POST UTME BSU 2021 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
In a probability experiment, two events A and B are indep\endent. If P(A) = 0.4 and P(B) = 0.6, what is the probability that both events A and B occur?
A. 0.24
B. 0.48
C. 0.64
D. 0.76
Question 2
A sequence is defined by \( a_n = 2n + 1 \). Find the sum of the first 5 terms.
A. 15
B. 25
C. 35
D. 45
Question 3
Find the value of \( \sin \( 2x \ \) ) given that \( \sin x = \frac{3}{5} \) and \( \cos x = \frac{4}{5} \).
A. 1
B. 2
C. 3
D. 4
Question 4
Find the equation of the circle with center at (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 5
Solve for x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 6
A circle has a radius of 5 cm. Find the area of the circle.
A. 25π
B. 50π
C. 75π
D. 100π
Question 7
Solve for x in the equation: \( 2x^2 + 5x - 3 = 0 \)
A. -1.5
B. 1.5
C. 3
D. -3
Question 8
Solve for ( x ) in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 9
Solve the system of equations \( x + y = 4 \) and \( x - y = 2 \).
A. x = 3, y = 1
B. x = 1, y = 3
C. x = 2, y = 2
D. x = 4, y = 0
Question 10
Solve the matrix equation egin{bmatrix} 2 & 1 \ 1 & 2 \end{bmatrix} egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 3 \ 4 \end{bmatrix}.
A. x = 1, y = 2
B. x = 2, y = 1
C. x = 1, y = 1
D. x = 2, y = 2
Question 11
A binary operation \(*\) on the set \{0, 1\} is defined as follows: \(0 * 0 = 0, 0 * 1 = 1, 1 * 0 = 1, 1 * 1 = 1\). Find the result of \(1 * \( 0 * 1)\ \).
A. 0
B. 1
C. 0 * 1
D. 1 * 0
Question 12
Find the area under the curve y = x^2 + 2x - 3 from x = 0 to x = 2.
A. \frac{14}{3}
B. \frac{13}{3}
C. \frac{15}{3}
D. \frac{16}{3}
Question 13
Find the equation of the line pas\sing through the points (1, 2) and (3, 4).
A. y = 2x - 1
B. y = 2x + 1
C. y = -2x + 1
D. y = -2x - 1
Question 14
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( -\infty, -1 \) \cup \( 3, \infty \)
B. \( -\infty, -3 \) \cup \( 1, \infty \)
C. \( -\infty, 1 \) \cup \( 3, \infty \)
D. \( -\infty, -3 \) \cup \( 1, \infty \)
Question 15
Find the area under the curve \( y = \frac{1}{x^2 + 1} \) from \( x = 0 \) to \( x = 1 \).
A. 0.693
B. 0.785
C. 0.905
D. 1.047

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