POST UTME UNN 2022 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve the quadratic equation \( x^2 + 4x + 4 = 0 \).
A. x = -2
B. x = -1
C. x = 0
D. x = 1
Question 2
Solve for x in the quadratic equation \( x^2 + 5x + 6 = 0 \).
A. \( x = -2 \ \)
B. \( x = -3 \ \)
C. \( x = 2 \ \)
D. \( x = 3 \ \)
Question 3
Solve the equation \( \frac{1}{2} \log_{10} \( x^2 \) = 4 \).
A. x = 10^8
B. x = 10^4
C. x = 10^2
D. x = 10^6
Question 4
Let ( f(x) = \frac{x^2 - 4}{x - 2} ). Find the derivative of ( f(x) ) u\sing the chain rule.
A. 2x + 4
B. x^2 + 4
C. x^2 - 4
D. x^2 + 2x - 4
Question 5
Solve the inequality $\frac{x-2}{x+1} > 0$.
A. \( -\infty, -1 \) \cup \( 2, \infty \)
B. \( -\infty, -1 \) \cup \( 1, \infty \)
C. \( -\infty, 1 \) \cup \( 2, \infty \)
D. \( -\infty, 1 \) \cup \( 2, \infty \)
Question 6
Find the determinant of the matrix [ egin{array}{ccc} 2 & 3 & 1 \ 4 & 2 & 3 \ 1 & 2 & 4 \end{array} ] u\sing the expansion by minors method.
A. -3
B. 6
C. -12
D. 24
Question 7
A bag contains 5 red balls and 3 blue balls. If a ball is drawn at random, what is the probability that it is blue?
A. \frac{1}{2}
B. \frac{2}{5}
C. \frac{3}{5}
D. \frac{4}{5}
Question 8
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 9
A fair six-sided die is rolled. What is the probability that the number rolled is greater than 4?
A. 1/3
B. 1/2
C. 2/3
D. 1
Question 10
Solve the inequality \( 2x^2 + 5x - 3 \geq 0 \).
A. x \leq -3 \text{ or } x \geq \frac{1}{2}
B. x \leq -3 \text{ or } x \leq \frac{1}{2}
C. x \geq -3 \text{ or } x \geq \frac{1}{2}
D. x \geq -3 \text{ or } x \leq \frac{1}{2}
Question 11
Solve the system of equations x^2 + y^2 = 4 and x + y = 2.
A. x = 1, y = 1
B. x = 2, y = 0
C. x = 0, y = 2
D. x = 1, y = 0
Question 12
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. Calculate the coefficient of variation (CV) of the sample.
A. 12.5%
B. 15%
C. 18%
D. 20%
Question 13
Solve for x in the linear equation \( 2x + 5 = 11 \ \).
A. 3
B. 4
C. 5
D. 6
Question 14
Solve the equation \( x^2 + 4x + 4 = 0 \) u\sing the quadratic formula.
A. 0
B. -2
C. -1
D. 1
Question 15
Find the value of ( x ) in the equation \( 2^x = 16 \).
A. 2
B. 3
C. 4
D. 5

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