Section – I (Mental ability) :- Number system, Introduction to irrational numbers, Algebra, Factorization of polynomials, Ratio and proportion, Linear equations in two variables, Percentage, Profit and loss, Discount, Compound interest, Cost of living index, Sales tax, Banking, Lines and angles, Congruence, Inequalities in a triangle, Concurrent lines in a triangle, Parallelograms, Areas, Construction, Trigonometric ratios, Plane figures, Solids, Polynomials, Quadratic equations.
Section – II (Logical and analytical reasoning) :- Problems based on figures, Find odd numeral out, Series completion, Coding-decoding, Mathematical reasoning, Analytical reasoning, Mirror images, Embedded figures, Direction sense test, Cubes and dice.
Section – III (Computer and IT) :- Computer system – An overview, Computer software, Communication technology, MS windows ,MS word, MS excel, MS power point.
Euclid’s division lemma, Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and after illustrating and motivating through examples. Proofs of results – irrationality of root 2, root 3, root 5 , decimal expansions of rational numbers in terms of terminating/non-terminating recurring decimals.
Zeros of a polynomial. Relationship between zeros and coefficients of a polynomial with particular reference to quadratic polynomials. Statement and simple problems on division algorithm for polynomials with real coefficients.
2. Pair of Linear Equations in Two Variables
Pair of linear equations in two variables. Geometric representation of different possibilities of solutions/inconsistency.
Algebraic conditions for number of solutions. Solution of pair of linear equations in two variables algebraically – by substitution, by elimination and by cross multiplication. Simple situational problems must be included. Simple problems on equations reducible to linear equations may be... [continues]
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