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BCSWritten
BCS written syllabus
General and technical cadres · 235 pages
Compulsory subjects and post-related subjects for professional and technical cadres. Confirm the applicable subject code in the recruitment notice.
Published by BPSC. Collected 2026-11-14. Confirm the edition and subject against your recruitment notice before studying.
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SYLLABUS FOR BCS (WRITTEN) EXAMINATION
10/235
MATHEMATICAL REASONING
(COMPULSORY)
Subject Code: 008
Total Marks-50
Mathematical Reasoning is based on the principles of Logic. A sound knowledge of Mathematical
Reasoning prepares one not only to solve mathematical problems but also develops the intellectual ability to
resolve problems in all spheres of public life and to arrive at impartial and impersonal intelligent decisions.
The examination in Mathematical Reasoning will test the ability of the candidate to apply knowledge of
Mathematics and Mathematical Reasoning acquired up to sec ondary level, especially to concrete
application-oriented problems.
The syllabus of the examination is given below:
1. Simplification of Arithmetic and Algebraic Expressions.
2. Unitary Method, Average, Percentage, Simple and Compound interest, LCM, GCD, Ratio and
Proportion, Profit and Loss.
3. Algebraic Formulas, Factorization of Polynomials, Linear and Quadratic Equations, Linear and
Quadratic Inequalities.
4. Systems of Linear Equations with two or three unknowns.
5. Exponents and Logarithms. Exponential and Logarithmic functions.
6. Arithmetic and Geometric Sequences and Series.
7. Line, Angle, Triangle related theorems. Theorem of Pythagoras, Circle – Theorems, Corollaries.
8. Area related theorems and construction, Mensuration – plane figures and solid objects.
9. Cartesian Geometry- Distance, Equation of a Straight Line.
10. Trigonometric ratios and functions. Problems on height and distances.
11. Set theory. Venn diagram.
12. Counting Principles, Permutations and Combinations. Elementary Probability.