POST UTME JOSEPH AYO BABALOLA UNIVERSITY 2017 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the area under the curve y = x^2 from x = 0 to x = 4.
A. 64
B. 80
C. 96
D. 128
Question 2
In a normal distribution with mean \( mu = 10 \) and s\tandard deviation \( sigma = 2 \), find the probability that a randomly selected value lies between 8 and 12.
A. 0.5
B. 0.75
C. 0.866
D. 0.95
Question 3
Find the volume of the solid formed by revolving the region bounded by the curves y = 2x^2, y = 0, and x = 2 about the x-axis.
A. \frac{256\pi}{15}
B. \frac{512\pi}{15}
C. \frac{256\pi}{3}
D. \frac{512\pi}{3}
Question 4
Find the sum of the first 5 terms of the geometric sequence ( 2, 6, 18, 54, ... ).
A. 242
B. 242
C. 242
D. 242
Question 5
Find the determinant of the matrix \( \begin{bmatrix} 2 & 3 & 1 \ 4 & 1 & 2 \ 3 & 2 & 4 \end{bmatrix} \ \).
A. 10
B. 20
C. 30
D. 40
Question 6
Solve the system of equations $\begin{cases} x + y = 2 \ x - 2y = -3 \end{cases}$.
A. (1, 1)
B. \( 1, -1 \)
C. \( -1, 1 \)
D. \( -1, -1 \)
Question 7
In a circle of radius 6, a chord of length 8 is drawn. If the chord is ext\ended by 4 units, what is the length of the new chord?
A. 12
B. 10
C. 8
D. 6
Question 8
Find the derivative of the function [ f(x) = \frac{1}{x^2 + 1} ].
A. \frac{-2x}{\( x^2 + 1 \)^2}
B. \frac{2x}{\( x^2 + 1 \)^2}
C. \frac{-1}{\( x^2 + 1 \)^2}
D. \frac{1}{\( x^2 + 1 \)^2}
Question 9
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 10
A set of 5 numbers has a mean of 10 and a s\tandard deviation of 2. If 3 more numbers are added to the set, the new mean is 12. What is the sum of the 3 additional numbers?
A. 30
B. 60
C. 90
D. 120
Question 11
A survey of 100 students found that 60% of them preferred Mathematics, 20% preferred Science, and 20% preferred English. If 10 students preferred both Mathematics and Science, and 5 students preferred both Mathematics and English, find the number of students who preferred only Mathematics.
A. 40
B. 45
C. 50
D. 55
Question 12
In a right-angled triangle, the length of the hypotenuse is 10 cm and one of the acute angles is 30°. Find the length of the side opposite the 30° angle.
A. 5 cm
B. 7.07 cm
C. 10 cm
D. 15 cm
Question 13
In a normal distribution with mean \( mu = 5 \) and s\tandard deviation \( sigma = 1.5 \), find the z-score corresponding to a value of 6.
A. 1
B. 1.33
C. 1.5
D. 2
Question 14
Find the area under the curve \( y = x^2 - 4x + 3 \) from \( x = 1 \) to \( x = 3 \).
A. 10
B. 12
C. 14
D. 16
Question 15
Find the mean of the data set \( \{ 2, 4, 6, 8, 10 \} \ \).
A. 6
B. 7
C. 8
D. 9

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