POST UTME AL-HIKMAH UNIVERSITY 2024 Mathematics | Objective
Practice these randomly selected questions to test your readiness.
Question 1
Solve the quadratic equation \( x^2 + 4x + 4 = 0 \).
Question 2
Solve the quadratic equation [ x^2 + 5x + 6 = 0 ].
Question 3
Find the sum of the infinite geometric series \( \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + ldots \).
Question 4
In a binary operation * on the set of real numbers, the function f(x) = x * x is defined. If f(2) = 4 and f(4) = 16, find f(8) u\sing the given information.
Question 5
Solve the equation [ \sin^2 x + \cos^2 x = 1 ] for [ x ].
Question 6
Find the determinant of the matrix \( \begin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} \).
Question 7
Let X be a random variable with probability density function (pdf) given by f(x) = \( \frac{1}{2}x^2 \) for 0 ≤ x ≤ 2. Find the probability that X is greater than 1.
Question 8
Find the volume of the cylinder with radius 4 and height 6.
Question 9
Find the derivative of the function ( f(x) = 3x^2 + 2x - 5 ).
Question 10
Find the equation of the line pas\sing through the points ( (1, 2) ) and ( (3, 4) ).
Question 11
Find the mean of the data set: 2, 4, 6, 8, 10.
Question 12
A company produces two products, A and B. The profit from the sale of product A is $10 per unit, and the profit from the sale of 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?
Question 13
A rec\tangular prism has a length of 5 cm, a width of 3 cm, and a height of 2 cm. Find its volume.
Question 14
In the set \( A = { 1, 2, 3, 4, 5 } \), find the number of subsets that contain exactly two elements.
Question 15
Let S be the set of all real numbers x such that x^2 - 4x + 3 = 0. Find the set S.
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