POST UTME BOWEN UNIVERSITY 2024 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the determinant of the matrix \( egin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix} \)
A. -1
B. 1
C. 2
D. 3
Question 2
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 3
Solve for x in the equation \( \log_{10} \( x^2 \) = 4 \).
A. 10
B. 100
C. 1000
D. 10000
Question 4
Solve the equation \( x^2 + 4x + 4 = 0 \) u\sing the quadratic formula.
A. \( x = -2 \pm \sqrt{2} \)
B. \( x = -2 \pm \sqrt{3} \)
C. \( x = -2 \pm \sqrt{4} \)
D. \( x = -2 \pm \sqrt{5} \)
Question 5
Find the value of $\log_{10} \( x^2 \) = 4$.
A. 10^4
B. 10^8
C. 10^2
D. 10^6
Question 6
Solve the system of equations \( \begin{cases} x + y = 4 \ 2x - 3y = -3 \end{cases} \).
A. \{ (1, 3), (2, 2) \}
B. \{ (1, 2), (2, 3) \}
C. \{ (2, 1), (3, 2) \}
D. \{ (3, 1), (4, 2) \}
Question 7
A histogram of exam scores has a mean of 70 and a s\tandard deviation of 10. If the scores are normally distributed, what is the probability that a randomly selected score is between 60 and 80?
A. 0.68
B. 0.76
C. 0.84
D. 0.92
Question 8
Solve the equation $x^2 - 4x + 4 = 0$.
A. x = 2
B. x = 1
C. x = 3
D. x = 4
Question 9
Solve the inequality \( 2x^2 + 3x - 1 > 0 \) u\sing the quadratic formula.
A. \( x < -\frac{1}{2} \) or \( x > \frac{1}{2} \)
B. \( x < -\frac{1}{2} \) or \( x < \frac{1}{2} \)
C. \( x > -\frac{1}{2} \) or \( x > \frac{1}{2} \)
D. \( x > -\frac{1}{2} \) or \( x < \frac{1}{2} \)
Question 10
Solve the system of linear equations u\sing matrices: \( egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 7 \ 10 \end{bmatrix} \).
A. \( egin{bmatrix} 2 \ 1 \end{bmatrix} \)
B. \( egin{bmatrix} 1 \ 2 \end{bmatrix} \)
C. \( egin{bmatrix} 3 \ 4 \end{bmatrix} \)
D. \( egin{bmatrix} 4 \ 3 \end{bmatrix} \)
Question 11
Solve the system of linear equations \( egin{cases} x + y = 2 \ 2x - y = 3 \end{cases} \)
A. (1, 1)
B. (2, 0)
C. \( 3, -1 \)
D. \( 4, -2 \)
Question 12
A random variable ( X ) has a probability distribution given by \( P\( X = x \ \) = \frac{1}{2} ) for \( x = 1, 2, 3 \). Find the expected value of ( X ).
A. ( 2 )
B. ( 3 )
C. ( 4 )
D. ( 5 )
Question 13
Solve the quadratic equation \( x^2 + 4x + 4 = 0 \)
A. -2
B. 0
C. 2
D. 4
Question 14
Find the value of ( x ) in the equation \( 2^x + 5^x = 7^x \).
A. ( 2 )
B. ( 3 )
C. ( 4 )
D. ( 5 )
Question 15
A cone has a radius of 4cm and height of 6cm. Find the volume of the cone.
A. 16\pi \text{cm}^3
B. 32\pi \text{cm}^3
C. 48\pi \text{cm}^3
D. 64\pi \text{cm}^3

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: