POST UTME RHEMA UNIVERSITY 2019 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve the matrix equation AX = B, where A = \begin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix}, X = \begin{bmatrix} x \ y \end{bmatrix}, and B = \begin{bmatrix} 5 \ 6 \end{bmatrix}.
A. \begin{bmatrix} 1 \ 2 \end{bmatrix}
B. \begin{bmatrix} 2 \ 3 \end{bmatrix}
C. \begin{bmatrix} 3 \ 4 \end{bmatrix}
D. \begin{bmatrix} 4 \ 5 \end{bmatrix}
Question 2
Solve the matrix equation \( \begin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} \begin{bmatrix} x \ y \end{bmatrix} = \begin{bmatrix} 3 \ 7 \end{bmatrix} \) for x and y.
A. \( x = 1, y = 2 \)
B. \( x = 2, y = 1 \)
C. \( x = 3, y = 4 \)
D. \( x = 4, y = 3 \)
Question 3
Find the area under the curve \( y = x^2 \) from \( x = 0 \) to \( x = 2 \) u\sing integration.
A. \( A = \frac{8}{3} \)
B. \( A = \frac{16}{3} \)
C. \( A = \frac{24}{3} \)
D. \( A = \frac{32}{3} \)
Question 4
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( -∞, -1 \) ∪ (3, ∞)
B. \( -∞, 1 \) ∪ (3, ∞)
C. \( -∞, -1 \) ∪ (1, ∞)
D. \( -∞, 3 \) ∪ (1, ∞)
Question 5
Find the area under the curve \( y = \frac{1}{x^2} \) from \( x = 1 \) to \( x = 2 \).
A. 0.5
B. 1
C. 1.5
D. 2
Question 6
Solve the trigonometric equation \( \sin^2 x + \cos^2 x = 1 \) for ( x ) in the interval ( [0, 2pi] ).
A. \( x = \frac{pi}{4}, \frac{3pi}{4} \)
B. \( x = \frac{pi}{4}, \frac{5pi}{4} \)
C. \( x = \frac{pi}{4}, \frac{7pi}{4} \)
D. \( x = \frac{pi}{4}, \frac{9pi}{4} \)
Question 7
Find the value of ( x ) in the equation \( \log_{10}\( x \ \) = 2 ).
A. \( x = 100 \)
B. \( x = 10 \)
C. \( x = 1 \)
D. \( x = 0.1 \)
Question 8
Solve the equation \( \sin\( x \ \) = \cos(x) ).
A. \( x = \frac{pi}{4} \)
B. \( x = \frac{3pi}{4} \)
C. \( x = \frac{5pi}{4} \)
D. \( x = \frac{7pi}{4} \)
Question 9
Find the derivative of the function f(x) = x^3 - 2x^2 + x - 1.
A. 3x^2 - 4x + 1
B. 3x^2 - 4x + 2
C. 3x^2 - 4x - 1
D. 3x^2 - 4x - 2
Question 10
Determine the value of x in the equation \( \frac{x}{2} + \frac{1}{3} = \frac{7}{12} \).
A. 1
B. 2
C. 3
D. 4
Question 11
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 12
Solve the inequality \( 2x - 5 > 3 \).
A. x > 4
B. x < 4
C. x > 2
D. x < 2
Question 13
Find the value of x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 14
Solve the quadratic equation \( x^2 + 4x + 4 = 0 \) u\sing the quadratic formula. What is the value of ( x )?
A. 0
B. -2
C. 2
D. -4
Question 15
Solve the inequality \( 2x^2 + 5x - 3 > 0 \) u\sing the quadratic formula.
A. \( x < -\frac{5}{4} \) or \( x > \frac{3}{2} \)
B. \( x < \frac{3}{2} \) or \( x > -\frac{5}{4} \)
C. \( x < -\frac{3}{2} \) or \( x > \frac{5}{4} \)
D. \( x < \frac{5}{4} \) or \( x > -\frac{3}{2} \)

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: