POST UTME ELIZADE UNIVERSITY 2017 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Two events A and B are indep\endent. If P(A) = 0.4 and P(B) = 0.6, find P(A ∩ B).
A. 0.2
B. 0.3
C. 0.4
D. 0.5
Question 2
A random variable X has a probability distribution given by
A. 1
B. 2
C. 3
D. 4
Question 3
Solve the equation \( x^2 + 4x + 4 = 0 \).
A. -2
B. -1
C. 0
D. 1
Question 4
Find the equation of the line pas\sing through the points (2, 3) and (4, 5).
A. y = 1x + 1
B. y = 2x + 1
C. y = 3x + 1
D. y = 4x + 1
Question 5
The probability of indep\endent events A and B occurring is given by
A. P(A) + P(B)
B. P(A) \cdot P(B)
C. P(A) - P(B)
D. P(A) / P(B)
Question 6
Find the volume of the solid formed by revolving the region bounded by the curve y = x^2, the x-axis, and the line x = 2 about the x-axis.
A. 32\pi
B. 64\pi
C. 128\pi
D. 256\pi
Question 7
Solve the inequality \[ 2x - 5 > 3 \].
A. x > 4
B. x < 4
C. x > 3
D. x < 3
Question 8
Solve the inequality $\frac{x^2 - 4}{x^2 - 9} > 0$.
A. \( -\infty, -3 \) \cup \( 3, \infty \)
B. \( -3, 3 \)
C. \( -\infty, -3 \) \cup (0, 3)
D. \( -\infty, 0 \) \cup \( 3, \infty \)
Question 9
Solve the quadratic equation: \( x^2 + 5x + 6 = 0 \).
A. -2
B. -3
C. -1
D. 1
Question 10
Find the value of $\int_{0}^{\frac{\pi}{2}} \frac{\sin^2 x}{\cos^2 x + 2} dx$.
A. \frac{\pi}{4}
B. \frac{\pi}{2}
C. \frac{\pi}{3}
D. \frac{\pi}{6}
Question 11
Find the area under the curve $y = \frac{1}{x^2 + 1}$ from $x = 0$ to $x = 1$.
A. \frac{\pi}{4}
B. \frac{\pi}{2}
C. \frac{\pi}{3}
D. \frac{\pi}{6}
Question 12
A circle has a radius of 5 units and passes through the points ( (0, 0) ) and ( (3, 4) ). Find the equation of the circle.
A. \( x - 1 \ \)^2 + \( y - 4 \)^2 = 25 )
B. \( x + 1 \ \)^2 + \( y - 4 \)^2 = 25 )
C. \( x - 1 \ \)^2 + \( y + 4 \)^2 = 25 )
D. \( x + 1 \ \)^2 + \( y + 4 \)^2 = 25 )
Question 13
Find the determinant of the matrix \( egin{pmatrix} 2 & 3 & 4 \ 5 & 6 & 7 \ 8 & 9 & 10 \end{pmatrix} \).
A. 0
B. 1
C. 2
D. 3
Question 14
Solve the inequality: \frac{x + 1}{x - 2} > 0.
A. \( -\infty, -1 \) \cup \( 2, \infty \)
B. \( -\infty, 2 \) \cup \( 2, \infty \)
C. \( -\infty, -1 \) \cup \( 2, \infty \)
D. \( -\infty, 2 \) \cup \( 2, \infty \)
Question 15
Solve the system of equations \( egin{cases} x + y = 4 \ 2x - y = 2 \end{cases} \).
A. \( x = 2, y = 2 \)
B. \( x = 3, y = 1 \)
C. \( x = 1, y = 3 \)
D. \( x = 4, y = 0 \)

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