movement in India in post-independence

period. [16]

Or

State work of Raja Ram Mohan Roy.

[5401]-1029 2

5. Write short notes on (any two) : [16]

(1) Work for removal of untouchability by Mahatma Gandhi

(2) Educational work by Ramkrishna Mission

(3) Social Welfare and Social Work

(4) Problems of unorganised workers.

80

:— (i)

(ii)

(iii)

[16]

[16]

[16]

[16]

[5401]-1029 3 P.T.O.

[16]

(1)

P.T.O.


Seat

No. [5401]-1030


MATHEMATICAL STATISTICS

(Discrete Probability and Probability Distributions)

(2013 PATTERN)




(iii) Use of statistical tables and calculator is allowed.

(iv) Symbols have their usual meaning.

(v) Graph paper will be supplied on request.

1. Attempt each of the following :

(a) State whether each of the following statements is true or

false : [1 each]

(i) Variance of a random variable is never negative.

(ii) Geometric distribution satisfies additive property.

(iii) Mode of a random variable X is the maximum value that

X takes.

(iv) Bayes’ theorem is used to calculate posterior probabilities

of events.

(b) Choose the correct alternative in the following : [1 each]

(i) If A and B are independent events with P(A) = 0.4,

P(B) = 0.5, and P(A� � B) is :

(A) 0.03

(B) 0.9

(C) 0.1

(D) 0.3

[5401]-1030 2

(ii) If X and Y are two discrete random variables, then the

conditional distribution of X given Y = yj is the same

as :

(A) the marginal distribution of Y

(B) the marginal distribution of X

(C) joint distribution of X

(D) the conditional distribution of Y given X = xi

(iii) If X is the number of candidates required to interview

for the post of an officer, then X follows :

(A) Binomial distribution

(B) Bernoulli distribution

(C) Poisson distribution

(D) Geometric distribution

(iv) If P(A) = P(B), then the two events are :

(A) Dependent

(B) Independent

(C) Equally likely

(D) Both (B) and (C)

(c) Answer in brief : [2 each]

(i) Explain probability model.

(ii) Define joint distribution function of two-dimensional discrete

random variable.

(iii) State the p.m.f. of negative binomial distribution. State

its mean and variance.

(iv) A pair of fair dice is rolled. If the sum of 8 has appeared,

find the probability that one of the dice shows 3.

[5401]-1030 3 P.T.O.

2. Attempt any four of the following : [4×4=16]

(a) Let X and Y be independent discrete uniform random variables

with parameter n. Obtain the distribution of Z = X + Y.

(b) Two fruits are to be selected at random from 4 mangoes,

2 oranges and 3 apples. Let X and Y denote respectively the

mangoes and oranges selected. Obtain the joint probability

distribution of (X, Y).

(c) Define geometric distribution. Hence derive M.G.F. of geometric

distribution with parameter p.

(d) Define cumulant generating function (C.G.F.) of r.v. X. State

the properties of C.G.F.

(e) Find the probability of drawing an ace, a king and a queen

in this order from a pack of 52 playing cards. The cards are

not replaced back to the pack.

(f) Explain classical definition of probability. State its limitations.


(a) Number of road accidents on a highway during a month follows

a Poisson distribution with mean 5. Find the probability that

in a certain month number of accidents on the highway will

be (i) less than 3 (ii) between 3 and 5.

(b) State and prove the multiplication theorem for two events A

and B defined on a sample space �.

[5401]-1030 4

(c) A random variable X has the following probability distribution :

X P(X)

0 k

1 3k

2 5k

3 7k

4 9k

5 11k

6 13k

(i) Find k.

(ii) Find P(X � 2).

(iii) What is the distribution function of X ?

(d) A man rolls a fair die repeatedly until he gets a number

which is a perfect square. Calculate the probability that he

will require 5 throws.

(e) The joint p.m.f. of (X, Y) is :

P(X, Y) = 2 3

72

x y�; x = 0, 1, 2, y = 1, 2, 3.

Find (i) Marginal p.m.f. of X and Y (ii) Conditional p.m.f.

of Y given X = 1.

(f) Show that all raw moments of Bernoulli (p) r.v. are equal

to p.

4. Attempt any two of the following : [2×8=16]

(a) Define hypergeometric distribution. Find the rth factorial

moment of hypergeometric distribution with parameter N,

M and n.

[5401]-1030 5 P.T.O.

(b) From the following joint probability distribution of (X, Y) compute

cov(3X, 6Y) :

X Y

–2 –1 0 1

1 1/24 1/12 1/12 1/24

2 1/12 1/6 1/6 1/12

3 1/24 1/12 1/12 1/24

(c) State and prove Bayes’ theorem.

(d) Let X � b(n1, p) and Y � b(n2, p) and X and Y are independent.

Obtain the conditional distribution of X given X + Y. Identify

the distribution.

5. Attempt any one of the following : [1×16=16]

(a) (i) With usual notations prove that for a binomial distribution

mean > variance. [10]

(ii) Bag I contains 6 blue and 4 red balls. Bag II contains

2 blue and 6 red balls. Bag III contains 1 blue and

8 red balls.

(I) A bag is chosen at random; a ball is drawn randomly

from this bag. It turns out to be blue. Find the

probability that bag I was chosen.

(II) A bag is chosen random; two balls are drawn without

replacement from this bag. Both the balls were blue.

Find the probability that bag II was chosen. [6]

[5401]-1030 6

(b) (i) Suppose X and Y are two discrete random variables

with joint probability distribution {(Xi, Yj, Pij);

i = 1, 2, ....., m; j = 1, 2, ....., n}.

Prove that :

(I) E(X + Y) = E(X) + E(Y)

(II) E(XY) = E(X) E(Y); if X and Y are independent.

[9]

(ii) If X and Y are independent Poisson random variables

with means m1 and m2 respectively, then find the conditional

probability distribution of X given X + Y. [7]


Seat

No. [5401]-1031


OPTIONAL ENGLISH

General Paper 1

Text :— Interface (English Literature and Language)

(2013 PATTERN)




1. Answer the following questions in about 70 words each

(any three) : [12]

(a) Write a note on the character sketch of Kalam’s father.

(b) Why does R.K. Narayan call his essay — ‘Toasted English’ ?

(c) Examine Harvey Maxwell as a typical broker.

(d) Explain the theme of the story — ‘A Day’s Wait’.

(e) Comment on the end of the story — ‘A Day’s Wait’.

2. (a) Answer the following questions in about 70 words each

(any three) : [12]

(i) Explain the features of Sonnet with special reference to

‘Sonnet 29’.

P.T.O.

[5401]-1031 2

(ii) Illustrate the aptness of the title — ‘The World is Too

Much With Us’.

(iii) Explain the central idea of the poem — ‘The Listeners’.

(iv) Explain in your own words the theme of the poem —

‘No Men are Foreign’.

(b) Write short notes on the following (any two) : [6]

(i) Language is species specific

(ii) Phatic function of language

(iii) Informative function of language

(iv) Speech : A Primary Means of Communication.

3. Answer the following questions in about 100 words each (any

two) : [12]

(a) Explain the theme of the story — ‘Upper Division Love’.

(b) Comment on the typical and crazy nature of the narrator in

the story — ‘Upper Division Love’.

(c) Write a note on the character sketch of Nene.

(d) How does Chinua Achebe explore the complexities of

human relationships through the story — ‘Marriage is a Private

Affair’ ? Explain.


(any two) : [12]

(a) Comment on the poem — ‘The Sun Rising’ as an emotional

lyric.

[5401]-1031 3 P.T.O.

(b) How does the poem ‘The Road Not Taken’ deal with the

difficulty of choices in human-life ?

(c) Examine ‘The Ballad of the Landlord’ as a reflective poem.

(d) Comment on the title of the poem — ‘The Mountain and the

Squirrel’.


(any two) : [12]

(a) Attempt the character sketch of Mother in ‘Lithuania’.

(b) Explain the tragic element in ‘Lithuania’.

(c) Bring out the significance of the title — ‘The Swan Song’.

(d) Examine Vasili Svietlovidoff as the protagonist of the play

— ‘The Swan Song’.

6. (a) Write a short note in about 50 words (any one) : [4]

(i) The concept of Phoneme

(ii) The concept of Syllable.

(b) (i) Identify the number of phonemes in the following words

(any two) : [2]

(1) Meat

(2) Gun

(3) Sold

(4) Fate.

[5401]-1031 4

(ii) Identify the structure of the following words in terms

of C and V (any four) : [4]

(1) To

(2) Guest

(3) Slim

(4) Call

(5) Kite

(6) Fine.

(iii) Identify the vowels in the following words

(any four) : [4]

(1) Met

(2) Light

(3) Curve

(4) Fair

(5) Card

(6) Fear.

P.T.O.


Seat

No. [5401]-1033


COMMERCE (G-1)

(Organisation of Commerce)

(2013 PATTERN)





(i) Define the term ‘Business’.

(ii) Meaning of ‘Retail Trade’.

(iii) Define the term ‘Internet’.

(iv) Define the term Marketing.

(v) Give the meaning of Sea Transport.

2. Answer in 100 words each (any four) : [20]

(i) Explain the importance of Commerce.

(ii) Discuss evolution of marketing.

(iii) Explain the functions of money.

(iv) Explain the elements of marketing.

(v) Explain the functions of storage.

(vi) Explain the advantages of Water Transport.

[5401]-1033 2

3. Answer in 250 words each (any three) : [30]

(i) Explain the elements of marketing mix.

(ii) Explain the services of wholesaler.

(iii) Explain the elements of marketing.

(iv) Explain the functions of Advertising.

(v) Explain the social aspects of Advertising.

4. Answer any one in 500 words : [20]

(i) What is Internal Trade ? Explain the functions and importance

of Internal Trade.

(ii) Explain the nature and media of Advertising.

80

:— (i)

(ii)

1. [10]

(i)

(ii)

(iii)

(iv)

(v)

[5401]-1033 3 P.T.O.

2. [20]

(i)

(ii)

(iii)

(iv)

(v)

(vi)

3. [30]

(i)

(ii)

(iii)

(iv)

(v)

4. [20]

(i)

(ii)


Seat

No. [5401]-1034


G-1 : EDUCATION

(2013 PATTERN)





(1) What are the 10 core elements stated in National Education

Policy (1986) ?

(2) Explain the nature of formal education.

(3) Explain the ‘earn and learn’ scheme stated by Karmveer Bhaurao,

Patil.

(4) Write the educational work of Montessori.

(5) Write the limitations of introspection method.

(6) Explain the concept of value education.


(1) Explain the role of education in Economical development.

(2) Explain the educational thoughts of Swami Vivekananda.

(3) Explain the role of school in value development.

(4) Explain the advantages and limitations of experimental

method.

P.T.O.

[5401]-1034 2


(1) What are the obstacles in the expansion of primary

education ? Suggest the remedies to overcome these.

(2) What is mass communication media ? Explain the role of Television

in Education.

4. Write short notes in 50 words each (any four) : [20]

(1) Vishwabharati

(2) Informal education

(3) Nature of education in Ancient India

(4) Role of Education in Social Development

(5) Limitations of Observation method

(6) Characteristics of education process.

80

:— (i)

(ii)

1. 100 [20]

(1) 1986 10

(2)

(3)

(4)

(5)

(6)

[5401]-1034 3 P.T.O.

2. 200 [20]

(1)

(2)

(3)

(4)

3. 400 [20]

(1)

(2)

4. 50 [20]

(1)

(2)

(3)

(4)

(5)

(6)

[5401]-1034 4

[5401]-1034

G-1 : EDUCATION




1. Write the answers of the following questions in 100 words each

(any four) : [20]

(1) Write the scope of Educational Psychology.

(2) Write the objectives of pre-primary education.

(3) Explain the concept of ‘earn and learn’ scheme.

(4) Explain the importance of Adult Education.

(5) Explain the importance of Health Education.

(6) Write the objectives of education stated in National Education

Policy (1986).

2. Write the answers of the following questions in 200 words each

(any two) : [20]

(1) Explain the education philosophy of Maharshi Karve.

(2) Explain the importance of Television in Education.

(3) What is family ? Explain the educational role of family.

(4) Explain the difference between formal and non-formal education.


(1) Explain in detail the educational work of Mahatma Jyotirao

Phule.

(2) What are the problems in primary education ? Suggest remedies

to overcome these problems.

[5401]-1034 5 P.T.O.

4. Write short notes in 50 words each (any four) : [20]

(1) Characteristics of educational process

(2) Merits of experimental method

(3) Educational importance of press

(4) Nature of education in Ancient India

(5) Importance of value education

(6) Limitations of Introspection method.

80

:— (i)

(ii)

1. 100 [20]

(1)

(2)

(3)

(4)

(5)

(6) 1986

2. 200 [20]

(1)

(2)

(3)

(4)

3. 400 [20]

(1)

(2)

[5401]-1034 6

4. 50 [20]

(1)

(2)

(3)

(4)

(5)

(6)

P.T.O.


Seat

No. [5401]-1035


INDUSTRIAL MATHEMATICS

FMG-1 : Industrial Mathematics

(2013 PATTERN)




(iii) Use of calculator is allowed.

1. Attempt any eight of the following : [16]

(a) Evaluate :

2

2

3 7lim .

4 21x

x x

x� �

�

�

(b) Draw the graphs of y = –1

4x + 3 and y = x2.

(c) If f(x) = (8x – 4)3, then find f ��(0).

(d) Find critical values of the function :

y = –2x3 + 15x2 + 84x – 25.

(e) Find (A · B)2 if

1 0

1 2 3

A = , B = 0 1 .

4 5 6

4 0

� ��

[5401]-1035 2

(f) Find corner points of the region which is bounded by

x + y � 4, y � 2, x � 0, y � 0.

(g) Evaluate :

5/2 1 .x dx� �

(h) Define the terms : ‘Marginal Revenue’ and ‘Marginal Cost’.

(i) Find A2 + 2A + I, if

2 1 1 0

A = , I = .

0 2 0 1

� � � ��

(j) Find Marginal Cost if Total Cost (TC) = 3Q2 + 7Q + 12.

2. Attempt any four of the following : [16]

(a) Evaluate the following limits :

(i) 3

2lim 6 1

xx

�

(ii)2

4

3 12lim .

3x

x x

x�

�

(b) Discuss the continuity of the function f(x) at x = 3 where :

f(x) = 2

3

9

x

x

�

�if x � 3

= 10 if x = 3.

(c) Find dy

dx if

7x4 + 3x3y + 9xy2 = 496.

[5401]-1035 3 P.T.O.

(d) Test to see the following functions are concave or convex

at x = 3 :

(i) y = –2x3 + 4x2 + 9x – 15

(ii) y = (5x2 – 8)2.

(e) Test to see whether the following function is increasing, decreasing

or stationary at x = 4. Also find its critical points :

f(x) = 3x2 – 14x + 5.

(f) Prove that Marginal Cost (MC) must equal Marginal Revenue

(MR) at the profit-maximizing level of output.

3. Attempt any two of the following : [16]

(a) From each of the following total cost functions (TC) find

(I) the average cost (AC) function, (II) the critical value

at which AC is minimized and (III) the minimum average

cost :

(i) TC = Q3 – 5Q2 + 60Q

(ii) TC = Q3 – 21Q2 + 500Q.

(b) Given f(x) = ( )

( )

g x

h x with h(x) � 0, where g�(x) and h�(x) both

exist, prove that :

2

( ) · ( ) ( ) · ( )( ) .

[ ( )]

h x g x g x h xf x

h x

��

Hence show that :

2

1 ( ).

( ) ( )

d h x

dx h x h x

� ��

[5401]-1035 4

(c) Use implicit differentiation to find dy

dx for the following

functions :

(i) 7x4 + 3x3y + 9xy2 = 496

(ii) (2x3 + 7y)2 = x5

(iii) x3y2 = 1.


(a) Find AB and A2 if

4 7 3 8 5

A = , B = .

9 1 2 6 7

� � � ��

(b) Solve the following system of equations by using Gauss

elimination method :

4x1 + 3x2 = 28; 2x1 + 5x2 = 42.

(c) Evaluate :

2 2 .xx e dx�(d) Find the total revenue function and the demand function, given

that MR = 84 – 4Q – Q2.

(e) Using the substitution method, evaluate the following definite

integral :

2 2

230

3.

1

xdx

x �

[5401]-1035 5 P.T.O.

(f) Solve the following Linear Programming Problem :

Maximize : Z = 30x1 + 20x2

Subject to : 2x1 + x2 � 8

x1 + 2x2 � 8

x1 � 0, x2 � 0


(a) Verify associative and distributive laws by applying to the

matrices A, B and C where :

0 2 2 3 0 0

A = , B = , C = .

3 4 0 1 2 4

��

(b) (i) The rate of net investment is I = 60t1/3, and capital

stock at t = 1 is 85. Find capital function K.

(ii) Given MC = 32 + 18Q – 12Q2 and FC = 43, find TC.

(c) Draw the feasible region R bounded by the constraints :

x1 + x2 � 4

x1 + 2x2 � 4

x1 � 3

x2 � 1

x1 � 0, x2 � 0

Hence find critical (corner) points and minimum value of

5x1 – 10x2 over the region R.

P.T.O.


Seat

No. [5401]-1036


PHYSICAL EDUCATION

(2013 PATTERN)




(iii) Draw the diagrams wherever necessary.

1. Answer the following in 50 words each (any two) : [5]

(A) Define physical education and meaning of physical education.

(B) Explain sport medicine’s meaning and nature.

(C) Prepare a knock-out fixture of 13 teams.

2. Answer the following in 100 words each (any two) : [10]

(A) Explain the concept of physical education and write its importance

in human life.

(B) How do you maintain a ground for sports competition ?

(C) Importance of first aid and its nature in detail.

3. Answer the following in 200-250 words each (any two) : [15]

(A) List the skills of Kabaddi and explain any one in detail.

(B) What do you mean by Recreational games and state its importance

in sports ?

(C) Explain the principle of exercise.

[5401]-1036 2

4. Answer the following in 500 words (any one) : [10]

(A) Draw a neat diagram of Volleyball ground and explain

fundamental rules in Volleyball.

(B) Write the importance of physical education in health aspect.

40

:— (i)

(ii)

(iii)

[5]

[10]

[15]

( )

( )

[5401]-1036 3 P.T.O.

[10]

P.T.O.


Seat

No. [5401]-1037


MATHEMATICS

MG-1 : Algebra and Geometry

(2013 PATTERN)





(a) Define partition of a non-empty set X.

(b) Find the rank of the following matrix A :

1 2

A = .

3 4

� ��

(c) State factor theorem for polynomials.

(d) Write down the multiplication table of *5Z .

(e) Prove that if n is odd, then n2 – 1 is divisible by 8.

(f) Find the centre of the conic given by :

x2 – 4xy – 2y2 + 10x + 4y = 0.

(g) Define a right circular cone.

(h) Obtain the equation of the sphere described on the join of

A(2, –3, 4), B(–5, 6, –7) as diameter.

(i) Find the direction cosines of a line which is equally inclined

with the coordinate axes.

(j) Define skew lines.

[5401]-1037 2


(a) List all integers x in the range 1 � x � 100 that satisfy

x � 7 mod 17.

(b) State and prove Euclid’s lemma.

(c) State and prove Remainder theorem for polynomials.

(d) Solve the following system of linear equations by Gauss

elimination method :

2x + y + z = 10

3x + 2y + 3z = 18

x + 4y + 9z = 16.

(e) Solve the equation :

8x3 – 36x2 + 46x – 15 = 0,

given that the roots are in A.P.

(f) For any integer x, show that (a, b) = (a, b + ax).


(a) State and prove Division Algorithm for integers.

(b) Find g.c.d. of 3997 and 2947 and express it in the form

3997m + 2947n where m, n Z.

(c) Verify Cayley Hamilton theorem for the matrix :

1 1 3

A = 1 3 3 .

2 4 4

� ��

[5401]-1037 3 P.T.O.


(a) Find the angle � through which the axes should be

rotated so that the transformed form of the expression

ax2 + 2hxy + by2 is free from the product term.

(b) Find the equation of the tangent plane for the standard

sphere x2 + y2 + z2 = a2.

(c) If �, , � are the angles made by a line with the positive

directions of the coordinate axes, then prove that :

cos2 � + cos2 + cos2 � = 1.

(d) Find the shortest distance between the lines :

3 5 7

1 2 1

x y z � �

and

1 1 1.

7 6 1

x y z� � ��

(e) Find the equation of the cone whose vertex is at the origin

and the guiding curve is :

x2 + y2 + z2 + 2ux + d = 0,

lx + my + nz = p.

(f) Find the centre and radius of the circle of intersection

of :

x2 + y2 + z2 – 2y – 4z – 11 = 0 and

x + 2y + 2z = 15.

[5401]-1037 4


(a) Find the equation of the cylinder having generators parallel

to the line :

x y z

l m n� �

and guiding curve is the conic :

ax2 + 2hxy + by2 + 2gx + 2fy + c = 0, z = 0.

(b) Reduce the equation :

3x2 + 2xy + 3y2 – 4x + 2y + 1 = 0

to the standard form and name the conic.

(c) Find the angle between two lines whose direction cosines

are connected by the relations l + 2m – 2n = 0,

3lm – ln – mn = 0.


Seat

No. [5401]-1038


STATISTICAL PREREQUISITES

(2013 PATTERN)




(iii) Calculators and statistical table are allowed.

(iv) Symbols and abbreviations have their usual meanings.


(a) State whether each of the following statements is true or

false : [1 each]

(i) Mean can be determined graphically using histogram.

(ii) The frequency curve of income distribution is symmetric.

(iii) Index numbers lies between 0 to 100.

(iv) The correlation coefficient (r) between two variables x

and y is always between –1 and +1.

P.T.O.

[5401]-1038 2

(b) Choose correct alternative : [1 each]

(i) Which one of the following measure of dispersion ignores

the signs of deviations from a central value ?

(A) Quartile deviation (B) Standard deviation

(C) Range (D) Mean deviation

(ii) If x and y are independent variables, then corr (x, y)

is :

(A) 0 (B) 1

(C) –1 (D) 2

(iii) The total number of classes of all orders for three attributes

is equal to :

(A) Eight (B) Twenty seven

(C) Nine (D) Thirty

(iv) If the first order moment about 5 is 2, then mean

is :

(A) 5 (B) 2

(C) 7 (D) None of these

(c) Answer in brief : [2 each]

(i) Define Fisher’s price index number.

