POST UTME VERITAS UNIVERSITY 2020 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the sum of the first 10 terms of the geometric series with first term 2 and common ratio 3.
A. 3,261
B. 3,261.5
C. 3,262
D. 3,262.5
Question 2
Solve the system of linear equations u\sing matrices: \begin{align*} x + 2y - z &= 3 \ 2x - 3y + 4z &= 2 \ -x + y + 2z &= -1 \end{align*}
A. \begin{pmatrix} 1 \ -2 \ 3 \end{pmatrix}
B. \begin{pmatrix} 2 \ -1 \ 4 \end{pmatrix}
C. \begin{pmatrix} 3 \ 2 \ -1 \end{pmatrix}
D. \begin{pmatrix} 4 \ 3 \ 2 \end{pmatrix}
Question 3
Solve for x in 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 4
A circle has a radius of 4 cm. Find the area of the circle.
A. 50.24 cm²
B. 50.27 cm²
C. 50.31 cm²
D. 50.35 cm²
Question 5
A probability experiment consists of rolling a fair six-sided die. Find the probability that the number rolled is greater than 4.
A. \frac{1}{6}
B. \frac{1}{3}
C. \frac{2}{3}
D. \frac{5}{6}
Question 6
Determine the value of ( x ) in the equation: \( \log_{10} \( x^2 \ \) = 4 ).
A. \( x = 10^2 \)
B. \( x = 10^4 \)
C. \( x = 10^{-2} \)
D. \( x = 10^{-4} \)
Question 7
Solve the quadratic equation x^2 + 4x + 4 = 0.
A. \\begin{pmatrix} -2 \\ 2 \\end{pmatrix}
B. \\begin{pmatrix} -1 \\ 1 \\end{pmatrix}
C. \\begin{pmatrix} 1 \\ -1 \\end{pmatrix}
D. \\begin{pmatrix} 2 \\ -2 \\end{pmatrix}
Question 8
Find the area of the triangle with vertices (0, 0), (3, 0), and (0, 4).
A. 6
B. 12
C. 18
D. 24
Question 9
Find the equation of the \tangent line to the curve \( y = \frac{1}{x} \) at the point where \( x = 2 \).
A. \( y = -\frac{1}{2}x + 1 \)
B. \( y = \frac{1}{2}x - 1 \)
C. \( y = -\frac{1}{2}x - 1 \)
D. \( y = \frac{1}{2}x + 1 \)
Question 10
Solve the inequality: \( 2x^2 + 5x - 3 > 0 \).
A. \( x < -1 \) or \( x > \frac{3}{2} \)
B. \( x < -\frac{1}{2} \) or \( x > 3 \)
C. \( x < -3 \) or \( x > \frac{1}{2} \)
D. \( x < -\frac{3}{2} \) or \( x > 1 \)
Question 11
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 12
Find the equation of the circle with center ( (2, 3) ) and radius 4.
A. \( x - 2 \ \)^2 + \( y - 3 \)^2 = 16 )
B. \( x - 3 \ \)^2 + \( y - 2 \)^2 = 16 )
C. \( x - 2 \ \)^2 + \( y - 3 \)^2 = 9 )
D. \( x - 3 \ \)^2 + \( y - 2 \)^2 = 9 )
Question 13
A histogram of exam scores has a mean of 60 and a s\tandard deviation of 10. If the scores are normally distributed, what is the probability that a randomly selected score is between 50 and 70?
A. 0.135
B. 0.341
C. 0.674
D. 0.841
Question 14
Find the derivative of ( f(x) = \frac{1}{\sqrt{x}} ) u\sing the chain rule.
A. \frac{-1}{2x^{3/2}}
B. \frac{1}{2x^{3/2}}
C. \frac{1}{x^{3/2}}
D. \frac{-1}{x^{3/2}}
Question 15
Find the area under the curve of the function ( f(x) = 2x^2 + 3x - 1 ) from x = 0 to x = 2.
A. 10
B. 12
C. 14
D. 16

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