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.
 * Perhaps it would help you to workout all your answers on a piece of paper, then attempt the questionaire.
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{| cellspacing="0" cellpadding="0" style="margin:0em 0em 1em 0em; width:100%" Mathematics Aptitude test2: Questionaire
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{ {| cellspacing="0" cellpadding="0" style="margin:0em 0em 1em 0em; width:100%" 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.
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{ {| cellspacing="0" cellpadding="0" style="margin:0em 0em 1em 0em; width:100%" In the following equation $$f(x)=ax^2 + bx + c $$, $$\mathcal{4}$$ is called a discriminant. If $$\mathcal{4}\ge 0$$ then ... - (A) Roots are real and equal. - (B) Roots are real and unequal. + (C) Roots are real. - (D) None of the above.
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{ {| cellspacing="0" cellpadding="0" style="margin:0em 0em 1em 0em; width:100%" Which of the following graphs represents $$f(x)=x^2 - 4 $$ ? + (A) - (B) - (C) - (D)
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{ {| cellspacing="0" cellpadding="0" style="margin:0em 0em 1em 0em; width:100%" 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.
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{ {| cellspacing="0" cellpadding="0" style="margin:0em 0em 1em 0em; width:100%" $$x_{1,2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$$ is generally known as ... - (A) Phythagorus theorem. + (B) Quadratic formula. - (C) Trigonometric Identity. - (D) Gas equation.
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{ {| cellspacing="0" cellpadding="0" style="margin:0em 0em 1em 0em; width:100%" 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
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{ {| cellspacing="0" cellpadding="0" style="margin:0em 0em 1em 0em; width:100%" 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) $$f(x)=6x^2 - 3x$$
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{ {| cellspacing="0" cellpadding="0" style="margin:0em 0em 1em 0em; width:100%" 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
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{ {| cellspacing="0" cellpadding="0" style="margin:0em 0em 1em 0em; width:100%" Which of the following diagrams is the correct sketch representation of the following constraints: ...
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 * $$15x + 6y \le 3 000$$
 * $$5x + 4y \le 1 300$$
 * $$x + 2y \le 500$$

... - (A) + (B) - (C) - (D)
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