POST UTME IGBINEDION UNIVERSITY 2025 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the value of ( x ) in the inequality \( 2x - 5 > 3 \).
A. 4
B. 5
C. 6
D. 7
Question 2
Find the derivative of the function f(x) = 3x^2 + 2x - 5 u\sing the chain rule.
A. 6x + 2
B. 6x - 2
C. 3x^2 + 2
D. 3x^2 - 2
Question 3
Solve the inequality \frac{x^2 - 4}{x^2 - 2x - 3} > 0.
A. x \in \( -\infty, -1 \) \cup \( 1, \infty \)
B. x \in \( -\infty, -3 \) \cup \( -1, 1 \) \cup \( 3, \infty \)
C. x \in \( -\infty, -3 \) \cup \( -1, 1 \) \cup \( 3, \infty \)
D. x \in \( -\infty, -1 \) \cup \( 1, \infty \)
Question 4
Find the determinant of the matrix \begin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix}.
A. 0
B. 1
C. 2
D. 3
Question 5
Find the derivative of the function f(x) = 3x^2 + 2x - 5.
A. f'(x) = 6x + 2
B. f'(x) = 6x - 2
C. f'(x) = 3x + 2
D. f'(x) = 3x - 2
Question 6
Find the value of ( x ) in the equation \( \sin^2\( x \ \) + \cos^2(x) = 1 ).
A. 0
B. \frac{\pi}{4}
C. \frac{\pi}{2}
D. \frac{3\pi}{4}
Question 7
Solve the equation \( \sin x = \cos x \) for x.
A. x = \frac{\pi}{4}
B. x = \frac{\pi}{2}
C. x = \\frac{3\\pi}{4}
D. x = \frac{\pi}{6}
Question 8
A histogram has a mean of ( 20 ) and a s\tandard deviation of ( 5 ). Find the area under the curve from \( x = 15 \) to \( x = 25 \).
A. ( 0.5 )
B. ( 0.6 )
C. ( 0.7 )
D. ( 0.8 )
Question 9
Solve the system of equations \( x + y = 2 \) and \( x - y = 1 \).
A. x = 1, y = 1
B. x = 1, y = -1
C. x = -1, y = 1
D. x = -1, y = -1
Question 10
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 = 16
C. \( x + 2 \)^2 + \( y + 3 \)^2 = 16
D. \( x - 2 \)^2 + \( y - 3 \)^2 = 16
Question 11
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 1 \) to \( x = 4 \).
A. ( 20 )
B. ( 30 )
C. ( 40 )
D. ( 50 )
Question 12
Let ( X ) and ( Y ) be indep\endent random variables with probability density functions \( f_X\( x \ \) = egin{cases} 2x, & 0 leq x leq 1 \ 0, & \text{otherwise} \end{cases} ) and \( f_Y\( y \ \) = egin{cases} 3y^2, & 0 leq y leq 1 \ 0, & \text{otherwise} \end{cases} ). Find the probability that \( X + Y leq 1 \).
A. \frac{1}{2}
B. \frac{1}{3}
C. \frac{2}{3}
D. \frac{3}{4}
Question 13
Solve the system of equations u\sing matrices:
A. \begin{bmatrix} 1 & -2 \ 3 & 4 \end{bmatrix}
B. \begin{bmatrix} 2 & -1 \ 3 & 4 \end{bmatrix}
C. \begin{bmatrix} 1 & 2 \ 3 & -4 \end{bmatrix}
D. \begin{bmatrix} 2 & 1 \ 3 & -4 \end{bmatrix}
Question 14
Find the equation of the circle pas\sing through the points (2, 3), (4, 5), and \( -1, 2 \).
A. \left\( x - 1 \right \)^2 + \left\( y - 2 \right \)^2 = 13
B. \left\( x + 1 \right \)^2 + \left\( y - 2 \right \)^2 = 13
C. \left\( x - 1 \right \)^2 + \left\( y + 2 \right \)^2 = 13
D. \left\( x + 1 \right \)^2 + \left\( y + 2 \right \)^2 = 13
Question 15
Solve the inequality \( x^2 + 2x - 6 > 0 \).
A. \( -\\infty, -3 \) \\cup \( 2, \\infty \)
B. \( -\\infty, -2 \) \\cup \( 3, \\infty \)
C. \( -\\infty, -2 \) \\cup \( 1, \\infty \)
D. \( -\\infty, -3 \) \\cup \( 1, \\infty \)

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