(ii) Explain the term ‘Cumulative frequency more than type.’

(iii) Define bivariate data with illustration.

(iv) State any two limitations of sampling over census.

[5401]-1038 3 P.T.O.


(a) Calculate coefficient of variation for the series :

12, 18, 15, 20, 16.

(b) Define rth raw moment (m'r) and rth central moment (mr)

for series of individual observations. State the result for effect

of change of origin and scale on mr.

(c) Examine whether the following data are consistent :

N = 100; (A) = 30; (B) = 80; (AB) = 40.

(d) Describe the procedure of systematic sampling to draw a sample.

(e) Define skewness. Explain different measures of skewness.

(f) The scores obtained by 11 candidates in drawing (X) and in

music (Y) are given below :

Candidates X Y

A 24 37

B 29 35

C 20 16

D 14 26

E 30 23

F 19 27

G 27 19

[5401]-1038 4

H 32 20

I 21 17

J 28 11

K 11 21

Compute Spearman’s rank correlation coefficient between X and

Y. Comment on your result.


(a) Find Mode for the following frequency distribution :

Marks Frequency

0—20 5

20—40 12

40—60 32

60—80 40

80—100 11

(b) Explain the term ‘Correlation’.

(c) Given that :

n = 5, �x = 20, �x2 = 90, �y = 20, �y2 = 90 �xy = 73.

Compute correlation coefficient between X and Y. Comment

on your result.

(d) Explain the concept of deflating related to the index numbers.

[5401]-1038 5 P.T.O.

(e) Draw histogram for the following income distribution :

Monthly Income (Rs.) Frequency

1000—2000 120

2000—3000 125

3000—4000 180

4000—5000 150

(f) Explain the procedure of fitting an exponential curve of the

type. y = a.bx using method of least squares.


(a) (i) Explain the concept of independence of two attributes.

(ii) Information regarding daily salaries of two companies A

and B is given below :

Company A Company B

Number of workers 600 400

Mean Salary Rs. 180 Rs. 200

S.D. of Salary Rs. 9 Rs. 10

(I) Which company pays larger salary ? Why ?

(II) Which company has less variation in salaries ? Why.

(b) (i) Prepare stem and leaf chart to the following data :

10.8, 12.9, 13.0, 12.5, 13.1, 10.4, 10.2, 13.3, 11.8, 11.1,

11.3, 11.6, 11.2, 11.1, 11.3, 11.6.

[5401]-1038 6

(ii) Find combined standard deviation from the following

data :

Workers Number Average Standard

(n) Salary deviation

Male 80 1520 6

Female 20 1420 5

(c) (i) Explain the various uses of cost of living index number.

(ii) The first two moments of a distribution about the value

4 are 3 and 34. Find mean and variance.

(d) Find the correlation coefficient between population density (X)

and pollution (Y) measured in suitable units for the following

data :

X Y

11 0.50

12 0.52

13 0.60

14 0.68

15 0.80

Also comment on your result.


(a) (i) Define the following terms : [8]

(1) Arithmetic mean

(2) Geometric mean

(3) Harmonic mean

(4) Weighted mean

[5401]-1038 7 P.T.O.

(ii) Draw Scatter diagram between supply and price of

commodity using the following data. Comment on type

of correlation :

Supply Price

152 198

158 178

169 167

182 152

160 180

166 170

182 162 [4]

(iii) Given that : (AB) = 10, (A�) = 30, (�B) = 40, (��) =

120. Check whether the attributes A and B are independent

by using Yules coefficient of association (Q) for the above

data. [4]

(b) (i) Obtain regression line of y on x for the following

data : [10]

x y

2 2

3 5

5 8

7 10

9 12

10 14

12 15

15 16

Find estimate of y when x = 6.

[5401]-1038 8

(ii) Monthly wages of a worker in industry along with cost

of living index numbers are given below :

Obtain real wages and index of real wages. Comment

on findings : [6]

Year Monthly Cost of

Wages Living Index No.

1991 1500 100

1992 2200 110

1993 2400 160

1994 3500 280

1995 3600 290

1996 3600 300

1997 3700 320

1998 3750 330


Seat

No. [5401]-1039


LOGIC AND METHODOLOGY OF SCIENCE

(G-I : Introduction to Logic and Principles of Reasoning)

(2013 PATTERN)




1. Answer any four of the following : [20]

(i) State traditional classification of propositions.

(ii) Explain with illustration fallacies of composition and division.

(iii) State the characteristics of an effective decision procedure.

(iv) Give valid conversion and obversion of the following :

(a) All trees are green.

(b) Some trees are tall.

(c) Almost all trees are bloom in summer.

(d) No students are dishonest.

(e) Some chairs are not old.

P.T.O.

[5401]-1039 2

(v) Decide whether the following are tautologies, contradictory or

contingent with the help of Truth-table method (any two) :

(a) [(p � q) · (q � r)] � (p � r)

(b) [(p � q) · (q � r)] � (p � r)

(c) [(p � q) � (q � r)] � (p � q)

(vi) Decide whether the following are tautologies or not with the

help of truth-tree or shorter-truth table method (any two) :

(a) [(p � q) · q] � (p � r)

(b) [(p � q) · p] � (p � s)

(c) ~[(p � q) � (~q � ~p]

2. Answer any two : [20]

(i) Elaborate fully traditional square of opposition.

(ii) What is a categorical syllogism ? Explain the rules of categorical

syllogism based on quality of propositions.

(iii) Explain fully nature and importance of shorter Truth-table method

with suitable example.

(iv) Prove the invalidity of the following (any two) :

(a) (A � B) � (C · D)

(D � E) � F

� A � F

(b) A � B

C � D

B � C

� A � D

[5401]-1039 3 P.T.O.

(c) A � (B · C)

A � C

� ~ C

(d) E � (F � G)

G � (H · I)

~H

� E � I

3. Answer any one : [20]

(i) Explain fully nature and scope of logic.

(ii) Prove the validity of the following (any four), use direct, conditional

or indirect method :

(a) A

�B � A

(b) H �� (I · J)

�H � I

(c) (A � B) � (C · D)

~A � (E � ~E)

~C /� ~E

(d) E � (F · ~G)

(F � G) � H

E / � H

[5401]-1039 4

(e) J � K

J � (K � ~L)

~K / � ~L · ~K

(f) S � (T · U)

(T � U) � V

� S � V


(i) Distribution of terms in ‘A’ and O propositions

(ii) Intersection of sets

(iii) Rebuttal of Dilemma

(iv) Distinction between simple and compound propositions

(v) Conditional proof

(vi) Propositional variables and propositional constants.

80

:— (i)

(ii)

(iii)

1. [20]

(i)

(ii)

[5401]-1039 5 P.T.O.

(iii)

(iv)

(a)

(b)

(c)

(d)

(e)

(v)

(a) [(p � q) · (q � r)] � (p � r)

(b) [(p � q) · (q � r)] � (p � r)

(c) [(p � q) � (q � r)] � (p � q)

(vi)

(a) [(p � q) · q] � (p � r)

(b) [(p � q) · p] � (p � s)

(c) ~[(p � q) � (~q � ~p]

2. [20]

(i)

(ii)

(iii)

[5401]-1039 6

(iv)

(a) (A � B) � (C · D)

(D � E) � F

� A � F

(b) A � B

C � D

B � C

� A � D

(c) A � (B · C)

A � C

� ~ C

(d) E � (F � G)

G � (H · I)

~H

� E � I

3. [20]

(i)

(ii)

(a) A

�B � A

(b) H �� (I · J)

�H � I

[5401]-1039 7 P.T.O.

