Directions (Q. 01-05): In each of these questions a number series is given. Below the series one number is given following by (a), (b), (c), (d) and (e). You have to complete this series following the same logic as in the original series and answer the questions that follows.

01. 5 9 25 91 414 2282.5
3 (a) (b) (c) (d) (e)
What will come in place of (c) ?
(a) 63.25
(b) 63.75
(c) 64.25
(d) 64.75
(e) None of these

02. 15 9 8 12 36 170
19 (a) (b) (c) (d) (e)
What will come in place of (b) ?
(a) 18
(b) 16
(c) 22
(d) 24
(e) None of these

03. 7 6 10 27 104 515
9 (a) (b) (c) (d) (e)
What will come in place of (d) ?
(a) 152
(b) 156
(c) 108
(d) 112
(e) None of these

04. 6 16 57 244 1245 7506
9 (a) (b) (c) (d) (e)
What will come in place of (d) ?
(a) 985
(b) 980
(c) 1004
(d) 1015
(e) None of these

05. 8 9 20 63 256 1285
5 (a) (b) (c) (d) (e)
What will come in place of (e) ?
(a) 945
(b) 895
(c) 925
(d) 845
(e) None of these

Direction (Q. 06-10): What approximate value will come in place of the question mark (?) in the following questions ? (You are not expected to calculate the exact value.)

06. (32.51)² -(17.45)² = ?
(a) 780
(b) 850
(c) 680
(d) 820
(e) 750

07. 88.52% of 450 = % of 530
(a) 70
(b) 68
(c) 7
(d) 80
(e) 65

08. 898 × (12.005)² + / = 5000
(a) 680
(b) 720
(c) 750
(d) 620
(e) 630

09. 3745 ÷ 24.05 ×17.98 = ?
(a) 2860
(b) 2800
(c) 2760
(d) 2720
(e) 2840

10. 117.95 × 8.017 × 4.98 = ?
(a) 4670
(b) 4780
(c) 4840
(d) 4720
(e) 4800

Dear UPSCPORTAL Members,
In yet another attempt to encourage all of you to share your study material and resources, we have launched a new service by which you can send your material through Normal/Registered Post to our Postal Address.

Here is the first call for UPSC Mains Papers 2010 papers.

• UPSC Mains 2010 Questions Paper - Economics (Paper I & II)
• UPSC Mains 2010 Questions Paper - Commerce & Accountancy/Management (Paper I & II)
• UPSC Mains 2010 Questions Paper - Civil Engg./Electrical Engg./Mechanical Engg./Medical Science (Paper I & II)
• UPSC Mains 2010 Questions Paper - Botany (Paper I & II)
• UPSC Mains 2010 Questions Paper - Statistics (Paper I & II)
• UPSC Mains 2010 Questions Paper - Animal Husbandry & Veterinary Science (Paper I & II)
• UPSC Mains 2010 Questions Paper - Chemistry (Paper I & II)
• UPSC Mains 2010 Questions Paper - Geology (Paper I & II)

CONTENTS

Short Stories
Introduction

1. The Lament
Anton Chekhov

2. A Pair of Mustachios
Mulk Raj Anand

3. The Rocking-horse Winner
D.H.Lawrence

4. The Adventure of the Three Garridebs
Arthur Conan Doyle

5. Pappachi’s Moth
Arundhati Roy

6. The Third and Final Continent
Jhumpa Lahiri

7. Glory at Twilight
Bhabani Bhattacharya

8. The Luncheon
William Somerset Maugham

Poetry
Introduction

1. The Peacock
Sujata Bhatt

2. Let me Not to the Marriage of True Minds
William Shakespeare

3. Coming
Philip Larkin (Haiku)

4. Telephone Conversation
Wole Soyinka

5. The World is too Much With Us
William Wordsworth

6. Mother Tongue
Padma Sachdev

7. Hawk Roosting
Ted Hughes

8. For Elkana
Nissim Ezekiel (The Limerick)

9. Refugee Blues
W. H. Auden

10. Felling of the Banyan Tree
Dilip Chitre

11. Ode to a Nightingale
John Keats

12. Ajamil and the Tigers
Arun Kolatkar

Essays
Introduction

1. My Watch
Mark Twain

2. My Three Passions
Bertrand Russell

3. Patterns of Creativity
S.Chandrasekhar

4. Tribal Verse
G.N.Devy

5. What is a Good Book?
John Ruskin

6. The Story
E.M.Forster

7. Bridges
Kumudini Lakhia

Contents

1. Sets

1.1 Introduction
1.2 Sets and their Representations
1.3 The Empty Set
1.4 Finite and Infinite Sets
1.5 Equal Sets
1.6 Subsets
1.7 Power Set
1.8 Universal Set
1.9 Venn Diagrams
1.10 Operations on Sets
1.11 Complement of a Set
1.12 Practical Problems on Union and Intersection of Two Sets

2. Relations and Functions

2.1 Introduction
2.2 Cartesian Product of Sets
2.3 Relations
2.4 Functions

3. Trigonometric Functions

3.1 Introduction
3.2 Angles
3.3 Trigonometric Functions
3.4 Trigonometric Functions of Sum and Difference of Two Angles
3.5 Trigonometric Equations

4. Principle of Mathematical Induction

4.1 Introduction
4.2 Motivation
4.3 The Principle of Mathematical Induction

5. Complex Numbers and Quadratic Equations

5.1 Introduction
5.2 Complex Numbers
5.3 Algebra of Complex Numbers
5.4 The Modulus and the Conjugate of a Complex Number
5.5 Argand Plane and Polar Representation
5.6 Quadratic Equations

6. Linear Inequalities

6.1 Introduction
6.2 Inequalities
6.3 Algebraic Solutions of Linear Inequalities in One Variable
and their Graphical Representation
6.4 Graphical Solution of Linear Inequalities in Two Variables
6.5 Solution of System of Linear Inequalities in Two Variables

7. Permutations and Combinations

7.1 Introduction
7.2 Fundamental Principle of Counting
7.3 Permutations
7.4 Combinations

8. Binomial Theorem

8.1 Introduction
8.2 Binomial Theorem for Positive Integral Indices
8.3 General and Middle Terms

9. Sequences and Series

9.1 Introduction
9.2 Sequences
9.3 Series
9.4 Arithmetic Progression (A.P.)
9.5 Geometric Progression (G.P.)
9.6 Relationship Between A.M. and G.M.
9.7 Sum to n terms of Special Series

10. Straight Lines

10.1 Introduction
10.2 Slope of a Line
10.3 Various Forms of the Equation of a Line
10.4 General Equation of a Line
10.5 Distance of a Point From a Line

11. Conic Sections

11.1 Introduction
11.2 Sections of a Cone
11.3 Circle
11.4 Parabola
11.5 Ellipse
11.6 Hyperbola

12. Introduction to Three Dimensional Geometry

12.1 Introduction
12.2 Coordinate Axes and Coordinate Planes in Three Dimensional Space
12.3 Coordinates of a Point in Space
12.4 Distance between Two Points
12.5 Section Formula

13. Limits and Derivatives

13.1 Introduction
13.2 Intuitive Idea of Derivatives
13.3 Limits
13.4 Limits of Trigonometric Functions
13.5 Derivatives

14. Mathematical Reasoning

14.1 Introduction
14.2 Statements
14.3 New Statements from Old
14.4 Special Words/Phrases
14.5 Implications
14.6 Validating Statements

15. Statistics

15.1 Introduction
15.2 Measures of Dispersion
15.3 Range
15.4 Mean Deviation
15.5 Variance and Standard Deviation
15.6 Analysis of Frequency Distributions

16. Probability

16.1 Introduction
16.2 Random Experiments
16.3 Event
16.4 Axiomatic Approach to Probability

CONTENTS

PART-I
FOUNDATIONS OF BUSINESS

CHAPTER 1
Nature and Purpose of Business

CHAPTER 2
Forms of Business Organisation

CHAPTER 3
Private, Public and Global Enterprises

CHAPTER 4
Business Services

CHAPTER 5
Emerging Modes of Business

CHAPTER 6
Social Responsibilities of Business and Business Ethics

PART-II
CORPORATE ORGANISATION, FINANCE AND TRADE

CHAPTER 7
Formation of a Company

CHAPTER 8
Sources of Business Finance

CHAPTER 9
Small Business

CHAPTER 10
Internal Trade

CHAPTER 11
International Business - I

CHAPTER 12
International Business - II