POST UTME ELIZADE UNIVERSITY 2024 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the value of ( x ) in the equation \( x^2 + 4x + 4 = 0 \).
A. 1
B. 2
C. 3
D. 4
Question 2
Solve the equation \( x^2 + 2x - 6 = 0 \).
A. \( x = -3 \) or \( x = 2 \)
B. \( x = -2 \) or \( x = 3 \)
C. \( x = -1 \) or \( x = 6 \)
D. \( x = 1 \) or \( x = -6 \)
Question 3
Find the area of the triangle with vertices ( A(0, 0) ), ( B(4, 0) ), and ( C(0, 3) ).
A. 6
B. 8
C. 10
D. 12
Question 4
Find the sum of the infinite geometric series \( 1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + cdots \).
A. 2
B. 4
C. 8
D. 16
Question 5
Solve the system of equations \( egin{cases} x + y = 4 \ 2x - y = 3 \end{cases} \).
A. {(1, 3), (2, 2)}
B. {(1, 3), (3, 1)}
C. {(2, 2), (3, 1)}
D. {(1, 3), (2, 2)}
Question 6
Find the equation of the circle with center ( (2, 3) ) and radius ( 4 ).
A. \left\( x - 2 \right \)^2 + \left\( y - 3 \right \)^2 = 16
B. \left\( x - 3 \right \)^2 + \left\( y - 2 \right \)^2 = 16
C. \left\( x - 4 \right \)^2 + \left\( y - 5 \right \)^2 = 16
D. \left\( x - 5 \right \)^2 + \left\( y - 4 \right \)^2 = 16
Question 7
Solve for x in the inequality \frac{1}{2}x^2 + 3x - 5 > 0.
A. \boxed{x < -2 \text{ or } x > 5/2}
B. x < -5/2 \text{ or } x > 2
C. x < 2 \text{ or } x > -5/2
D. x < -5/2 \text{ or } x < 2
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
Find the value of ( x ) in the equation \( 2x^2 + 5x - 3 = 0 \).
A. 1
B. 2
C. 3
D. 4
Question 10
Find the volume of the solid formed by rotating the region bounded by the curves y = 2x^2 and y = 4x about the x-axis.
A. 64\pi
B. 128\pi
C. 256\pi
D. 512\pi
Question 11
A histogram is shown below. What is the mean of the data set?
A. 10
B. 15
C. 20
D. 25
Question 12
Find the sum of the first 10 terms of the geometric series with first term 2 and common ratio 3.
A. \boxed{2\( 1 - 3^{10} \)/\( 1 - 3 \)}
B. 2\( 1 - 3^{10} \)/\( 3 - 1 \)
C. 2\( 3^{10} - 1 \)/\( 3 - 1 \)
D. 2\( 3^{10} - 1 \)/\( 1 - 3 \)
Question 13
Solve for ( x ) in the equation \( 2^x + 3^x = 5^x \).
A. 1
B. 2
C. 3
D. 4
Question 14
A binary operation ( odot ) on the set ( mathbb{R} ) is defined as \( x odot y = xy + 1 \). Find the value of ( x odot (x odot x) ).
A. x^3 + 2x^2 + x
B. x^3 + x^2 + 1
C. x^3 + 2x^2 + 2
D. x^3 + x^2 + 2
Question 15
Find the equation of the circle with center at \( -2, 3 \) and radius 4.
A. \boxed{\( x + 2 \)^2 + \( y - 3 \)^2 = 16}
B. \( x + 2 \)^2 + \( y - 3 \)^2 = 20
C. \( x + 2 \)^2 + \( y - 3 \)^2 = 12
D. \( x + 2 \)^2 + \( y - 3 \)^2 = 8

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