POST UTME UNIBEN 2018 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve the system of linear equations: \( 2x + 3y = 7 \) and \( x - 2y = -3 \).
A. x = 1, y = 2
B. x = 2, y = 1
C. x = 3, y = 4
D. x = 4, y = 3
Question 2
Find the determinant of the matrix \( \begin{bmatrix} 2 & 1 & 1 \ 1 & 2 & 1 \ 1 & 1 & 2 \end{bmatrix} \).
A. 4
B. 6
C. 8
D. 10
Question 3
Determine the mean of the data set: 2, 4, 6, 8, 10. If the mean is increased by 2, what is the new mean?
A. 10
B. 12
C. 14
D. 16
Question 4
Find the mean of the data set: 2, 4, 6, 8, 10.
A. 6
B. 8
C. 10
D. 12
Question 5
A company produces two products, A and B. The profit from product A is $10 per unit, and the profit from product B is $15 per unit. If the company produces 100 units of product A and 50 units of product B, what is the total profit?
A. $1500
B. $2000
C. $2500
D. $3000
Question 6
Solve the system of equations \[\begin{align*} x + y &= 4 \ 2x - 3y &= 5 \end{align*}\] u\sing matrices.
A. \[x = 2, y = 2\]
B. \[x = 1, y = 3\]
C. \[x = 3, y = 1\]
D. \[x = 4, y = 0\]
Question 7
If \( x^2 + 4x + 4 = 0 \), find the value of ( x ).
A. x = -2
B. x = 2
C. x = -1
D. x = 1
Question 8
Find the median of the data set: 2, 4, 6, 8, 10.
A. 4
B. 6
C. 8
D. 10
Question 9
Find the value of x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 10
Solve the system of equations: \( \begin{cases} x + y = 2 \ x - 2y = -3 \end{cases} \).
A. x = 1, y = 1
B. x = -1, y = 3
C. x = 2, y = 0
D. x = 0, y = 2
Question 11
Find the area under the curve \( y = \frac{1}{2}x^2 + 2x - 3 \) from \( x = 0 \) to \( x = 4 \).
A. 40
B. 50
C. 60
D. 70
Question 12
A binary operation * is defined on the set of integers as follows: a * b = a^2 + b^2. Find the value of 2 * 3.
A. 13
B. 15
C. 17
D. 19
Question 13
Solve the equation \(\sin^2 x + \cos^2 x = 1\) for \(x\) in the interval \([0, 2\pi)\).
A. \[x = \frac{\pi}{4}, \frac{3\pi}{4}, \frac{5\pi}{4}, \frac{7\pi}{4}\]
B. \[x = \frac{\pi}{2}, \frac{3\pi}{2}\]
C. \[x = \frac{\pi}{4}, \frac{3\pi}{4}\]
D. \[x = \frac{\pi}{2}, \frac{3\pi}{2}, \frac{5\pi}{4}, \frac{7\pi}{4}\]
Question 14
A set A contains the elements {1, 2, 3, 4, 5}. Find the number of subsets of A that contain exactly two elements.
A. 10
B. 12
C. 15
D. 20
Question 15
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. x < -1 or x > 3
B. x < 1 or x > 3
C. x < -1 or x < 3
D. x > 1 or x < 3

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