POST UTME IGBINEDION UNIVERSITY 2020 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the sum of the first \( n \) terms of the geometric series \( 2 + 6 + 18 + \ldots \).
A. \frac{2\( r^n - 1 \)}{r - 1}
B. \frac{2\( r^n - 1 \)}{r + 1}
C. \frac{2\( r^n + 1 \)}{r - 1}
D. \frac{2\( r^n + 1 \)}{r + 1}
Question 2
Solve the inequality \( x^2 - 6x + 8 > 0 \).
A. \( x < 2 \) or \( x > 4 \)
B. \( x > 2 \) or \( x < 4 \)
C. \( x < 4 \) or \( x > 2 \)
D. \( x > 4 \) or \( x < 2 \)
Question 3
Find the equation of the circle with center \( (2, 3) \) and radius \( 4 \).
A. \( x - 2 \)^2 + \( y - 3 \)^2 = 16
B. \( x + 2 \)^2 + \( y - 3 \)^2 = 16
C. \( x - 2 \)^2 + \( y + 3 \)^2 = 16
D. \( x + 2 \)^2 + \( y + 3 \)^2 = 16
Question 4
A vector (mathbf{a}) has magnitude (5) and direction \( 60^circ \) from the positive x-axis. Find the vector (mathbf{a}).
A. \( mathbf{a} = egin{pmatrix} 4 \ 3 \end{pmatrix} \)
B. \( mathbf{a} = egin{pmatrix} 3 \ 4 \end{pmatrix} \)
C. \( mathbf{a} = egin{pmatrix} 5 \ 0 \end{pmatrix} \)
D. \( mathbf{a} = egin{pmatrix} 0 \ 5 \end{pmatrix} \)
Question 5
A random experiment consists of rolling a fair six-sided die and then tos\sing a fair coin. If the number on the die is even, the coin is tossed twice; otherwise, the coin is tossed only once. What is the probability that the number of heads observed is at least 2?
A. \frac{1}{3}
B. \frac{2}{3}
C. \frac{3}{4}
D. \frac{4}{5}
Question 6
Find the equation of the line pas\sing through the points ((1,2)) and ((3,4)).
A. \( y = \frac{1}{2}x + \frac{1}{2} \)
B. \( y = \frac{1}{2}x - \frac{1}{2} \)
C. \( y = 2x - 1 \)
D. \( y = 2x + 1 \)
Question 7
Let \( \mathbf{a} = \begin{pmatrix} 1 \ 2 \ 3 \end{pmatrix} \) and \( \mathbf{b} = \begin{pmatrix} 4 \ 5 \ 6 \end{pmatrix} \). Find the cross product \( \mathbf{a} \times \mathbf{b} \).
A. \begin{pmatrix} -3 \ 6 \ -6 \end{pmatrix}
B. \begin{pmatrix} 6 \ -3 \ 6 \end{pmatrix}
C. \begin{pmatrix} 3 \ -6 \ 3 \end{pmatrix}
D. \begin{pmatrix} -6 \ 3 \ -3 \end{pmatrix}
Question 8
Determine the equation of the circle with center at ((2,3)) and radius (5).
A. \( x^2 + y^2 - 4x + 6y + 4 = 0 \)
B. \( x^2 + y^2 + 4x - 6y + 4 = 0 \)
C. \( x^2 + y^2 - 4x - 6y + 4 = 0 \)
D. \( x^2 + y^2 + 4x + 6y + 4 = 0 \)
Question 9
Find the derivative of the function (f(x) = \frac{1}{x^2 + 1}) u\sing the chain rule.
A. (f'(x) = -\frac{2x}{\( x^2 + 1 \)^2})
B. (f'(x) = \frac{2x}{\( x^2 + 1 \)^2})
C. (f'(x) = \frac{2}{\( x^2 + 1 \)^2})
D. (f'(x) = -\frac{2}{\( x^2 + 1 \)^2})
Question 10
Let \( S = \{ 1, 2, 3, \ldots, 10 \} \). Find the number of subsets of \( S \) that contain exactly three elements.
A. 120
B. 210
C. 252
D. 300

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Help others prepare! Share this practice hub: