POST UTME SKYLINE UNIVERSITY 2024 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve the inequality x^2 - 4x - 5 > 0.
A. \( -\infty, -1 \) \cup \( 5, \infty \)
B. \( -\infty, -5 \) \cup \( 0, \infty \)
C. \( -\infty, 1 \) \cup \( 5, \infty \)
D. \( -\infty, -1 \) \cup \( 0, \infty \)
Question 2
A circle has a diameter of 10 cm. Find the area of the circle.
A. 78.5
B. 31.4
C. 314
D. 785
Question 3
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( x < -\frac{5}{4} \) or \( x > \frac{3}{2} \)
B. \( x < -\frac{3}{2} \) or \( x > -\frac{5}{4} \)
C. \( x < -\frac{5}{4} \) or \( x < \frac{3}{2} \)
D. \( x > -\frac{5}{4} \) or \( x < \frac{3}{2} \)
Question 4
Find the area under the curve \( y = \frac{1}{x^2 + 1} \) from \( x = 0 \) to \( x = 1 \).
A. \( \frac{pi}{4} \)
B. \( \frac{pi}{2} \)
C. \( \frac{pi}{3} \)
D. \( \frac{pi}{6} \)
Question 5
Solve the inequality [ 2x - 5 > 3x + 2 \].
A. x < -1
B. x > -1
C. x < 1
D. x > 1
Question 6
Solve the inequality \( 2x^2 - 5x - 3 > 0 \).
A. \( x < -1 \ \) or \( x > \frac{3}{2} \ \)
B. \( x < -1 \ \) or \( x < \frac{3}{2} \ \)
C. \( x > -1 \ \) or \( x < \frac{3}{2} \ \)
D. \( x > -1 \ \) or \( x > \frac{3}{2} \ \)
Question 7
A car travels from city A to city B at an average speed of 60 km/h and returns at an average speed of 40 km/h. Find the average speed for the round trip.
A. 48
B. 52
C. 56
D. 60
Question 8
A cylindrical \tank has a height of 10m and a radius of 4m. If the \tank is filled with water to a height of 6m, calculate the volume of water in the \tank.
A. 1200\pi
B. 1500\pi
C. 1800\pi
D. 2000\pi
Question 9
The mean of a set of numbers is 20. If one of the numbers is 5, what is the sum of the remaining numbers?
A. 15
B. 30
C. 45
D. 60
Question 10
Solve the equation [ 2x^2 + 5x - 3 = 0 ] u\sing the quadratic formula.
A. x = -1 or x = 3
B. x = -3 or x = 1
C. x = 1 or x = -3
D. x = 3 or x = -1
Question 11
Find the determinant of the matrix \( egin{bmatrix} 2 & 1 & 3 \ 4 & 2 & 1 \ 3 & 1 & 2 \end{bmatrix} \).
A. ( 2 )
B. \( -2 \)
C. ( 0 )
D. ( 1 )
Question 12
A car travels from city A to city B at an average speed of 60km/h and returns at an average speed of 40km/h. If the dis\tance between the two cities is 240km, calculate the average speed for the entire trip.
A. 48
B. 50
C. 52
D. 54
Question 13
A bakery sells a total of 250 loaves of bread per day. They sell a combination of whole wheat and white bread. If the ratio of whole wheat to white bread is 5:3, how many loaves of whole wheat bread are sold per day?
A. 125
B. 150
C. 175
D. 200
Question 14
Find the volume of the solid formed by revolving the region bounded by the parabola \( y = x^2 \) and the line \( y = 4 \) about the x-axis.
A. \( \frac{32}{3} \pi \ \)
B. \( \frac{64}{3} \pi \ \)
C. \( \frac{16}{3} \pi \ \)
D. \( \frac{128}{3} \pi \ \)
Question 15
In a binary system, what is the value of the number represented by the sequence 1101011?
A. 63
B. 127
C. 191
D. 255

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