CONTENTS
4.
SECTION A
LOGICAL REASONING AND
ANALYTICAL ABILITY
A-1 – A-316
1. LOGICAL REASONING
A-3 – A-132
1.
SYLLOGISM
1.1.
1.2.
1.3.
1. 4.
Introduction
Types of Propositions
Logical Deduction
Rules for Deriving the Conclusion from
two given Premises
1.5. Different Possible Cases and all Possible
Inferences that follow, along with
Verification through Venn Diagrams
 EXERCISE 1 (A)
2.
3.
5.
7
6.
11
15

EXERCISE 1 (C)
18

EXERCISE 1 (D)
22
25
25
25
7.
57
57
EXERCISE 4 (A)
59

EXERCISE 4 (B)
61
STATEMENT – COURSES OF ACTION
72
72
72

EXERCISE 5 (A)
73

EXERCISE 5 (B)
78
PUNCHLINES
83
6.1. Introduction
83
6.2. Criteria for Judging if a Line Qualifies
as a Punchline
83
6.3. Flowchart to Find the Punchline
83

EXERCISE 6 (A)
84

EXERCISE 6 (B)
86
DERIVING INFERENCE FROM PASSAGES
7.1.
7.2.
7.3.
7.4.
7.5.
29
57

5.1. Introduction
5.2. Guideline to Find a Suitable Course
of Action
3
3
6
6
EXERCISE 1 (B)
STATEMENT – CONCLUSIONS
2.1. Reasoning with Immediate Inferences
2.2. Methods of Drawing Inference
(Or Conclusion) from Single Statement
 EXERCISE 2 (A)
4.1. Introduction
4.2. Extracting the Assumption Hidden
in the Statement
3

STATEMENT-ASSUMPTIONS
87
Introduction
Methods of Reasoning
Methods of Analysis
Questions Relating to the Conclusions
Method to Evaluate an Inference from
the Given Passage
87
87
88
88
88

EXERCISE 2 (B)
30

EXERCISE 2 (C)
31

EXERCISE 2 (D)
37

EXERCISE 2 (E)
38

EXERCISE 7 (A)
92
41

EXERCISE 7 (B)
96
41
41

EXERCISE 7 (C)
99
STATEMENT – ARGUMENT
3.1. Introduction
3.2. Basic Techniques for the Art of
Argumentation
3.3. Forcefulness of Arguments
3.4. Fallacies in Arguments
3.5. Flow Chart for the Analysis of an
Argument
3.6. How to Strengthen or Weaken a Given
Argument
3.7. Tips That Apply Specifically to
Strengthening or Weakening of
an Argument
8.

42
42
44
9.
45
EXERCISE 3 (A)
47

EXERCISE 3 (B)
55
EXERCISE 8
CAUSE AND EFFECT
9.1.
9.2.
9.3.
9.4.
44

DETECTING THEME FROM PASSAGES
115
120
Introduction
Format of Questions
Approach to the Solution
Flowchart to Find the Correct Choice
120
120
120
120

EXERCISE 9 (A)
122

EXERCISE 9 ( B )
124
10. SITUATION REACTION TEST

(i)
114
EXERCISE 10
127
128
(ii)
2. ANALYTICAL ABILITY
1.
2.
SERIES TEST
EXERCISE 1 (A)
133

EXERCISE 1 (B)
134

EXERCISE 1 (C)
135

EXERCISE 1 (D)
141

EXERCISE 1 (E)
143

EXERCISE 1 (F)
144

EXERCISE 1 (G)
146
ANALOGY TEST
CLASSIFICATION TEST

256
EXERCISE
258
16. PUZZLE TEST

269
EXERCISE
270
17. ASSERTION AND REASON
285
151

EXERCISE
285
151

PRACTICE EXERCISES
289
2.
ANALOGY TEST
293
167
3.
CLASSIFICATION TEST
296
Letter Coding
Number Coding
Number-Letter Coding
Substitutional Coding
Mixed Letter Coding
167
167
167
167
168
4.
CODING-DECODING TEST
297
5.
BLOOD RELATION TEST
301
6.
DIRECTION SENSE TEST
302
7.
SITTING ARRANGEMENT TEST
304
EXERCISE
168
8.
RANKING TEST
305
BLOOD RELATION TEST
176
EXERCISE
177
DIRECTION SENSE TEST
183
EXERCISE
184
EXERCISE
CODING – DECODING TEST
SITTING ARRANGEMENT TEST

EXERCISE
RANKING TEST

9.
252
161

8.
EXERCISE
15. ELIGIBILITY TEST
289

7.

251
251
SERIES TEST

6.
14.1. Clocks
14.2. Calendar
1.
4.1.
4.2.
4.3.
4.4.
4.5.
5.
251
161

4.
EXERCISE
14. TIME AND CALENDAR TEST
133


3.
A-133 – A-316
EXERCISE
MATHEMATICAL OPERATIONS
10. ALPHABET TEST
306
11. LOGICAL VENN DIAGRAMS
307
12. INPUT-OUTPUT TEST
309
13. DATA SUFFICIENCY TEST
310
192
14. TIME & CALENDAR TEST
311
194
16. PUZZLE TEST
312
191
195
199
GENERAL
SECTION B
MENTAL ABILITY
B-1 – B-131
EXERCISE
200
10. ALPHABET TEST
202

GENERAL MENTAL ABILTLY
3
EXERCISE
202
1.
PROFIT AND LOSS
4
11. LOGICAL VENN DIAGRAMS
209



EXERCISE 11 (A)
212

EXERCISE 11 (B)
227

2.
ALLIGATION OR MIXTURE
5
Introduction
Frequently asked Operations are on
Format of the Questions
Solution to the Questions
Problems Involving Shifting Operation
Problems Dealing with Reordering
233
234
234
234
234
238
3.
SIMPLE AND COMPOUND INTEREST
6
EXERCISE
239
13. DATA SUFFICIENCY TEST

4
4
4
233
12. INPUT-OUTPUT TEST
12.1.
12.2.
12.3.
12.4.
12.5.
12.6.
1.1. Terminology
1.2. Percent Profit and Loss
1.3. Typical Profit and Loss Situations
EXERCISE
248
249
3.1. Simple Interest
3.2. Compound Interest
3.3. Instalments
4.
PARTNERSHIP
4.1. Investment of Capital for Equal Periods
4.2. Investment of Capital for Unequal Periods
4.3. Partner's Share and Interest on Capital
6
6
7
7
7
8
8
(iii)
5.
TIME AND WORK
5.1.
5.2.
5.3.
5.4.
Work and Time
Basic Working Rule
Proportionality Relation in Time and Work
Work and Wages
9
10
10
10
6.
PIPES AND CISTERNS
11
7.
TIME AND DISTANCE
11
7.1. Important formulae used in Time,
Speed and Distance
7.2. 'Variation' in Time, Speed and Distance
7.3. Concept of Relative Speed
BOATS AND STREAMS
13
TRAINS
13
10.1.
10.2.
10.3.
10.4.
10.5.
10.6.
10.7.
10.8.
10.9.
10.10.
10.11.
10.12.
10.13.
10.14.
10.15.
10.16.
10.17.
Triangle
Quadrilateral
Circles
Regular Polygon
Cuboid
Cube
Prism
Cylinder
Cone
Pyramid
Frustum of a Right Circular Cone
Right Parallelopiped
Sphere
Ellipse
Star
Common Conversions in Mensuration
Some Typical Problems of Plane
and Solid Figures
11. BASIC ALGEBRA
11.1.
11.2.
11.3.
11.4.
11.5.
11.6.
11.7.
Algebraic Expressions
Remainder Theorem
Factor Theorem
Important Algebraic Formulas
Linear Equations
Quadratic Equations
Inequalities
12. SEQUENCES
12.1. Arithmetic Sequence
12.2. Geometric Sequence
12.3. Harmonic Sequence
13. SET THEORY
13.1.
13.2.
13.3.
13.4.
Definition of a Set
Types of Sets
Operations on Sets
Laws of Sets
14. GEOMETRY
14.1. Lines and Angles
14.2. Polygons
14.3. Triangles
15.1.
15.2.
15.3.
15.4.
15.5.
15.6.
15.7.
15.8.
15.9.
15.10.
15.11.
11
12
9.
14
14
14
15
15
16
16
16
16
16
16
17
17
17
17
17
17
18
21
21
21
22
22
22
23
24
16.1.
16.2.
16.3.
16.4.
26
26
26
27
27
28
28
29
29
Right Angular Co-ordinate Axes
Position of a Point in a Plane
Distance Formula
Section Formula
Section Formula (External)
Centroid
Circles
Parabola
Ellipse
Hyperbola
Application of Parabola, Ellipse
and Hyperbola
Fundamental Principle of Counting
Permutation
Circular Permutations
Combinations
17. PROBABILITY
17.1.
17.2.
17.3.
17.4.
17.5.
17.6.
17.7.
17.8.
17.9.
17.10.
30
31
31
32
34
16. PERMUTATION AND COMBINATION
34
34
34
34
34
34
35
35
35
35
35
36
36
36
37
38
42
Terminology
Types of Events
Algebra of Events
Probability of An Event
Total Law of Probability
Conditional Probability
Independent Events
Odds in Favour and Odds Against
Statistical Probability
Expectation
42
43
43
43
43
44
44
44
44
44
18. CUBE RELATION TEST
19. DICE RELATION TEST
45
46
20. FIGURE ANALYSIS TEST
47
21. TIME AND CALENDAR TEST
47
21.1. Clocks
21.2. Calendar

47
47
MULTIPLE CHOICE QUESTIONS
49
SECTION C
25
25
25
25
Locus of a Moving Point
Concurrent Lines in a Triangle
Quadrilaterals
Circles and their Tangents
15. CO-ORDINATE GEOMETRY
11
8.
10. MENSURATION
14.4.
14.5.
14.6.
14.7.
9
BASIC NUMERACY
1.
C-1 – C-242
NUMBER SYSTEM
1.1.
1.2.
1.3.
1.4.
1.5.
Introduction
Numbers and their Basic Classification
Some More Types of Number
Place Value and Face Value of Number
To Find out Whether a Given Number
is Prime or Not
1.6. Four Basic Operations of Numbers
1.7. Formulaes used for Solving Special
Type of Product
1.8. Progression
3
3
3
3
3
3
4
5
6
(iv)

2.

3.
SOME IMPORTANT POINTS
EXERCISE-1
9
EXERCISE-2
12
HCF AND LCM OF NUMBERS
2.1. Introduction
2.2. Highest Common Factor (HCF)
2.3. Least Common Multiple (LCM)
2.4. Some Important Results
19
19
19
20
20
SOME IMPORTANT POINTS
20

EXERCISE-1
22

EXERCISE-2
26
DECIMAL FRACTION
3.1. Types of Fraction
3.2. Comparison of Fractions
3.3. Short Cut Method for Comparision
of Fraction
3.4. Inserting Fractions in Between
two Given Fractions
3.5. Decimal Fractions
3.6. Relation Between Decimal Fraction
and Normal Fraction
3.7. Addition and Subtraction of
Decimal Fraction
3.8. Multiplication of Decimal Fraction
3.9. Division of Decimal Fraction
3.10. Conversion of a Decimal Fraction
into a Vulgar Fraction
3.11. Types of Decimals
3.12. Conversion of Pure Recurring Decimal
into a Vulgar Fraction
3.13. Conversion of Mixed Recurring Decimal
into A Vulgar Fraction
3.14. Standard form of Decimal
3.15. Conversion of Decimal Fraction into
Standard Form (or Scientific Notation)

4.
7
SOME IMPORTANT POINTS
29
29
29
30

6.
7.
8.
37

EXERCISE-2
42

51
51
51
51
51
51
52
52

EXERCISE-1
54

EXERCISE-2
62
9.
72
72
72
EXERCISE-1
76
EXERCISE-2
82
RATIO AND PROPORTION
92
SOME IMPORTANT POINTS
92
92
92
92
92
92
93

EXERCISE-1
96

EXERCISE-2
100
AVERAGE
106
106
106
106

EXERCISE-1
109

EXERCISE-2
114
CHAIN RULE
8.1.
8.2.
8.3.
8.4.
35
71
71
71
72

7.1. Introduction
7.2. Combined Average
7.3. Short Cuts for Solving Problems
on Average
33
71

Ratio
Composition of Ratios
Comparison of Ratios
Ratio of Greater Inequality or Lesser
Inequality or Equality
6.5. Proportion
6.6. Some Useful Results on Proportion
32
33
34
34
SOME IMPORTANT POINTS
6.1.
6.2.
6.3.
6.4.

EXERCISE-1
4.1. Operation Order Sequence
4.2. Simplification of a Mixed Fraction
4.3. Short Cut Method of Addition of
Mixed Fraction
4.4. Short Cut Method of Subtraction of
a Whole Number and Fraction
4.5. Short Cut Method of Subtraction of
Mixed Number
4.6. Multiplication of a Whole Number and
Mixed Fraction
4.7. Division of a Mixed Fraction by a
Whole Number
Introduction
Conversion of Percent
Finding a Percentage of a Given Number
Finding the Original Number from
its Percent
5.5. Two Different Percentages of a Number
5.6. Finding How Much Percent one
Quantity is of Another Quantity
31
31
32
32
PERCENTAGE AND ITS APPLICATION
5.1.
5.2.
5.3.
5.4.
30
31
31

SIMPLIFICATION
5.
Introduction
Variation
Direct Variation
Indirect or Inverse Variation
SOME IMPORTANT POINTS
121
121
121
121
121
121

EXERCISE-1
123

EXERCISE-2
126
POWERS AND EXPONENTS
130
9.1.
9.2.
9.3.
9.4.
9.5.
9.6.
9.7.
Laws of Exponents
Square of a Number
Short Cut to find Square of a Number
Cube of a Number
Short Cut to find Cube of a Number
Higher Exponents
Short Cut to find Unit Digit in
Higher Exponents
9.8. Complex Exponents
130
130
130
131
131
132
132
133
(v)

SOME IMPORTANT POINTS
133

EXERCISE-1
135

EXERCISE-2
138
10. SURDS AND INDICES
10.1.
10.2.
10.3.
10.4.
10.5.
10.6.
10.7.
10.8.
10.9.
10.10.
10.11.
10.12.
10.13.
10.14.
10.15.
10.16.
10.17.
10.18.
Introduction
Order of Surds
Quadratic Surd
Cubic Surd
Quartic Surd
Difference between Simple Surd
and Compound Surd
Difference between Pure Surd
and Mixed Surd
Similarity of Surds
Conjugate Surds
Laws of Surds
Shortcut to Convert Mixed Surd
into Pure Surd
To Convert Given Surd as Mixed Surd
in the Simplest form
Shortcut to Convert a Surd into
a Surd of given Order
To Convert the Surds of Different
Orders to those of Same Order
Comparison of Surds
Addition and Subtraction of Surds
Multiplication and Division of Surds
Rationalisation of Surds
145
145
145
145
145
145
145
145
145
145
145
145
146
146
146
146
146
147
147

10.19. Rationalisation of the Denominator
of a Fraction
10.20. Square Root of Surd
10.21. Indices
10.22. Laws of Indices
147
SOME IMPORTANT POINTS
150
149
149
149

EXERCISE-1
152

EXERCISE-2
159
SECTION D
DATA INTERPRETATION

INTRODUCTION
D-1 – D-80
3
1.
TABLE CHARTS
2.
BAR CHARTS/GRAPHS
21
3.
X-Y CHARTS/GRAPHS
33
4.
PIE CHARTS/GRAPHS
41
5.
MIX CHARTS/GRAPHS
50
6.
CASELETS
56
7.
DATA SUFFICIENCY
59

EXERCISE
6
59

PRACTICE TEST PAPER-I
1-12

PRACTICE TEST PAPER-II
13-24