POST UTME LASU 2022 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A circle has a radius of 5 cm. Find the area of the circle u\sing the formula \( A = pi r^2 \).
A. 25\pi
B. 50\pi
C. 75\pi
D. 100\pi
Question 2
Solve the system of linear equations \( egin{cases} x + y = 4 \ 2x - 3y = -2 \end{cases} \).
A. (2, 2)
B. (1, 3)
C. (3, 1)
D. (4, 0)
Question 3
A company produces two products, A and B. The profit on product A is $\frac{1}{2}$x and the profit on product B is $\frac{1}{3}$x. If the total profit is $\frac{5}{6}$x, find the value of x.
A. 30
B. 60
C. 90
D. 120
Question 4
Find the sum of the first 5 terms of the geometric series with first term 2 and common ratio 3.
A. 330
B. 330.5
C. 331
D. 332
Question 5
Solve the inequality $\frac{x^2-4x-5}{x^2-4x+4} > 0$.
A. \( -\infty, -1 \) \cup \( 1, \infty \)
B. \( -\infty, -1 \) \cup (1, 2)
C. \( -\infty, 1 \) \cup \( 2, \infty \)
D. \( -\infty, 1 \) \cup \( 2, \infty \)
Question 6
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( -∞, -1 \) ∪ (3, ∞)
B. \( -∞, -3 \) ∪ (1, ∞)
C. \( -∞, 1 \) ∪ (3, ∞)
D. \( -∞, -3 \) ∪ (1, ∞)
Question 7
Find the mean of the numbers 2, 4, 6, 8, 10.
A. 6
B. 7
C. 8
D. 9
Question 8
Solve the inequality \frac{x}{x-1} > 0.
A. \left\( -\infty, 1 \right \) \cup \left\( 1, \infty \right \)
B. \left\( -\infty, 0 \right \) \cup \left\( 1, \infty \right \)
C. \left\( -\infty, 0 \right \) \cup \left\( 1, \infty \right \)
D. \left\( -\infty, 1 \right \) \cup \left\( 1, \infty \right \)
Question 9
Find the equation of the line pas\sing through the points (2, 3) and (4, 5).
A. y = x + 1
B. y = x - 1
C. y = -x + 1
D. y = x + 2
Question 10
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. 1/5
B. 1/8
C. 3/8
D. 5/8
Question 11
A histogram of exam scores has a mean of 75 and a s\tandard deviation of 10. If the scores are normally distributed, what is the probability that a randomly selected score is between 60 and 90?
A. 0.68
B. 0.73
C. 0.83
D. 0.93
Question 12
Find the equation of the line pas\sing through the points (2, 3) and (4, 5).
A. y = 2x + 1
B. y = 2x - 1
C. y = x + 1
D. y = x - 1
Question 13
Find the equation of the line pas\sing through the points \( (2, 3) \) and \( (4, 5) \).
A. \( y = \frac{1}{2}x + \frac{5}{2} \)
B. \( y = \frac{1}{2}x - \frac{5}{2} \)
C. \( y = 2x - 1 \)
D. \( y = 2x + 1 \)
Question 14
Find the value of x in the equation \( \frac{x}{2} + 5 = 11 \).
A. 8
B. 10
C. 12
D. 14
Question 15
Solve the equation [ x^2 + 4x + 4 = 0 ] u\sing the quadratic formula.
A. -2
B. -1
C. 1
D. 2

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