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## UPSC Mathematics Optional for IAS and IFoS

### BASIC NUMERACY (BN)

1. Number System
2. LCM & HCF
3. Rational Numbers & Ordering
4. Decimal Fractions
5. Simplification
6. Square Roots & Cube Roots
7. Surds & Indices
8. Ratio & proportion
9. Percentages
10. Averages
11. Set theory
12. Divisibility Rules
13. Remainder Theorem

### General Mental Ability (GMA)

1. Partnership
2. Profit & loss
3. Time and Distance
4. Trains
5. Time & work
6. Work & Wages
7. Boats & Streams
8. Pipes & Cisterns
9. Simple Interest & Compound Interest
10. Allegation & Mixtures
11. Mensuration & Area
12. Permutations & Combinations
13. Probability
14. Geometry

## Logical Reasoning And Analytical Ability (LR & AA)

1. Analogy
2. Classification
3. Series
4. Coding-Decoding
5. Blood Relations
6. Direction Sense Test
7. Logical Venn Diagram
8. Alphabet Test

9. seating Arrangement
10. Mathematical Operations
11. Arithmetical Reasoning
12. Inserting the missing character
13. Eligibility Test
14. Number, Ranking and Time sequence Test
15. Clock
16. Calendar
17. Problems on Ages
18. Cubes & Dice
19. Syllogism
20. Statement & Arguments
21. Statement & Assumptions
22. Statement & Course of Action
23. Statement & Conclusions
24. Deriving Conclusion
25. Assertion & Reason
26. Punch Lines
27. Situation Reaction Test
28. Cause & Effect
29. Analytical Reasoning
30. Mathematical puzzles & patterns

### DATA INTERPRETATION & DATA SUFFICIENCY (DI & DS)

1. Table Chart
2. Pie Chart
3. Bar Chart
4. Line Chart
5. Mixed Charts
II. Data Sufficiency

### GENERAL COMPREHENSION (GC) (Domain/Topics for Passage)

1. Economy
2. Research Paper
3. Socio-Political International Issue
4. Philosophical Speech/Write up
5. Current Events
6. Fiction

8. Biography/Autobiography
9. Science & Technology
10. Environment & Ecology
11. Sports
12. History, Art & culture
13. Governance

### Decision Making (DM)

1. Understanding of hierarchy discipline
2. General Bases of  Decision making
3. Bureaucratic decision making process
4. Adherence of Norms Policies guidelines related with decision making
5. Ethical and Emotional aspects
6. Humanistic approach
7. Rationality, Integrity Honesty in decision making
8. Avoidance of Nepotism, Favoritism, Influence Factors for decision making

### Interpersonal & Communication Skills(IPS)

1. Understanding of Communication & interpersonal skill with positive & negative aspects
2. Relation with senior, peer and junior in working atmosphere
3. To check Intelligence and Emotional quotient
4. Organizational culture, organizational environment  and other ecological factors  that act as a constraint
5. To check different qualities  of candidates as a Team  Member and Leader in organization
6. Intra and inter organizational aspect including public relations