POST UTME RHEMA UNIVERSITY 2023 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A matrix A is given by \( A = \begin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} \ \). Find the determinant of A.
A. -2
B. 0
C. 2
D. 4
Question 2
Find the derivative of the function ( f(x) = \frac{1}{x^2} ) u\sing the power rule.
A. \( -\frac{2}{x^3} \)
B. \( \frac{2}{x^3} \)
C. \( -\frac{1}{x^3} \)
D. \( \frac{1}{x^3} \)
Question 3
Solve for x in the equation: \( \log_{2} \( x^2 \ \) = 4 ).
A. 4
B. 8
C. 16
D. 32
Question 4
Find the area under the curve \( y = \sin\( x \ \) ) from \( x = 0 \) to \( x = \frac{pi}{2} \).
A. 1
B. 2
C. \frac{pi}{2}
D. pi
Question 5
Find the volume of the solid formed by revolving the region bounded by the curves \( y = x^2 \) and \( y = 4 - x^2 \) about the x-axis.
A. 16\pi
B. 32\pi
C. 64\pi
D. 128\pi
Question 6
Find the sum of the first 10 terms of the geometric series $\frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \cdots$.
A. \frac{1023}{2048}
B. \frac{1024}{2048}
C. \frac{1025}{2048}
D. \frac{1026}{2048}
Question 7
A set of 5 consecutive integers has a median of 10. What is the sum of the integers?
A. 50
B. 100
C. 150
D. 200
Question 8
Find the derivative of the function ( f(x) = \frac{1}{\sqrt{x}} ) u\sing the chain rule.
A. \( -\frac{1}{2x^{3/2}} \)
B. \( \frac{1}{2x^{3/2}} \)
C. \( -\frac{1}{x^{3/2}} \)
D. \( \frac{1}{x^{3/2}} \)
Question 9
Find the value of [ x ] in the equation [ \log_{10} \( x^2 \) = 4 ].
A. 2
B. 4
C. 8
D. 16
Question 10
A histogram of exam scores is shown. What is the s\tandard deviation of the scores?
A. 5
B. 10
C. 15
D. 20
Question 11
Find the surface area of the sphere with radius 5 cm.
A. 100\pi
B. 200\pi
C. 300\pi
D. 400\pi
Question 12
Solve for [ x ] in the equation [ 2^x + 3^x = 5^x ].
A. 1
B. 2
C. 3
D. 4
Question 13
A survey of 100 students found that 60 students preferred pizza, 30 students preferred burgers, and 10 students preferred both. What is the probability that a randomly selected student prefers pizza or burgers?
A. 0.7
B. 0.75
C. 0.8
D. 0.85
Question 14
Solve the equation \( \log_{10} \( x^2 \ \) = 4 \) for x.
A. 2
B. 4
C. 8
D. 16
Question 15
A histogram of exam scores is shown. What is the mean score?
A. 45
B. 50
C. 55
D. 60

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