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.

Mathematics Aptitude test2: Questionaire <quiz display=simple> { If $f(x)$ is a polynomial of the third degree of x and $f(a)=0$, then ... type="()" } - (A) $f(x)=0$. + (B) a is a root of $f(x)$. - (C) a is negative. - (D) a is positive. { In the following equation $f(x)=a{x}^2+bx+c$, $4$ is called a discriminant. If $4\ge 0$ then ... type="()" } - (A) Roots are real and equal. - (B) Roots are real and unequal. + (C) Roots are real. - (D) None of the above. { Which of the following graphs represents $f(x)=x^2-4$ ? File:ELE-PRE-MAT1-1.png type="()" } + (A) - (B) - (C) - (D) { By exponential laws the following expression $2^{x-2}{3}^{x-2}$ can be simplified to which of the following expressions? type="()" } + (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. { $x_{1,2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ is generally known as ... type="()" } - (A) Phythagorus theorem. + (B) Quadratic formula. - (C) Trigonometric Identity. - (D) Gas equation. { The 1st term of an arithmetic sequence is 2 and the 15th term is 32. what is the middle term? type="()" } - (A) $\frac{2+32}{15}=2.267$ - (B) 12 + (C) $\frac{2+32}{2}=17$ - (D) None of the above { The first derivative of the function $f(x)=6x^2-3x-1$ is ... type="()" } + (A) $\frac{df}{dx}=12x-3$ - (B) $\frac{d^{2}f}{d{x}^2}=12x$ - (C) $\frac{d^{2}f}{d{x}^2}=0$ - (D) $f(x)=6x^2-3x$ { What is a local maximum of the following polynomial $A=2t^3-3t^2+t$ is ... type="()" } - (A) 3 - (B) 1 - (C) 6 - (D) $\frac{1}{3}$ + (E) None of the above { Which of the following diagrams is the correct sketch representation of the following constraints: $15x+6y\le 3000$ $5x+4y\le 1300$ $x+2y\le 500$ ... File:ELE-PRE-MAT1-2.png ... type="()" } - (A) + (B) - (C) - (D) { 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 ... type="()" } - (A) $P=200(150)+5000(150)$. - (B) $P=200(200)+5000(200)$. - (C) $P=200(160)+5000(325)$. + (D) None of the above. </quiz> Template:Center topnext lesson Template:Center bottom Template:Center topmain menu Template:Center bottom