POST UTME ELIZADE UNIVERSITY 2024 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A circle has a radius of 5 cm. What is the area of the circle?
A. 25\pi
B. 50\pi
C. 75\pi
D. 100\pi
Question 2
Solve the equation \(\log_2 \( x^2 + 1 \) - \log_2 \( x + 1 \) = 1\).
A. 1
B. 2
C. 3
D. 4
Question 3
Solve for ( x ) in the equation \( 2^x + 3^x = 5^x \).
A. 1
B. 2
C. 3
D. 4
Question 4
Find the value of ( k ) such that the quadratic equation \( x^2 + kx + 16 = 0 \) has equal roots.
A. 4
B. -4
C. 8
D. -8
Question 5
Find the value of ( x ) in the equation \( x^2 + 4x + 4 = 0 \).
A. 1
B. 2
C. 3
D. 4
Question 6
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 7
Solve the inequality \( \frac{x}{x-2} > 0 \) for ( x in mathbb{R} setminus {2} ).
A. \( -∞, 2 \) ∪ (2, ∞)
B. \( -∞, 0 \) ∪ (2, ∞)
C. \( -∞, 2 \) ∪ (2, ∞)
D. (0, 2) ∪ (2, ∞)
Question 8
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 9
Find the equation of the line pas\sing through the points ( (1, 2) ) and ( (3, 4) ).
A. \( y = x + 1 \)
B. \( y = x - 1 \)
C. \( y = x + 2 \)
D. \( y = x - 2 \)
Question 10
A bag contains 5 red marbles, 4 blue marbles, and 3 green marbles. If a marble is drawn at random, what is the probability that it is not blue?
A. 3/12
B. 5/12
C. 7/12
D. 9/12
Question 11
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 12
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 4 \) from \( x = 0 \) to \( x = 2 \).
A. 10
B. 12
C. 14
D. 16
Question 13
Find the area under the curve \( y = \frac{1}{x} \) from \( x = 1 \) to \( x = 2 \).
A. \( \log\( 2 \ \) - \log(1) )
B. \( \log\( 2 \ \) - \log(1) + 1 )
C. \( \log\( 2 \ \) - \log(1) - 1 )
D. \( \log\( 2 \ \) - \log(1) + 2 )
Question 14
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 15
Find the value of $\frac{d}{dx}\left\( \frac{1}{x^2+1}\right \)$.
A. \frac{-2x}{\( x^2+1 \)^2}
B. \frac{2x}{\( x^2+1 \)^2}
C. \frac{1}{\( x^2+1 \)^2}
D. \frac{-1}{\( x^2+1 \)^2}

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