(c) (A � B) � (C · D)

~A � (E � ~E)

~C /� ~E

(d) E � (F · ~G)

(F � G) � H

E / � H

(e) J � K

J � (K � ~L)

~K / � ~L · ~K

(f) S � (T · U)

(T � U) � V

� S � V

4. : [20]

(i) ‘A’ O

(ii)

(iii)

(iv)

(v)

(vi)

P.T.O.


Seat

No. [5401]-1040


SOCIOLOGY

G-1 : Introduction to Sociology

(2013 PATTERN)





(1) Subject matter of Sociology

(2) Socialization

(3) Social Movement

(4) Types of Social Control

(5) Social Change

(6) Conformity and Deviances.


(1) Origin and definition of Sociology

(2) Any four characteristics of society

(3) Types of Social Group

(4) Aims of Socialisation.


(1) Meaning of social welfare, which is the places of welfare. Discuss.

(2) State the meaning of social stratification and write the form

of stratification.

[5401]-1040 2


(1) Nature of Sociology

(2) Meaning of Social Institution

(3) Reference Group

(4) Social Problem and Action Programme

(5) Influences of Culture on Personality Development

(6) Women’s Movement.

80

:— (i)

(ii)

(iii)

[20]

(1)

(2)

(3)

(4)

(5)

(6)

[20]

(1)

(2)

(3)

(4)

[5401]-1040 3 P.T.O.

[20]

(1)

(2)

[20]

(1)

(2)

(3)

(4)

(5)

(6)


Seat

No. [5401]-1041


ANCIENT INDIAN HISTORY, CULTURE AND ARCHAEOLOGY

General Paper I

[Outline of Prehistory, Protohistory and Early History

(600 B.C. to 1200 A.D.)]

(2013 PATTERN)





(1) What is History ?

(2) State the early Vedic literature.

(3) Write the art and architecture in Harappa.

(4) What is Second Urbanization ?

(5) State the effects of Greek contact.

(6) What do you know about ‘Pallavas’ ?


(1) Describe the Paleolithic sites in Maharashtra.

(2) Discuss the types of Megalithic burial.

(3) What do you know about Chandragupta Maurya ?

(4) State the achievements of the Rasthrakutas.

P.T.O.

[5401]-1041 2


(1) Discuss, how the Archaeological sources are useful for the history

of Ancient India ?

(2) Write an essay on the history of the Kushanas.�


(1) Periods of ‘History’

(2) Neolithic age

(3) Foreign trade in Harappa

(4) Persian empire

(5) Ramagupta

(6) Concept of Deccan.

80

:— (i)

(ii)

1. 100 [20]

(1)

(2)

(3)

(4)

(5)

(6)

2. 200 [20]

(1)

(2)

(3)

(4)

[5401]-1041 3 P.T.O.

3. 400 [20]

(1)

(2)

4. [20]

(1)

(2)

(3)

(4)

(5)

(6)

P.T.O.


Seat

No. [5401]-1042


STATISTICS

(2013 PATTERN)




(iii) Symbols and abbreviations have usual meanings.

(iv) Use of calculator and statistical table is allowed.

(v) Graph paper will be provided on request.


(a) State whether the following statements are true or

false : [1 each]

(i) Variance is invariant to the change of origin.

(ii) Number of absent students is an example of an attribute.

(iii) Index numbers are called as economic barometer.

(iv) For any data always A.M. � G.M. � H.M.

(b) Choose the correct alternative : [1 each]

(i) Which of the following is good measure of dispersion ?

(A) Arithmetic mean

(B) Median

(C) Mode

(D) Standard deviation

[5401]-1042 2

(ii) If Corr(X, Y) = 0.8, then Corr(X + 1, Y – 1) is :

(A) 0.8

(B) 0.16

(C) –0.8

(D) 0.64

(iii) Karl Pearson’s coefficient of skewness lies between :

(A) (0, 1)

(B) (–1, 1)

(C) (–�, �)

(D) None of the above

(iv) Mean deviation about its ............................. is always

minimum.

(A) Mean

(B) Mode

(C) Median

(D) Zero

(c) Answer in brief : [4×2=8]

(i) For two attributes A and B if N = 200, (A) = 40,

(�B) = 40, (�) = 150, verify whether the attributes A

and B are independent.

(ii) If A.M. and G.M. of two observations are 5 and 4

respectively, find their Harmonic mean.

(iii) If regression equation is given where Y is independent

variable as 4Y – X = 4, then find its regression

coefficient.

(iv) Given �X = 4, �Y = 6 and Corr(X, Y) = 0.7. Obtain

Var(3X – 2Y).

[5401]-1042 3 P.T.O.


(a) Write a short note on scope of Statistics in industry.

(b) What is measures of central tendency ? What are the requisites

of good measure of central tendency ?

(c) Define Yule’s coefficient of association (Q). With usual notations

show that –1 � Q � +1.

(d) With usual notations show that �2 � 1.

(e) State and prove minimal property of mean square deviation.

(f) Find 7th decile and 54th percentile for the following data :

Age Students

10—12 5

12—14 32

14—16 40

16—18 20

18—20 3


(a) Splice the two series together so as to give a continuous series

with base year 2013 :

Year Continuing Series A Continuing Series B

forward forward

2010 1000 —

2011 1250 —

2012 1400 —

2013 1600 1000

2014 — 1300

2015 — 1500

2016 — 1700

[5401]-1042 4

(b) Find Spearman rank correlation coefficient for the following

marks distribution of 8 students in two subjects :

Marks in Subject A Marks in Subject B

77 57

75 80

46 60

80 65

50 70

65 63

70 75

60 55

(c) Write a short note on stratified random sampling method.

(d) The mean and S.D. of 100 observations are 40 and 5.1 respectively.

It was later discovered that an observation 30 was misread

as 13. Calculate correct mean and S.D.

(e) With usual notations, prove that –1 � r � 1.

(f) For a symmetrical distribution, with usual notations, show

that :

232 1

1

2 .��


(a) Discuss various points to be considered while constructing an

index number.

[5401]-1042 5 P.T.O.

(b) Given n pairs of observations (xi, yi) i = 1, 2, ....., n, explain

the procedure of fitting of simple linear model of the type

Y = a + bX + �, with E(�) = 0, V(�) = �2. Estimate the

parameters ‘a’ and ‘b’ by method of least square.

(c) Derive Spearman’s rank correlation coefficient in case of without

ties of observations.

(d) (i) Calculate Fisher’s price index number for the following

information :

� p0 q0 = 166 � p0 q1 = 107

� p1 q0 = 207 � p1 q1 = 134.

(ii) Explain the procedure to fit a second degree equation

by least square method.


(a) (i) For a frequency distribution, Bowley’s coefficient of skewness

is 0.6. The sum of first and third quartiles is 100 and

the median is 38. Find the two quartiles, also construct

box plot. (6)

(ii) Suppose X, Y and Z are uncorrelated variables with same

S.D. (�). Obtain the correlation coefficient between

(X + Y) and (Y + Z). (5)

(iii) Given the following data : (5)

Commodity Base Year Current Year

Price Quantity Price Quantity

A x 8 3 4

B 2 6 6 2

Find the value of x if ratio of Laspeyre’s price index

number to that of Paasche’s is 15 : 14.

[5401]-1042 6

(b) (i) With usual notations prove that �2 � �1 + 1. (8)

(ii) Given x – 4y = 5 with X as dependent variable and

x – 16y + 64 = 0, as another type of regression line

find ,x y and estimate y for x = 0. (4)

(iii) Explain the term ‘deflating’. (4)

P.T.O.


Seat

No. [5401]-1043


APPLIED MATHEMATICS

(AMG-I : Calculus and Differential Equations)

(2013 PATTERN)




(iii) Use of calculators is allowed.


(a) Evaluate :

0

| |lim .

x

x

x�

(b) Find a rational number between 2 and 3 .

(c) Find greatest lower bound and least upper bound of the

set :

1S = N .n

n

� ��

(d) Discuss the continuity of :

2 3 2.

2

x xf x

x

�

[5401]-1043 2

(e) Evaluate :

0

log sinlim .

cotx

x

x�

(f) Evaluate :

/211

0

sin .x dx

�

(g) Find integrating factor of the differential equation :

4 4 3 0.x y dx xy dy �

(h) Define the term ‘Orthogonal trajectories’.

(i) Solve the differential equation sin(y – px) = p where

p = dy

dx.

(j) Find the order and degree of differential equation :

3 424

20.

d y dyx y y

dxdx

� � � � ��


(a) If x > 0, then show that for any real number y there exists

a natural number n in N such that nx > y.

(b) Find real values of x satisfying the equation :

|x + 1| + |x – 2| = 7.

(c) Using definition of limit, show that :

2

1

2 3lim 2.

2x

x x

x�

�

(d) Verify Cauchy’s Mean Value Theorem for the function

f(x) = x2, g(x) = x on [a, b].

[5401]-1043 3 P.T.O.

(e) Evaluate :

21

0lim cos .

x

xx

�

(f) Assuming validity of expansion, show that :

1 2 31 1 1tan 1 .......... .

4 2 4 12x x x x � �


(a) State and prove Lagrange’s Mean Value Theorem. Give its

geometrical meaning.

(b) (i) If

1cos siny m x� ,

then show that :

2 2 22 11 2 1 0.n n nx y n xy m n y �

(ii) Separate the intervals in which polynomial :

x3 + 8x2 + 5x – 2

is increasing or decreasing.

(c) (i) Show that for all x > 0,

2 2

log 1 .2 2 1

x xx x x

x � �

(ii) Using Taylor’s theorem, evaluate :

50

1log 2

1lim .

x

xx

x

x�

� ��

� ��

[5401]-1043 4

4. Attempt any four of the following : [16](a) Evaluate :

2.

1 4

xdx

x x

(b) Evaluate :

.cos sin 2

dx

x x (c) Form the differential equation from y = a cos x + b sin x where

a and b are constants.(d) Define linear differential equation. Explain its method of

solution.(e) Solve :

2 2sin 2 1 cos 0.y x dx y x dy �

(f) Solve the differential equation y = 2px + p4x2 where

p = dy

dx.

5. Attempt any two of the following : [16](a) Define non-homogeneous differential equation. Explain its

methods of solutions.(b) Obtain reduction formula for :

2 2I ,n n

dx

x a

�

hence evaluate :

42.

1

dx

x

(c) (i) Solve the differential equation :

cos cos sin sin ;y px y px p p�

where p = dy

dx.

(ii) Show that the family y2 = 4a(x + a) is self-orthogonal.

P.T.O.


Seat

No. [5401]-1044


STATISTICS

(Applied Statistics)

(2013 PATTERN)




(iii) Use of statistical tables and scientific calculator is allowed.

(iv) Symbols have their usual meaning.

(v) Graph paper will be provided on request.


(a) State whether the following statements are true or

false : [1 each]

(i) Median can be determined graphically.

(ii) Mean deviation = mean squared deviation .

(iii) Given : corr (X, Y) = 0.6. If U = X – 10, V = Y + 10,

then corr (X, Y) = corr (U, V).

(iv) If attributes A and B are independent then coefficient

of association Q = 0.

[5401]-1044 2

(b) Choose the correct alternative : [1 each]

(i) The mean height of children in a group is 125 cm. If

height of two children are recorded wrongly as 135 and

142 instead of 132 and 145, then the correct mean height

will be :

(A) 125

(B) 132

(C) 126

(D) 130

(ii) Raw moments are the moments about :

(A) Origin

(B) Mean

(C) Any value

(D) 10

(iii) If price of a commodity in current year and base year

are 130 and 190 respectively, then the price relative of

commodity is :

(A) 100

(B) 146.15

(C) 100.15

(D) 68.42

(iv) Which method of sampling is appropriate if the population

is homogeneous ?

(A) Simple random sampling

(B) Stratified sampling

(C) Systematic sampling

(D) Cluster sampling

[5401]-1044 3 P.T.O.

(c) Answer in brief : [4×2=8]

(i) Define Karl Pearson’s coefficient of skewness.

(ii) Find mean deviation about mean for 15 observations in

the data if :

| | 132.ix x� ��(iii) What is the effect of change of origin and scale on coefficient

of correlation ?

(iv) Discuss deflating of index numbers.


(a) State the advantages and limitations of sampling over census.

(b) The following data give number of infected leaves of Strawberry

plants recorded for 22 plants :

3, 2, 5, 8, 8, 4, 5, 8, 5, 1, 3, 2, 5, 9, 7, 2, 8, 2, 8, 5, 7, 2

Present the above information using Stem and Leaf chart.

(c) Compute coefficient of variation for the following data :

Marks No. of Students

10—20 5

20—30 35

30—40 43

40—50 9

50—60 8

(d) Given :

N = 100, (A) = 21, (B) = 20, (C) = 41, (AB) = 5, (AC) = 18,

(BC) = 5, (ABC) = 4.

Find (AB�), (A�) and (A�C).

[5401]-1044 4

(e) Given 1�� = 2, 2�� = 5, 3�� = 15, 4�� = 49. Calculate coefficient

of skewness based on moments (�1) and coefficient of kurtosis

(�2) and comment on the results obtained.

(f) Compute mode for the following data :

Runs scored No. of Matches

0—10 5

10—20 25

20—30 32

30—40 45

40—50 18

50—60 5


(a) (i) Define arithmetic mean.

(ii) Discuss any two merits and demerits of arithmetic mean.

(b) What are quartiles ? Describe the procedure of determining

quartiles gaphically.

(c) Given : (AB) = 300, (A�) = 550, (�B) = 760, (��) = 240.

Calculate Yule’s coefficient of association and comment on the

result obtained.

(d) (i) Define central moment.

(ii) Discuss the effect of change of origin and scale on central

moments.

[5401]-1044 5 P.T.O.

(e) The following data give number of days of stay in hospital

recorded for 20 patients :

2, 10, 12, 8, 5, 13, 22, 25, 31, 28, 24, 15, 18, 35, 45, 23,

42, 15, 10, 7.

Draw a systematic sample of 5 observations in the above data

and determine its median.

(f) For a certain data, the sum of the upper and the lower quartile

is 200 and their difference is 80. If median is 95, then find

the coefficient of skewness and comment on the result obtained.


(a) The following table gives the scores (X) of an aptitude

test of eight candidates and their respective intelligence

quotients (Y) :

X Y

68 82

40 56

65 75

85 70

72 85

80 65

76 68

78 60

Compute the rank correlation coefficient between X and Y.

Also interpret your result. (8)

[5401]-1044 6

(b) Define the following :

(i) Attribute

(ii) Variable

(iii) Fundamental set of frequencies

(iv) Dissociation between two attributes. (8)

(c) Examine the consistency of the following data :

N = 800, (A) = 200, (B) = 290, (C) = 150, (AB) = 125,

(AC) = 70, (BC) = 55, (ABC) = 30. (8)

(d) The export of units (in thousands) of a certain product recorded

for seven years are given below :

Year (X) Export (Y)

1 5

2 10

3 15

4 23

5 32

6 34

7 45

Fit the curve Y = a + bX + cX2 to the above data.

Using the fitted curve, obtain the estimate of Y for the

year 12. (8)

[5401]-1044 7 P.T.O.


(a) (i) The price and quantities for year 2000 and 2008 of

commodities are as given in the table given below :

Year 2000 2008

Commodity Price Quantity Price Quantity

(p0) (q0) (p1) (q1)

A 25 32 30 42

B 28 25 22 48

C 20 30 18 28

D 22 30 15 37

Calculate price index number for year 2008 taking 2000

as a base year using :

(I) Laspeyre’s formula,

(II) Paasche’s formula,

(III) Fisher’s formula. (8)

(ii) Explain why index numbers are called economic

barometers. (4)

(iii) Describe the method of obtaining consumer’s price index

numbers by family budget method. (4)

(b) (i) Compute the correlation coefficient between X and Y from

the following data :

n = 50, (xi – 10) = 110, (xi – 10)2 = 640, (yi – 15) = 120,

(yi – 15)2 = 530, (xi – 10)(yi – 15) = 330. (8)

[5401]-1044 8

(ii) The following data give the observations on the Annual

Income (X) and Savings (Y) of 6 families :

X Y

(in Lac Rs.) (in Lac Rs.)

5 1

4.5 1.2

7 2

10 3

7 2.5

6 2

The least squares linear regression equation of Y on X

is Y = 1.2 + 0.25*X. Obtain residuals and draw residual

plot. (8)


Seat

No. [5401]-1045


PHILOSOPHY

(G-1 : Introduction to Philosophy)

(2013 PATTERN)





(1) What is the nature of Art ?

na.

(3) Explain briefly the relation between God and World.

(4) ‘‘Dialogue : A method of Philosophy’’ Explain.

(5) What is Idealism ?

(6) Briefly explain the nature of ethics as a branch of

Philosophy.


(1) Discuss the nature and types of Arguments.

(2) Explain the Moral Argument for the existence of God.

(3) Give an account of Charvaka’s Dehatmavad.

(4) Explain and discuss the concept of Dharma.

P.T.O.

[5401]-1045 2

3. Answer any one the following questions in 400 words : [20]

(1) Bring out elaborately nature and sources of knowledge.

(2) Explain Hedonism critically.


(1) Shabdapramana

(2) Nature of Beauty

(3) Concept of Ruta

(4) Materialism

(5) Concept of Darshana

(6) Goodwill according to Kant.

80

:— (i)

(ii)

(iii)

1. 100 [20]

(1)

(2)

(3)

(4)

(5)

(6)

2. 200 [20]

(1)

[5401]-1045 3 P.T.O.

(2)

(3)

(4)

3. 400 [20]

(1)

(2)

4. [20]

(1)

(2)

(3)

(4)

(5)

(6)


Seat

No. [5401]-1046


MATHEMATICAL PREREQUISITES

(2013 PATTERN)




1. Attempt any ten of the following : [20]

(a) Solve the equations :

4x + y = 7, x – y = 8.

(b) Find equilibrium price for Qs = 7 – 4P, Qd = 13 – 2P.

(c) Find slope at x = –1 when y = 2x2 + 5.

(d) Define marginal cost.

(e) Find marginal function at Q = 2 if TC = Q2 – 5Q + 7.

(f) Find zxy if z = x2y2 – x3.

(g) Evaluate :

dy

dx at x = 3 if y = 2x3 – 4.

(h) Evaluate :

2

7lim ( 1).x

x x�

� �

P.T.O.

[5401]-1046 2

(i) Find :

when .dy

y xdx

� � � �

(j) Define inflection point.

(k) Find slope and y-intercept if 2x – y = 5.

(l) What is critical point ?

(m) If y = u2 and u = 3x, find .dy

dx

2. Solve any two of the following : [10]

(a) Use product rule to find dy

dx if y = 7x9(3x2 – 12).

(b) Find MR function if P = Q2 + 0.5Q + 3. Evaluate at

Q = 10.

(c) Use quotient rule to find dy

dx if

6 7.

8 5

xy

x

��

�

(d) If z = x3y + xy2, then verify that zxy = zyx.

3. Evaluate any two of the following : [20]

(a) Examine the function 2 23 2 4 7 12z x y xy x y� � � � � � for

extreme values.

(b) Find yI, yII, yIII, yIV at x = 3 if y = (5 – x)4.

(c) Find price elasticity of supply at P = 3, 5 if Q – 1.5P +

3 = 0.

(d) Explain Lagrange’s method of undetermined multipliers.

[5401]-1046 3 P.T.O.


(a) Minimise the cost function C = 8x2 + 6y2 – 2xy – 40x – 42y

+ 180. Evaluate it at critical points.

(b) Find zx, zy, zxy, zyx at x = 1, y = 1 where z = 8x2y – 11xy3.

(c) Define product and quotient rule of derivative. Find dy

dx at

x = 0, x = 2 if y =

27

1

x

x �

(d) Maximise the profit function � = 25x – x2 – xy – 2y2 + 30y

– 28. Evaluate it at critical points.


Seat

No. [5401]-1047


FOUNDATION COURSE (RESTRUCTURING)

(2013 PATTERN)




1. Write answer of the following questions in 100 words each (any

four) : [20]

(1) State the information about Vedic Literatures.

(2) Explain the social life of Indus Valley Culture.

(3) Give the information about work of Depressed Classes Mission.

(4) State the information about mix economy.

(5) State the elements creation of nation.

(6) Explain the religious values.

2. Write answer of the following questions in 200 words each (any

two) : [20]

(1) Explain the problems of National Integration.

(2) State the causes of Rising Transformation Movement in

India.

(3) Explain the relation of Science and Technology.

(4) Explain the types of Hypothesis.

P.T.O.

[5401]-1047 2

3. Write the answers of any one of the following in 400 words : [20]

(1) Explain the causes and effects of Gender Disparity.

(2) State the characteristics of Indian society.

4. Write the following short notes in 100 words each (any

four) : [20]

(1) Satya Shodhak Samaj

(2) Liberalization

(3) Population Explosion

(4) Regionalism

(5) Research Synopsis

(6) Democracy.

80

:— (i)

(ii)

(iii)

1. 100 [20]

(1)

(2)

(3)

(4)

(5)

(6)

2. 200 [20]

(1)

[5401]-1047 3 P.T.O.

(2)

(3)

(4)

3. 400 [20]

(1)

(2)

4. 100 [20]

(1)

(2)

(3)

(4)

(5)

(6)

P.T.O.


Seat

No. [5401]-1050


(Vocational Course)

COMPUTER APPLICATIONS—I

(2013 PATTERN)


N.B. :— (i) Draw a neat-labelled diagram wherever necessary.


1. Answer the following (any five) : [10]

(1) Paint Brush

(2) MS-Dos

(3) ASCII

(4) Light pen

(5) Data Management

(6) Barcode Reader

(7) Internet.

2. Answer the following (any two) : [10]

(1) Explain types of Printers with example.

(2) Define computer. Explain types of computer.

(3) What is e-mail ? What are the advantages of e-mail ?

[5401]-1050 2

3. Solve the following : [15]

(a) Convert from Decimal to Binary :

(44)10 = ( )2

(b) Convert from Octal to Binary :

(65)8 = ( )2

(c) Binary Addition :

1111 + 10111 = ?

(d) Binary Subtraction :

1111111 – 10011 = ?

(e) Convert from Decimal to Hexadecimal :

(123)10 = ( )16

4. Answer the following : [5]

Explain primary memory.

Or

What are the Uses of Internet ?

P.T.O.


Seat

No. [5401]-1051

F.Y. B.A. (Vocational Stream) EXAMINATION, 2018

FUNCTIONAL ENGLISH

Paper I

(An Introduction to English Language and Writing Skills in English)

(Theory)

(2013 PATTERN)




1. (a) Write short notes on any two of the following : [6]

(i) Language as arbitrary system of signs

(ii) Diphthongs in English

(iii) Semantics as a branch of linguistics.

(b) Fill in the blanks (any five) : [5]

(i) The initial consonant sound in the word ‘laughter’

is .......................... .

(ii) The final consonant sound in the word ‘hint’

is .......................... .

(iii) Language is a system of .......................... .

(iv) The two diphthongs ending in /U/ are ........................ .

(v) The vowel sound in the word ‘root’ is ........................ .

(vi) Diphthongs are known as .......................... .

(vii) /w/ is a .......................... sound.

[5401]-1051 2

(c) State whether the following statements are true or false

(any five) : [5]

(i) There are 6 bilabial sounds in English.

(ii) All consonants are voiced.

(iii) / f / is a voiceless consonant.

(iv) A consonant is articulated with free release of air stream

without any narrowing or obstruction.

(v) There are six diphthongs in English.

(vi) Morphology deals with study of words and word forms.

(vii) There are five back vowels in British RP.

2. (a) Use the correct tense forms of the verbs given in the

brackets : [3]

Yesterday, while I was (write) a letter, my friend (telephone)

me from Chennai. He told me that he will be (arrive) the

next day and would like to meet me.

(b) Fill in the blanks with appropriate prepositions given in the

brackets : [2]

[near; with; in; to]

Shikha spent some days ..................... her aunt .....................

a sprawling bungalow in Begumpet, Hyderabad. She was working

on a project given to her by her company. There was a photocopying

shop ..................... the bungalow. One day she went .....................

the shop and met her friend accidentally.

[5401]-1051 3 P.T.O.

(c) Change the voice (any two) : [2]

(i) Everyone finished the work.

(ii) I will drive the car carefully.

(iii) Let’s complete the journal.

(d) Use articles (a/an/the) wherever necessary : [2]

My mother is ..................... teacher. She gets up early and

completes all ..................... work at home and goes to the school.

She has ..................... old scooty and she drives carefully

thinking all the time of her family. One day .....................

mechanic offered to buy the old scooty and gave her a new

one for additional cost.

(e) Choose the correct alternative and write the sentences (any

five) : [5]

(i) (Between/Among) two sisters, Harshada is better dancer.

(ii) Shopkeepers are not happy these days, (are they ?/aren’t

they ?)

(iii) (The table’s leg/Leg of the table) is broken.

(iv) A lot of boys (are/were) absent today.

(v) My friend Rahul is my Principal’s (cousin brother/cousin).

(vi) Young generation prefers coffee (to/than) tea these days.

(vii) (Rohit plays well/Rohit is playing) well nowadays.

3. (a) Write notes on any two of the following : [10]

(i) Word accent

(ii) Stress shift according to function

(iii) Falling-rising tone.

[5401]-1051 4

(b) Divide the following sentences into tone groups and mark accent

and intonation (any five) : [10]

(i) As the teacher comes, we will start our journey.

(ii) Good morning. When did you come ?

(iii) Car driver should be careful on road.

(iv) May I come in Sir ?

(v) Go to the library and bring this book.

(vi) If you help me, I will help you tomorrow.

(vii) What an interesting story !

4. Develop the following points into a good paragraph of about fifteen

sentences : [10]

Importance of Games :

• Introduction

• Games of physical fitness

• Useful for mental alertness

• Games should be compulsory part of curriculum

• Games can glory to the country

• Conclusion.

Or

Write a short paragraph on ‘Women Empowerment’. [10]

5. Prepare a flow chart for planning and preparing for a summer holiday

with your family. [10]

[5401]-1051 5 P.T.O.

6. Read the following entries from the Oxford Advanced Learner’s Dictionary

and answer the questions given below (any five) : [10]

Questions :

(i) Give two uses of ‘coy’.

(ii) Transcribe the word ‘cowslip’ phonemically according to British

English.

(iii) Transcribe the word ‘cowpoke’ phonemically according to AmericanEnglish.

(iv) Use the word ‘cowgirl’ in your own sentence.

(v) How many syllables are there in the words ‘cowling’ and

‘cowshed’ ?

(vi) Which syllables have primary stress in the words ‘co-worker’ ?

P.T.O.


Seat

No. [5401]-1052


TRAVEL AND TOURISM MANAGEMENT

(Vocational Stream)

Paper I

(Fundamentals of Tourism)

(2013 PATTERN)




(iii) Draw neat diagrams and sketches wherever necessary.

(iv) Use of map stencil is allowed.

1. Explain any two in brief (Around 50 words) : [10]

(i) Beach tourism

(ii) Mass tourism

(iii) Excursionists

(iv) Religious tourists.

2. Write short notes on any four (Around 100 words) : [20]

(i) Tourism business

(ii) Annual Holiday

(iii) Bharat Natyam

[5401]-1052 2

(iv) Folk lore

(v) Natural attractions

(vi) Roman empire.

3. Answer any three (200-250 words) : [30]

(i) Explain growth of tourism in India.

(ii) Is internet useful in tourism industry ? How ?

(iii) Discuss the importance of employment generator.

(iv) Explain tourism and international understanding.

(v) Write the components of tourism explain.

4. Answer in detail any one (Around 500 words) : [20]

(i) Explain capital-output in brief.

(ii) Does the natural disasters effect the tourism industry ? Explain

in detail with examples.


Seat

No. [5401]-1053


(FUNCTIONAL HINDI : VOCATIONAL)

Paper-I

(2013 PATTERN)

: : 80

:—(i)

(ii)

(iii)

1.

[5]

(i) Assistant

(ii) Director

(iii) Minimum

(iv) Mutual

(v) Table

(vi) Under

(vii) Sorting.

P.T.O.

[5401]-1053 2

[5]

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

2. [10]

3. [12]

4. : [15]

[5401]-1053 3 P.T.O.

5. [7]

[8]

6. [18]

P.T.O.


Seat

No. [5401]-1055


(Vocational Course)

COMPUTER APPLICATIONS—II

(2013 PATTERN)




1. Answer the following (any four) : [20]

(a) Define :

(i) Program

(ii) Flowchart.

(b) Explain while loop with syntax and example.

(c) Explain increment and decrement operators with example.

(d) What is array ? Explain need for array.

(e) Explain printf( ) and scanf( ) functions.

(f) Explain any two Data Types in C.

(g) What is variable ? State rules for defining variable name.

2. Write a program to solve the following (any two) : [10]

(a) Write a program to find maximum of two numbers.

[5401]-1055 2

(b) Write a program to find a square of a given number.

(c) Write a program to display multiplication table of any

number.

3. Write short notes on the following (any two) : [10]

(a) if....else statement

(b) String

(c) Programming Language.

F.Y.B.A ( 2013 PATTERN ).pdf - Savitribai Phule Pune University

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