# Electrical Engineering Orientation/Algebra and Precalculus  Wikiversity Electrical & Electrical Engineering SchoolsThe Lessons inELECTRICAL/ELECTRONIC ENGINEERING ORIENTATION

## Important Notes & Instructions on Answering the questions

• This Aptitude test is on Algebra and Pre-Calculus.
• Select the most correct answer of the four possible answers to each question.
• Use of calculator allowed.

Mathematics Aptitude test2: Questionaire

1

 If $f(x)$ is a polynomial of the third degree of x and $f(a)=0$ , then ...

 (A) $f(x)=0$ . (B) a is a root of $f(x)$ . (C) a is negative. (D) a is positive.

2

 In the following equation $f(x)=ax^{2}+bx+c$ , ${\mathcal {4}}$ is called a discriminant. If ${\mathcal {4}}\geq 0$ then ...

 (A) Roots are real and equal. (B) Roots are real and unequal. (C) Roots are real. (D) None of the above.

3

 Which of the following graphs represents $f(x)=x^{2}-4$ ?

 (A) (B) (C) (D)

4

 By exponential laws the following expression $2^{x-2}3^{x-2}$ can be simplified to which of the following expressions?

 (A) ${\frac {2^{x}}{2^{2}}}.$ ${\frac {3^{x}}{3^{2}}}$ $={\frac {(2\times 3)^{x}}{(2\times 3)^{2}}}$ (B) $2^{x}.3^{x}+2^{2}.3^{2}=$ $(2\times 3)^{x}+(2\times 3)^{4}$ (C) ${\frac {2^{x-2}}{3^{x+2}}}=2^{x-2}-3^{x+2}$ (D) None of the above.

5

 $x_{1,2}={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}$ is generally known as ...

 (A) Phythagorus theorem. (B) Quadratic formula. (C) Trigonometric Identity. (D) Gas equation.

6

 The 1st term of an arithmetic sequence is 2 and the 15th term is 32. what is the middle term?

 (A) ${\frac {2+32}{15}}=2.267$ (B) 12 (C) ${\frac {2+32}{2}}=17$ (D) None of the above

7

 The first derivative of the function $f(x)=6x^{2}-3x-1$ is ...

 (A) ${\frac {df}{dx}}=12x-3$ (B) ${\frac {{d^{2}}f}{dx^{2}}}=12x$ (C) ${\frac {{d^{2}}f}{dx^{2}}}=0$ (D) $f(x)=6x^{2}-3x$ 8

 What is a local maximum of the following polynomial $A=2t^{3}-3t^{2}+t$ is ...

 (A) 3 (B) 1 (C) 6 (D) ${\frac {1}{3}}$ (E) None of the above

9

 Which of the following diagrams is the correct sketch representation of the following constraints: $15x+6y\leq 3000$ $5x+4y\leq 1300$ $x+2y\leq 500$ ...

 (A) (B) (C) (D)

10

 If the profit made made from selling X and Y is $P=200x+5000y$ then using feasible region selected from Q9 the maximum profit will be ...

 (A) $P=200(150)+5000(150)$ . (B) $P=200(200)+5000(200)$ . (C) $P=200(160)+5000(325)$ . (D) None of the above.