POST UTME IGBINEDION UNIVERSITY 2022 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 3x3 matrix is given by \begin{pmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{pmatrix}. What is the determinant of the matrix?
A. 0
B. 3
C. 6
D. 9
Question 2
Solve the inequality \( \frac{x}{x+1} > \frac{1}{x+1} \) for \( x in mathbb{R} setminus {-1} \).
A. x > 0
B. x < -1
C. x > -1
D. x < 0
Question 3
A circle has a radius of 4 cm. Find the area of the circle.
A. 16\pi
B. 32\pi
C. 64\pi
D. 128\pi
Question 4
Solve the inequality \frac{x + 2}{x - 1} > 0.
A. \boxed{x < -2 \text{ or } x > 1}
B. x < -2 \text{ or } x < 1
C. x > -2 \text{ or } x > 1
D. x < -2 \text{ or } x < 1
Question 5
A histogram is a graphical representation of a frequency distribution. What is the shape of the histogram for the following data set: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20?
A. Symmetric
B. Skewed
C. Bell-shaped
D. Uniform
Question 6
Solve the equation $\frac{2x}{x^2-4} = \frac{1}{x-2}$.
A. x = 2
B. x = -2
C. x = 4
D. x = -4
Question 7
Solve the inequality $|x - 2| > 3$.
A. \( -∞, -1 \) ∪ (4, ∞)
B. \( -∞, 1 \) ∪ (4, ∞)
C. \( -∞, -1 \) ∪ (2, 4)
D. \( -∞, 1 \) ∪ (2, 4)
Question 8
Find the determinant of the matrix \( egin{bmatrix} 2 & 1 & 3 \ 4 & 2 & 1 \ 1 & 3 & 2 \end{bmatrix} \).
A. 2
B. -2
C. 4
D. -4
Question 9
Solve the system of equations \( egin{cases} x + y = 4 \ x - 2y = -3 \end{cases} \).
A. (1, 3)
B. (3, 1)
C. (1, 1)
D. (3, 3)
Question 10
Find the value of $\int_0^1 \frac{1}{1+x^2} dx$.
A. 0
B. \frac{\pi}{4}
C. \frac{\pi}{2}
D. \pi
Question 11
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{1}{\( x^2 + 1 \)^2} )
D. ( f'(x) = \frac{-1}{\( x^2 + 1 \)^2} )
Question 12
Find the equation of the line pas\sing through the points (1, 2) and (3, 4).
A. \boxed{y = x + 1}
B. y = x - 1
C. y = x + 2
D. y = x - 2
Question 13
Determine the value of $\frac{d}{dx} \left\( \frac{1}{x^2 + 1} \right \)$ u\sing the quotient rule.
A. \frac{-2x}{\( x^2 + 1 \)^2}
B. \frac{2x}{\( x^2 + 1 \)^2}
C. \frac{-2}{\( x^2 + 1 \)^2}
D. \frac{2}{\( x^2 + 1 \)^2}
Question 14
In the diagram below, a right-angled triangle has a hypotenuse of length 10 cm. If the ratio of the lengths of the other two sides is 3:4, what is the area of the triangle?
A. 6 cm^2
B. 8 cm^2
C. 10 cm^2
D. 12 cm^2
Question 15
Find the surface area of the solid formed by revolving the region bounded by \( y = x^2 \) and \( x = 2 \) about the x-axis.
A. 16pi
B. 32pi
C. 64pi
D. 128pi

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