POST UTME RHEMA UNIVERSITY 2023 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A circle has a radius of 4 cm. Find the area of the circle.
A. 16π
B. 32π
C. 64π
D. 128π
Question 2
Solve for x in the equation \log_{10} \( x^2 \) = 4.
A. 10
B. 100
C. 1000
D. 10000
Question 3
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 4
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 5
A box contains 3 red balls and 2 blue balls. If 2 balls are drawn at random, what is the probability that both balls are blue?
A. \frac{1}{10}
B. \frac{2}{10}
C. \frac{3}{10}
D. \frac{4}{10}
Question 6
Find the value of [ x ] in the equation [ \log_{10} \( x^2 \) = 4 ].
A. 2
B. 4
C. 8
D. 16
Question 7
A histogram is constructed from the following data: 5, 7, 9, 11, 13, 15, 17, 19, 21, 23. Determine the class width.
A. 2
B. 4
C. 6
D. 8
Question 8
In the diagram below, the circle has a radius of 5 units. If the line segment AB is a chord of the circle, what is the length of AB?
A. 5\sqrt{3}
B. 10\sqrt{3}
C. 15\sqrt{3}
D. 20\sqrt{3}
Question 9
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 10
Find the derivative of the function $f(x) = \frac{1}{x^2 + 1}$ 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 11
Solve the inequality [ 2x - 5 > 3x + 2 ].
A. x < -1
B. x > -1
C. x < 1
D. x > 1
Question 12
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 13
Find the area under the curve [ y = \frac{1}{2}x^2 + 3x - 2 ] from [ x = 0 ] to [ x = 4 ].
A. 24
B. 32
C. 48
D. 64
Question 14
Solve the equation \( \log_{10} \( x^2 \ \) = 4 ) for x.
A. 2
B. 4
C. 6
D. 8
Question 15
In a geometric sequence, the first term is 2 and the common ratio is 3. Find the 5th term.
A. 486
B. 729
C. 2187
D. 6561

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