POST UTME UNIBEN 2018 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve the inequality x^2 - 2x - 3 < 0.
A. x < 3 or x > -1
B. x < -1 or x > 3
C. x < 1 or x > 2
D. x < 2 or x > 1
Question 2
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
Question 3
A rec\tangular box has a length of 10 cm, a width of 5 cm, and a height of 8 cm. Find the surface area of the box.
A. 120 cm^2
B. 150 cm^2
C. 180 cm^2
D. 200 cm^2
Question 4
Find the determinant of the matrix \( egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} \).
A. -2
B. -1
C. 1
D. 2
Question 5
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 6
A car travels from city A to city B at an average speed of 60 km/h. On the return trip, the car travels at an average speed of 40 km/h. What is the average speed for the entire trip?
A. 50 km/h
B. 55 km/h
C. 60 km/h
D. 65 km/h
Question 7
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 8
Solve the inequality \( x^2 - 6x + 8 > 0 \).
A. x < 2 or x > 4
B. x < 4 or x > 2
C. x < 2 and x > 4
D. x > 2 and x < 4
Question 9
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. 173.1 cm, 177.9 cm
C. 175.5 cm, 185.5 cm
D. 168.1 cm, 182.9 cm
Question 10
Solve the equation x^2 + 4x + 4 = 0.
A. x = -2
B. x = -1
C. x = 1
D. x = 2
Question 11
Solve the system of equations \( x + y = 4 \) and \( xy = 5 \).
A. x = 2, y = 2
B. x = 3, y = 1
C. x = 1, y = 3
D. x = 2, y = 3
Question 12
Find the volume of the frustum of a cone with radii 6 cm and 3 cm and height 8 cm.
A. 120\pi cm^3
B. 150\pi cm^3
C. 180\pi cm^3
D. 200\pi cm^3
Question 13
If \( x^2 + 4x + 4 = 0 \), find the value of ( x ).
A. x = -2
B. x = 2
C. x = -1
D. x = 1
Question 14
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 15
Find the area of the triangle with vertices ( A(0, 0) ), ( B(3, 0) ), and ( C(0, 4) ).
A. 6
B. 8
C. 10
D. 12

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