POST UTME PAN-ATLANTIC UNIVERSITY 2021 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Determine the value of x in the equation \( \frac{x}{2} + 5 = 11 \).
A. 6
B. 8
C. 10
D. 12
Question 2
Let X and Y be indep\endent events with P(X) = 0.4 and P(Y) = 0.6. Find P(X ∩ Y).
A. 0.24
B. 0.36
C. 0.48
D. 0.60
Question 3
A set of 5 numbers has a mean of 10. If 2 is added to each number, what is the new mean?
A. 8
B. 10
C. 12
D. 14
Question 4
Find the volume of the frustum of a cone with height 6 cm, lower base radius 4 cm, and upper base radius 2 cm.
A. 40\pi cm^3
B. 50\pi cm^3
C. 60\pi cm^3
D. 70\pi cm^3
Question 5
Solve the inequality \frac{x^2-4x-3}{x^2-6x+8} > 0.
A. \left\( -\infty, 3 \right \) \cup \left\( 4, \infty \right \)
B. \left\( -\infty, 1 \right \) \cup \left\( 3, \infty \right \)
C. \left\( -\infty, 2 \right \) \cup \left\( 4, \infty \right \)
D. \left\( -\infty, 1 \right \) \cup \left\( 2, \infty \right \)
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 of the car for the entire trip?
A. 48 km/h
B. 50 km/h
C. 52 km/h
D. 54 km/h
Question 7
If A = \begin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} and B = \begin{bmatrix} 5 & 6 \ 7 & 8 \end{bmatrix}, find the product AB.
A. \begin{bmatrix} 19 & 22 \ 43 & 50 \end{bmatrix}
B. \begin{bmatrix} 17 & 20 \ 39 & 46 \end{bmatrix}
C. \begin{bmatrix} 21 & 24 \ 45 & 52 \end{bmatrix}
D. \begin{bmatrix} 23 & 26 \ 51 & 58 \end{bmatrix}
Question 8
A sequence is defined by the formula \( a_n = 2n + 1 \). Find the sum of the first 5 terms of the sequence.
A. 15
B. 20
C. 25
D. 30
Question 9
Find the value of \( \sin \( 2\theta \ \) ) given that \( \sin \( \theta \ \) = \frac{3}{5} ) and \( \cos \( \theta \ \) = \frac{4}{5} ).
A. \( \frac{24}{25} \)
B. \( \frac{16}{25} \)
C. \( \frac{12}{25} \)
D. \( \frac{8}{25} \)
Question 10
Solve for x in the equation \( 2x^2 + 5x - 3 = 0 \).
A. -1.5
B. 1
C. 3
D. -2
Question 11
Find the value of x in the equation \( \frac{x}{2} + \frac{3}{4} = \frac{7}{8} \).
A. 1
B. 2
C. 3
D. 4
Question 12
Find the area under the curve y = 2x^2 + 3x - 1 from x = 0 to x = 2.
A. 13
B. 15
C. 17
D. 19
Question 13
A random experiment has two indep\endent events A and B. If P(A) = 0.4 and P(B) = 0.6, find the probability that both events occur.
A. 0.24
B. 0.36
C. 0.48
D. 0.64
Question 14
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 15
A rec\tangular box has a length of 6 cm, a width of 4 cm, and a height of 2 cm. What is the volume of the box in cubic centimeters?
A. 48
B. 64
C. 72
D. 96

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Help others prepare! Share this practice hub: