POST UTME IMS U 2022 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A set A has 5 elements. If a set B is formed by selecting 3 elements from set A, how many different subsets of B can be formed?
A. 10
B. 15
C. 20
D. 25
Question 2
A die is rolled twice. What is the probability that the sum of the two numbers is 7?
A. \( \frac{1}{6} \)
B. \( \frac{1}{3} \)
C. \( \frac{1}{2} \)
D. \( \frac{2}{3} \)
Question 3
Find the volume of the solid formed by revolving the region bounded by the curve \( y = x^2 \), the x-axis, and the line \( x = 2 \) about the x-axis.
A. 16\pi
B. 32\pi
C. 64\pi
D. 128\pi
Question 4
Solve the inequality \( x^2 - 4x + 3 > 0 \).
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 5
A histogram with 5 classes has the following frequencies: 2, 3, 5, 7, 8. Find the mean of the data.
A. 4
B. 5
C. 6
D. 7
Question 6
Solve for x in the equation \( \frac{2x}{x - 1} + \frac{3x}{x + 1} = 5 \).
A. x = 2
B. x = 3
C. x = 4
D. x = 5
Question 7
Solve the system of equations \( x + y = 2 \) and \( xy = 1 \).
A. (1, 1)
B. \( 1, -1 \)
C. \( -1, 1 \)
D. \( -1, -1 \)
Question 8
Find the derivative of ( 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 9
Solve the differential equation \( \frac{dy}{dx} = \frac{y}{x} \) with the initial condition ( y(1) = 2 ).
A. \( y = 2x \)
B. \( y = x^2 \)
C. \( y = \frac{2}{x} \)
D. \( y = x^2 + 2 \)
Question 10
Solve the system of equations u\sing substitution: \( x + y = 5 \) and \( x - y = 3 \).
A. x = 4, y = 1
B. x = 1, y = 4
C. x = 3, y = 2
D. x = 2, y = 3
Question 11
Find the equation of the line pas\sing through the points (2, 3) and (4, 5).
A. y = x + 1
B. y = x - 1
C. y = -x + 3
D. y = x - 3
Question 12
Solve the inequality \( \log_{10} \( x^2 + 1 \ \) > 2 ).
A. \( -∞, -1 \)
B. \( -1, 1 \)
C. (1, ∞)
D. \( -∞, 1 \)
Question 13
A committee of 3 people is to be selected from a group of 5 people. How many different committees can be formed?
A. 10
B. 15
C. 20
D. 25
Question 14
Solve the inequality \( \frac{x^2 - 4}{x + 2} > 0 \).
A. \( x < -2 \text{ or } x > 2 \)
B. \( x < -2 \text{ or } x > 0 \)
C. \( x > -2 \text{ or } x < 0 \)
D. \( x > -2 \text{ and } x < 0 \)
Question 15
A right circular cone has a height of 6 cm and a base radius of 4 cm. Find the volume of the cone.
A. 48\pi
B. 96\pi
C. 192\pi
D. 384\pi

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: