POST UTME JOSEPH AYO BABALOLA UNIVERSITY 2025 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A rec\tangular prism has a length of 6 cm, a width of 4 cm, and a height of 3 cm. Find its volume.
A. 72
B. 80
C. 96
D. 108
Question 2
A fair six-sided die is rolled. What is the probability that the number rolled is greater than 4?
A. \( \frac{1}{6} \ \)
B. \( \frac{1}{3} \ \)
C. \( \frac{2}{3} \ \)
D. \( \frac{5}{6} \ \)
Question 3
The mean of 5 numbers is 12. If one of the numbers is 15, find the sum of the remaining 4 numbers.
A. 45
B. 48
C. 51
D. 54
Question 4
A sequence is defined by \( a_n = 2n + 1 \). Find the sum of the first 5 terms.
A. 30
B. 40
C. 50
D. 60
Question 5
Solve the trigonometric equation \sin(x) = \cos(x).
A. \frac{\pi}{4}
B. \frac{\pi}{2}
C. \frac{3\pi}{4}
D. \frac{5\pi}{4}
Question 6
A polynomial function has the form f(x) = ax^3 + bx^2 + cx + d. If f(1) = 2, f(2) = 6, and f(3) = 14, what is the value of a + b + c + d?
A. 2
B. 4
C. 6
D. 8
Question 7
Find the sum of the first 10 terms of the geometric series \( 2 + 6 + 18 + ... \).
A. 1230
B. 1240
C. 1250
D. 1260
Question 8
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. \( x + 3 \)^2 + \( y - 2 \)^2 = 16
D. \( x - 3 \)^2 + \( y + 2 \)^2 = 16
Question 9
A set ( A ) contains the elements ( { 1, 2, 3, 4, 5 } ). Find the number of subsets of ( A ) that contain exactly three elements.
A. 10
B. 15
C. 20
D. 25
Question 10
Find the area under the curve y = x^2 + 2x + 1 from x = 0 to x = 3.
A. 27
B. 30
C. 33
D. 36
Question 11
In a survey of 100 students, the mean height was 170 cm with a s\tandard deviation of 5 cm. If the heights of the students are normally distributed, what is the probability that a randomly selected student will be taller than 180 cm?
A. 0.1587
B. 0.3413
C. 0.4772
D. 0.6827
Question 12
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. x < -1 or x > 3/2
B. x < 1 or x > -3/2
C. x < -3/2 or x > 1
D. x < 3/2 or x > -1
Question 13
Solve the system of equations u\sing matrices: \( \begin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} \begin{bmatrix} x \ y \end{bmatrix} = \begin{bmatrix} 7 \ 10 \end{bmatrix} \).
A. \begin{bmatrix} 1 \ 2 \end{bmatrix}
B. \begin{bmatrix} 2 \ 1 \end{bmatrix}
C. \begin{bmatrix} 3 \ 4 \end{bmatrix}
D. \begin{bmatrix} 4 \ 3 \end{bmatrix}
Question 14
Solve for x in the equation \( 2x^2 + 5x - 3 = 0 \).
A. \( x = \frac{-5 \pm \sqrt{5^2 - 4\( 2 \)\( -3 \ \)}}{2(2)} \)
B. \( x = \frac{-5 \pm \sqrt{5^2 - 4\( 2 \ \)(3)}}{2(2)} \)
C. \( x = \frac{-5 \pm \sqrt{5^2 - 4\( 2 \)\( -1 \ \)}}{2(2)} \)
D. \( x = \frac{-5 \pm \sqrt{5^2 - 4\( 2 \)\( -2 \ \)}}{2(2)} \)
Question 15
A histogram shows the distribution of exam scores for a class of 50 students. The histogram has 5 bars, each representing a different score range. If the mean score is 75 and the median score is 80, find the mode of the distribution.
A. 70
B. 75
C. 80
D. 85

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