Electrical Engineering Orientation/Algebra and Precalculus

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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.

Lessons in Electric Engineering Orientation
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Lesson #2:
Quiz Test 1:
Quiz Test 2:
Quiz Test 3:
Quiz Test 4:
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Mathematics Aptitude test2: Questionaire

1

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

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

2

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

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

4

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

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

5

 ${\displaystyle x_{1,2}={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}}$ 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) ${\displaystyle {\frac {2+32}{15}}=2.267}$ (B) 12 (C) ${\displaystyle {\frac {2+32}{2}}=17}$ (D) None of the above

7

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

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

8

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

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

9

Which of the following diagrams is the correct sketch representation of the following constraints:

• ${\displaystyle 15x+6y\leq 3000}$
• ${\displaystyle 5x+4y\leq 1300}$
• ${\displaystyle x+2y\leq 500}$

...

...

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

10

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

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

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