POST UTME AFE BABALOLA UNIVERSITY 2025 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A function f(x) = 2x^2 + 3x - 1 has a local maximum at x = -1. Find the value of the function at x = 0.
A. -1
B. 0
C. 1
D. 2
Question 2
Given the trigonometric identity \( \sin^2 x + \cos^2 x = 1 \), find \( \tan^2 x \).
A. 1
B. 0
C. -1
D. 2
Question 3
Given the matrix A = egin{bmatrix} 2 & 1 \ 4 & 3 \end{bmatrix}, find the determinant of A.
A. 1
B. -1
C. 5
D. 7
Question 4
Find the equation of the circle pas\sing through the points (2, 3), (4, 1), and (6, 5).
A. \left\( x - 4 \right \)^2 + \left\( y - 3 \right \)^2 = 5
B. \left\( x - 2 \right \)^2 + \left\( y - 1 \right \)^2 = 10
C. \left\( x - 6 \right \)^2 + \left\( y - 5 \right \)^2 = 15
D. \left\( x - 8 \right \)^2 + \left\( y - 7 \right \)^2 = 20
Question 5
A snail is at the bottom of a 20-foot well. Each day, it climbs up 3 feet, but at night, it slips back 2 feet. How many days will it take for the snail to reach the top of the well?
A. 6 days
B. 7 days
C. 8 days
D. 9 days
Question 6
Solve the quadratic equation \( x^2 + 5x + 6 = 0 \) u\sing the quadratic formula.
A. \( x = -2, x = -3 \)
B. \( x = -1, x = -6 \)
C. \( x = 2, x = 3 \)
D. \( x = 1, x = 6 \)
Question 7
A circle has a radius of 6 cm. Calculate the circumference of the circle u\sing the formula C = 2πr.
A. 37.68
B. 75.36
C. 113.04
D. 150.72
Question 8
A random sample of 25 students from a university had a mean height of 175.5 cm with a s\tandard deviation of 5.2 cm. If the population s\tandard deviation is unknown, calculate the 95% confidence interval for the population mean.
A. 170.3 cm, 180.7 cm
B. 168.1 cm, 182.9 cm
C. 169.5 cm, 181.5 cm
D. 171.1 cm, 179.9 cm
Question 9
Solve the inequality \( \frac{x^2 - 4x - 5}{x + 1} geq 0 \) for ( x in mathbb{R} ).
A. \( -infty, -1 \ \) cup [3, infty) )
B. \( -infty, -1 \ \) cup \( -1, 3 \) )
C. \( -infty, 3 \ \) cup (3, infty) )
D. \( -infty, -1 \ \) cup [1, infty) )
Question 10
A rec\tangular solid has dimensions $10 \text{ cm} \times 5 \text{ cm} \times 3 \text{ cm}$. What is the volume of the solid?
A. 150
B. 200
C. 250
D. 300
Question 11
A right-angled triangle has a base of 5 cm and a height of 12 cm. Calculate the length of the hypotenuse u\sing the Pythagorean theorem.
A. 13
B. 14
C. 15
D. 16
Question 12
Solve the equation \( x^2 + 4x + 4 = 0 \).
A. -2
B. -1
C. 1
D. 2
Question 13
Solve the system of linear equations u\sing matrices: \( egin{cases} x + 2y = 6 \ 3x - 2y = 2 \end{cases} \).
A. \( x = 2, y = 2 \)
B. \( x = 2, y = 1 \)
C. \( x = 1, y = 2 \)
D. \( x = 1, y = 1 \)
Question 14
A histogram of exam scores is shown below. What is the mean score?
A. 50
B. 60
C. 70
D. 80
Question 15
A matrix A has the following elements: \[A = \begin{bmatrix} 2 & 3 \\ 4 & 5 \end{bmatrix}\]. If B = 2A, find the determinant of B.
A. 20
B. 40
C. 60
D. 80

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