**MATHEMATICAL REASONING**

**(For both General and Technical/Professional Cadres)**

Total
Marks-50

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.

**Marks Distribution**

Full
marks is 50. Twelve questions will be set, each carrying five marks. The
candidate will be asked to answer any ten questions out of twelve.

**MENTAL ABILITY**

**(For both General and Technical/Professional Cadres)**

Total
Marks-50

The
objective of mental ability test is to assess the differential aptitude of the
candidate. The following areas are likely to be covered:

**1. Verbal Reasoning**

**2. Abstract Reasoning**

**3. Space Relations**

**4. Numerical Ability**

**5. Spelling and Language**

**6. Mechanical Reasoning**

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