(1) Basic Operations: Basic Operations, Polynomials, Factorization, Remainder Theorem & Factorization Theorem ; H.C.F. & L.C.M. of polynomials ; Rational Expressions, Surds & indices.

(2) Linear Equations : Simultaneous linear equation in two variables, analytical and graphical solutions. Simultaneous linear in equations. Practical problems on linear equations.

(3) Quadratic Equation : Solution of quadratic equations, Relation between roots and coefficients (only real roots to be considered). Practical problem on quadratic equations.

(4) Set Theory : Set language and set notation.
Union, Intersection & Complementations of sets and their properties.

If x^{100} + 2x^{99} + k is divisible by (x + 1), then the value of k is:

** Option :**

**A.**1

**B.**-3

**C.**2

**D.**-2

**A**

One of the factors of 3x^{3} + x^{2} - 12x - 4 is :

** Option :**

**A.**3x - 2

**B.**3x + 2

**C.**3x - 1

**D.**3x + 1

**D**

The solution of the system of simultaneous linear equations

4x - 3y = 7 and 7x + 5y = 2 is :

** Option :**

**A.**x = 1, y = 1

**B.**x = -1, y = 1

**C.**x = -1, y = -1

**D.**x = 1, y = -1

**D**

If 2x + 3y = 12 and 3x - 2y = 5, then x and y must have the values :

** Option :**

**A.**2 and 3

**B.**2 and -3

**C.**3 and -2

**D.**3 and 2

**D**

The set of homogeneous simultaneous equations

4x + 2y = 0 and

6x + 3y = 0 has :

** Option :**

**A.**x = 0, y = 0 as solutions

**B.**x = 0, y = 0 and x = 1, y = -2 as solutions

**C.**x = 0, y = 0 ; x = -1, y = 2 and x = 1, y = -2 as solutions

**D.**an infinite number of solutions.

**D**