POST UTME IGBINEDION UNIVERSITY 2024 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the value of x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 2
Find the sum of the first 10 terms of the geometric series with first term 2 and common ratio 3/4.
A. 2.9375
B. 3.0625
C. 3.125
D. 3.1875
Question 3
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\( x-2\right \)^2 + \left\( y+3\right \)^2 = 16
C. \left\( x+2\right \)^2 + \left\( y+3\right \)^2 = 16
D. \left\( x-2\right \)^2 + \left\( y-3\right \)^2 = 16
Question 4
Solve the inequality \frac{x-2}{x+1}>0.
A. \( -1, 2 \)
B. \( -1, \infty \) \cup \( 2, \infty \)
C. \( -1, \infty \) \cup \( -\infty, 2 \)
D. \( -1, 2 \)
Question 5
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 6
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).
A. \( \frac{1}{2}\( 4^2 \ \) + 3(4) - 2 )
B. \( \frac{1}{2}\( 0^2 \ \) + 3(0) - 2 )
C. \( \frac{1}{2}\( 4^2 \ \) + 3(4) - 2 + \frac{1}{2}\( 4^2 \) + 3(4) - 2 )
D. \( \frac{1}{2}\( 4^2 \ \) + 3(4) - 2 + \frac{1}{2}\( 0^2 \) + 3(0) - 2 )
Question 7
Find the sum of the first 10 terms of the geometric series with first term 2 and common ratio 3.
A. 59048
B. 59049
C. 59050
D. 59051
Question 8
Solve for ( x ) in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. \( x = 10^4 \)
B. \( x = 10^{-4} \)
C. \( x = 10^2 \)
D. \( x = 10^{-2} \)
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
Find the value of \( int_{0}^{1} \frac{1}{x^2 + 1} dx \).
A. \frac{\pi}{2}
B. \frac{\pi}{4}
C. \frac{\pi}{6}
D. \frac{\pi}{8}
Question 11
A histogram is constructed with 5 classes of equal width. The first class has a frequency of 10, the second class has a frequency of 15, and the third class has a frequency of 20. What is the mean of the histogram?
A. 15
B. 20
C. 25
D. 30
Question 12
Find the area of the triangle with vertices (0, 0), (3, 0), and (0, 4).
A. 6
B. 12
C. 18
D. 24
Question 13
Find the value of x in the equation \( \sqrt{x + 2} = 3 \).
A. 7
B. 8
C. 9
D. 10
Question 14
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( -∞, -1 \) ∪ (3, ∞)
B. \( -∞, -3 \) ∪ (1, ∞)
C. \( -∞, 1 \) ∪ (3, ∞)
D. \( -∞, -3 \) ∪ (1, ∞)
Question 15
Find the equation of the circle with center (2, 3) and radius 4.
A. \( x - 2 \)^2 + \( y - 3 \)^2 = 16
B. \( x - 3 \)^2 + \( y - 2 \)^2 = 16
C. \( x + 2 \)^2 + \( y + 3 \)^2 = 16
D. \( x - 2 \)^2 + \( y + 3 \)^2 = 16

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