POST UTME BOWEN UNIVERSITY 2020 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve for ( x ) in the equation \( 2x^2 + 5x - 3 = 0 \).
A. 1
B. -1
C. -2
D. 3
Question 2
A random experiment consists of rolling a fair six-sided die. If the outcome is an even number, the experimenter wins a prize. If the outcome is an odd number, the experimenter loses a prize. What is the probability that the experimenter wins the prize?
A. 1/2
B. 1/3
C. 2/3
D. 1/6
Question 3
Two events ( A ) and ( B ) are indep\endent. If ( P(A) = 0.4 ) and ( P(B) = 0.6 ), find \( P\( A \cap B \ \) ).
A. 0.2
B. 0.3
C. 0.4
D. 0.6
Question 4
Solve the inequality: [ 2x^2 + 3x - 1 > 0 ]
A. \( x < -1 \) or \( x > \frac{1}{2} \)
B. \( x < -1 \) or \( x < \frac{1}{2} \)
C. \( x > -1 \) or \( x < \frac{1}{2} \)
D. \( x > -1 \) or \( x > \frac{1}{2} \)
Question 5
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 4 \) from \( x = 0 \) to \( x = 5 \).
A. 75
B. 100
C. 125
D. 150
Question 6
Find the area of the region bounded by the parabola \( y = x^2 \), the line \( x = 2 \), and the x-axis.
A. \( \frac{8}{3} \)
B. \( \frac{16}{3} \)
C. \( \frac{32}{3} \)
D. \( \frac{64}{3} \)
Question 7
Find the determinant of the matrix \( \begin{bmatrix} 2 & 1 & 3 \ 4 & 2 & 1 \ 3 & 1 & 2 \end{bmatrix} \).
A. 0
B. 1
C. 2
D. 3
Question 8
In a geometric sequence, the first term is 2 and the common ratio is 3. Find the sum of the first five terms.
A. 2 + 6 + 18 + 54 + 162
B. 2 + 6 + 18 + 54 + 162 + 486
C. 2 + 6 + 18 + 54 + 162 + 486 + 1458
D. 2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374
Question 9
A polynomial function is defined as f(x) = x^3 - 6x^2 + 11x - 6. Find the value of f\( -1 \).
A. 0
B. 1
C. 2
D. 3
Question 10
Find the equation of the line pas\sing through the points ((2,3)) and ((4,5)).
A. \( y = 2x - 1 \)
B. \( y = 2x + 1 \)
C. \( y = -2x + 1 \)
D. \( y = -2x - 1 \)
Question 11
Find the volume of the solid formed by revolving the region bounded by the curve \( y = x^2 \) and the line \( x = 2 \) about the x-axis.
A. 32\pi
B. 64\pi
C. 128\pi
D. 256\pi
Question 12
Two events, A and B, are indep\endent. The probability of event A occurring is 0.4, and the probability of event B occurring is 0.6. Find the probability that both events A and B occur.
A. 0.2
B. 0.3
C. 0.4
D. 0.5
Question 13
A right circular cone has a height of 10 cm and a base radius of 5 cm. Find the volume of the cone.
A. 250\pi
B. 500\pi
C. 750\pi
D. 1000\pi
Question 14
A set of numbers is defined as {1, 2, 3, 4, 5}. Find the number of subsets of this set.
A. 10
B. 20
C. 30
D. 40
Question 15
Solve the equation \log_{10} x^2 = 4.
A. 10^4
B. 10^8
C. 10^{-4}
D. 10^{-8}

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