POST UTME BSU 2018 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \left\( -\infty, -1 \right \) \cup \left\( 3, \infty \right \)
B. \left\( -\infty, -3 \right \) \cup \left\( 1, \infty \right \)
C. \left\( -\infty, -1 \right \) \cup \left\( -3, \infty \right \)
D. \left\( -\infty, 1 \right \) \cup \left\( 3, \infty \right \)
Question 2
If ( f(x) = \frac{1}{x} ), find ( f'(x) ) u\sing the chain rule.
A. \frac{-1}{x^2}
B. \frac{1}{x^2}
C. \frac{-1}{x}
D. \frac{1}{x}
Question 3
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).
A. \( \frac{1}{2} \times 4^3 + 3 \times 4^2 - 2 \times 4 \)
B. \( \frac{1}{2} \times 4^2 + 3 \times 4 - 2 \)
C. \( \frac{1}{2} \times 4^3 + 3 \times 4^2 - 2 \times 4^2 \)
D. \( \frac{1}{2} \times 4^2 + 3 \times 4^3 - 2 \times 4 \)
Question 4
A random experiment has two indep\endent events A and B. The probability of event A occurring is 0.4, and the probability of event B occurring is 0.6. What is the probability that both events A and B occur?
A. 0.24
B. 0.36
C. 0.48
D. 0.60
Question 5
Find the determinant of the matrix \( egin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix} \).
A. 1
B. -1
C. 2
D. 3
Question 6
In a certain probability experiment, two events ( A ) and ( B ) are indep\endent. If ( P(A) = 0.4 ) and ( P(B) = 0.6 ), find the probability that both events occur.
A. 0.24
B. 0.36
C. 0.48
D. 0.60
Question 7
Find the value of \( \log_{10} \( 1000 \ \) ).
A. ( 3 )
B. ( 4 )
C. ( 5 )
D. ( 6 )
Question 8
Find the sum of the first 10 terms of the geometric series \( 2 + 6 + 18 + \cdots \).
A. 59048
B. 59049
C. 59050
D. 59051
Question 9
Let A be a 3x3 matrix with determinant 6. If A is transformed into B by multiplying each element by 2, what is the determinant of B?
A. 12
B. 24
C. 48
D. 96
Question 10
Solve the trigonometric equation \( \sin^2 x + \cos^2 x = 1 \) for ( x ) in the interval ( [0, 2pi] ).
A. 0
B. π/2
C. π
D. 3π/2
Question 11
In a random sample of 100 students, the mean height is 175 cm with a s\tandard deviation of 5 cm. If the mean height of the population is 180 cm, what is the probability that the sample mean is less than 170 cm?
A. 0.01
B. 0.05
C. 0.10
D. 0.20
Question 12
Find the area under the curve \( y = \frac{1}{2}x^2 \) from \( x = 0 \) to \( x = 4 \).
A. \( \frac{16}{3} \)
B. \( \frac{32}{3} \)
C. \( \frac{64}{3} \)
D. \( \frac{128}{3} \)
Question 13
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. \( \frac{32}{3} pi \)
B. \( \frac{16}{3} pi \)
C. \( \frac{64}{3} pi \)
D. \( \frac{128}{3} pi \)
Question 14
Find the equation of the circle with center ( (3, 4) ) and radius ( 5 ).
A. \( x - 3 \ \)^2 + \( y - 4 \)^2 = 25 )
B. \( x - 4 \ \)^2 + \( y - 3 \)^2 = 25 )
C. \( x - 3 \ \)^2 + \( y - 4 \)^2 = 9 )
D. \( x - 4 \ \)^2 + \( y - 3 \)^2 = 9 )
Question 15
Find the value of ( x ) in the equation \( x^3 - 6x^2 + 11x - 6 = 0 \).
A. ( 1 )
B. ( 2 )
C. ( 3 )
D. ( 4 )

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Help others prepare! Share this practice hub: