POST UTME UNILAG 2022 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the area of the triangle with vertices (0, 0), (3, 0), and (0, 4).
A. 12
B. 15
C. 18
D. 20
Question 2
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 3
Solve the system of equations \( x + y = 4 \) and \( xy = 5 \).
A. \( x = 2, y = 2 \ \)
B. \( x = 1, y = 5 \ \)
C. \( x = 5, y = 1 \ \)
D. \( x = -1, y = -5 \ \)
Question 4
Solve the system of equations \( x + y = 2 \) and \( xy = 3 \).
A. \left\( 1, 1 \right \)
B. \left\( -1, -1 \right \)
C. \left\( 1, -1 \right \)
D. \left\( -1, 1 \right \)
Question 5
Solve for ( x ) in the equation \( 2^x + 3^x = 5^x \).
A. 1
B. 2
C. 3
D. 4
Question 6
Solve the inequality \( \frac{x-2}{x+1} > 0 \) for \( x in \( -infty, -1 \ \) cup \( -1, 2 \) cup (2, infty) ).
A. \( -infty, -1 \) cup (2, infty)
B. \( -infty, -1 \) cup \( -1, 2 \)
C. \( -infty, -1 \) cup (2, infty)
D. \( -infty, -1 \) cup \( -1, 2 \)
Question 7
Find the equation of the plane pas\sing through the points (1, 2, 3), (4, 5, 6), and (7, 8, 9).
A. x - y + z = 0
B. x + y - z = 0
C. x - y + z = 0
D. x + y + z = 0
Question 8
Find the equation of the circle with center (2, 3) and radius 4.
A. \( x - 2 \)^2 + \( y - 3 \)^2 = 16
B. \( x - 2 \)^2 + \( y - 3 \)^2 = 25
C. \( x - 2 \)^2 + \( y - 3 \)^2 = 36
D. \( x - 2 \)^2 + \( y - 3 \)^2 = 49
Question 9
Solve the quadratic equation \( x^2 + 4x + 4 = 0 \).
A. \( -2, 0 \)
B. \( 0, -2 \)
C. \( -1, 1 \)
D. \( 1, -1 \)
Question 10
Find the area under the curve \( y = \frac{1}{2}x^2 \) from \( x = 0 \) to \( x = 4 \).
A. 16
B. 32
C. 64
D. 128
Question 11
Solve the quadratic equation \( x^2 + 4x + 4 = 0 \).
A. \( x = -2 \ \)
B. \( x = 2 \ \)
C. \( x = -1 \ \)
D. \( x = 1 \ \)
Question 12
Solve the inequality \frac{x - 2}{x + 1} < 0.
A. x < -1 \text{ or } x > 2
B. x > -1 \text{ and } x < 2
C. x < -1 \text{ and } x > 2
D. x > -1 \text{ or } x < 2
Question 13
Find the equation of the line pas\sing through the points (2, 3) and (4, 5).
A. y = \frac{1}{2}x + 1
B. y = 2x - 1
C. y = -\frac{1}{2}x + 2
D. y = x + 2
Question 14
A histogram represents the distribution of exam scores. If the mean score is 60 and the s\tandard deviation is 10, what is the probability that a randomly selected score is between 50 and 70?
A. 0.25
B. 0.5
C. 0.75
D. 1
Question 15
Find the area of the triangle with vertices (0, 0), (3, 0), and (0, 2).
A. 6
B. 8
C. 10
D. 12

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