POST UTME UNIBEN 2017 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
A rec\tangular prism has a length of 5 cm, a width of 3 cm, and a height of 2 cm. Find its volume.
A. 30 cm^3
B. 50 cm^3
C. 60 cm^3
D. 70 cm^3
Question 3
A set of 10 numbers has a mean of 20 and a s\tandard deviation of 5. What is the probability that a randomly selected number from this set will be greater than 25?
A. 0.25
B. 0.5
C. 0.75
D. 0.9
Question 4
Solve the inequality \( 2x^2 + 5x - 3 > 0 \) u\sing the quadratic formula.
A. x < -1 or x > \frac{3}{2}
B. x < -1 or x < \frac{3}{2}
C. x > -1 or x > \frac{3}{2}
D. x < -1 or x < \frac{3}{2}
Question 5
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( x < -1 \) or \( x > 3 \)
B. \( x < -3 \) or \( x > 1 \)
C. \( x < -2 \) or \( x > 2 \)
D. \( x < -4 \) or \( x > 4 \)
Question 6
Find the area under the curve \( y = x^2 \) from \( x = 0 \) to \( x = 4 \).
A. 32
B. 64
C. 128
D. 256
Question 7
Solve the equation \( \sin^2 x + \cos^2 x = 1 \).
A. \( x = \frac{pi}{2} \)
B. \( x = \frac{pi}{4} \)
C. \( x = \frac{3pi}{4} \)
D. \( x = \frac{5pi}{4} \)
Question 8
Solve the system of equations u\sing matrices:\n\( egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 5 \ 6 \end{bmatrix} \)
A. \( x = 1, y = 2 \)
B. \( x = 2, y = 1 \)
C. \( x = 3, y = 4 \)
D. \( x = 4, y = 3 \)
Question 9
A box contains 5 red balls and 3 blue balls. If a ball is drawn at random, what is the probability that it is blue?
A. 1/2
B. 1/3
C. 2/5
D. 3/8
Question 10
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\pi}{5}
B. \frac{16\pi}{3}
C. \frac{8\pi}{3}
D. \frac{4\pi}{3}
Question 11
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 12
Find the derivative of the function ( f(x) = \frac{1}{x^2 + 1} ) u\sing the chain rule.
A. f'(x) = \frac{-2x}{\( x^2 + 1 \)^2}
B. f'(x) = \frac{2x}{\( x^2 + 1 \)^2}
C. f'(x) = \frac{1}{\( x^2 + 1 \)^2}
D. f'(x) = \frac{-1}{\( x^2 + 1 \)^2}
Question 13
Find the sum of the first 10 terms of the geometric series \( 2 + 6 + 18 + ldots \).
A. \( 2 + 6 + 18 + ldots + 972 \)
B. \( 2 + 6 + 18 + ldots + 1024 \)
C. \( 2 + 6 + 18 + ldots + 1026 \)
D. \( 2 + 6 + 18 + ldots + 1028 \)
Question 14
A rec\tangular prism has a length of 6 cm, a width of 4 cm, and a height of 3 cm. What is the volume of the prism?
A. 72
B. 48
C. 60
D. 80
Question 15
A box contains 5 red balls and 3 blue balls. If a ball is drawn at random, what is the probability that it is blue?
A. \frac{1}{4}
B. \frac{1}{3}
C. \frac{2}{5}
D. \frac{3}{5}

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