POST UTME UNIOSUN 2019 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve the inequality \( 2x^2 + 5x - 3 > 0 \)
A. x < -1 or x > 3
B. x < 1 or x > 3
C. x < -3 or x > 1
D. x < 3 or x > 1
Question 2
Solve the inequality $\frac{x-2}{x+1} > 0$.
A. \( -\infty, -1 \) \cup \( 2, \infty \)
B. \( -\infty, -1 \) \cup \( 1, \infty \)
C. \( -\infty, 1 \) \cup \( 2, \infty \)
D. \( -\infty, 1 \) \cup \( 2, \infty \)
Question 3
Find the derivative of the function ( f(x) = 3x^2 - 2x + 1 )
A. 6x - 2
B. 6x + 2
C. 3x^2 - 2
D. 3x^2 + 2
Question 4
Solve the system of equations \( x + y = 4 \) and \( 2x - 3y = 5 \)
A. x = 1, y = 3
B. x = 2, y = 2
C. x = 3, y = 1
D. x = 4, y = 0
Question 5
Determine the value of \( mathbf{a} cdot \( mathbf{b} \times mathbf{c} \ \) ) given that \( mathbf{a} = egin{pmatrix} 2 \ 3 \ -1 \end{pmatrix} \), \( mathbf{b} = egin{pmatrix} 4 \ 1 \ 2 \end{pmatrix} \), and \( mathbf{c} = egin{pmatrix} 1 \ 2 \ 3 \end{pmatrix} \).
A. -14
B. 14
C. -2
D. 2
Question 6
A particle moves along the curve $y = x^2$ from $x = 0$ to $x = 2$. Find the dis\tance traveled by the particle.
A. 6
B. 8
C. 10
D. 12
Question 7
Find the sum of the infinite geometric series \( \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + cdots \).
A. 1
B. 2
C. 3
D. 4
Question 8
Find the determinant of the matrix \( egin{pmatrix} 2 & 1 & 3 \ 4 & 2 & 1 \ 1 & 3 & 2 \end{pmatrix} \).
A. -1
B. 1
C. -2
D. 2
Question 9
Find the area of the triangle with vertices ( (0, 0) ), ( (3, 0) ), and ( (0, 4) )
A. 6
B. 8
C. 10
D. 12
Question 10
Solve the system of equations: x + y = 4 and x - y = 2.
A. x = 3, y = 1
B. x = 1, y = 3
C. x = 2, y = 2
D. x = 4, y = 0
Question 11
Find the volume of the solid formed by revolving the region bounded by $y = x^2$ and $y = 4 - x$ about the $x$-axis.
A. 16\pi
B. 32\pi
C. 48\pi
D. 64\pi
Question 12
Find the area of the region bounded by $y = x^2$, $y = 4 - x$, and the $x$-axis.
A. 8
B. 10
C. 12
D. 14
Question 13
Find the value of x in the equation \( \frac{x}{2} + \frac{3}{4} = \frac{7}{8} \)
A. 1
B. 2
C. 3
D. 4
Question 14
If f(x) = 3x^2 + 2x - 5, find the derivative of f(x) u\sing the chain rule.
A. 6x + 2
B. 6x - 2
C. 3x^2 + 2
D. 3x^2 - 2
Question 15
Determine the value of $x$ in the equation $2^x + 5^x = 7^x$.
A. 1
B. 2
C. 3
D. 4

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