POST UTME NOUN 2019 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A survey of 1000 people showed that 60% preferred coffee, 20% preferred tea, and 20% preferred both. What percentage of people preferred coffee or tea?
A. 70%
B. 80%
C. 85%
D. 90%
Question 2
Find the value of x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 3
Find the derivative of the function \(f(x) = 3x^2\sin\( x)\ \).
A. 6x\sin(x) + 3x^2\cos(x)
B. 6x\sin(x) - 3x^2\cos(x)
C. 3x^2\sin(x) + 6x\cos(x)
D. 3x^2\sin(x) - 6x\cos(x)
Question 4
A histogram of exam scores has a mean of 70 and a s\tandard deviation of 10. If the scores are normally distributed, what is the probability that a randomly selected score is between 60 and 80?
A. 0.68
B. 0.68
C. 0.69
D. 0.7
Question 5
Solve the inequality $\frac{x - 2}{x + 1} > 0$.
A. $\( -\infty, -1 \) \cup \( 2, \infty \)$
B. $\( -\infty, -1 \) \cup \( -1, 2 \)$
C. $\( -\infty, 2 \) \cup \( 2, \infty \)$
D. $\( -\infty, -1 \) \cup \( 2, \infty \)$
Question 6
Find the volume of the solid formed by revolving the region bounded by the parabola y=x^2, the x-axis, and the line x=2 about the x-axis.
A. 16π/3
B. 32π/3
C. 64π/3
D. 128π/3
Question 7
Find the derivative of the function $f(x) = \frac{1}{x^2 + 1}$ u\sing the chain rule.
A. -\frac{2x}{\( x^2 + 1 \)^2}
B. \frac{2x}{\( x^2 + 1 \)^2}
C. \frac{-2x}{\( x^2 + 1 \)^2}
D. \frac{2}{\( x^2 + 1 \)^2}
Question 8
Solve the quadratic equation \( x^2 + 4x + 4 = 0 \).
A. \( x = -2 \)
B. \( x = 2 \)
C. \( x = -1 \)
D. \( x = 1 \)
Question 9
A rec\tangular prism has a length of 5 cm, a width of 3 cm, and a height of 2 cm. What is its volume?
A. 30
B. 31
C. 32
D. 33
Question 10
A vector [ mathbf{a} = egin{pmatrix} 1 \ 2 \ 3 \end{pmatrix} ] is rotated by 90° about the x-axis. What is the new vector?
A. \begin{pmatrix} 1 \ -3 \ -2 \end{pmatrix}
B. \begin{pmatrix} 1 \ 3 \ 2 \end{pmatrix}
C. \begin{pmatrix} 1 \ 2 \ 3 \end{pmatrix}
D. \begin{pmatrix} 1 \ -2 \ 3 \end{pmatrix}
Question 11
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. 0.5
B. 0.6
C. 0.7
D. 0.8
Question 12
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 13
Find the determinant of the matrix [ egin{pmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{pmatrix} ].
A. -120
B. 120
C. 0
D. -60
Question 14
A histogram of exam scores has a mean of 75 and a s\tandard deviation of 10. If the scores are normally distributed, what is the probability that a randomly selected score is between 60 and 90?
A. 0.5
B. 0.6
C. 0.7
D. 0.8
Question 15
Find the area under the curve \( y = x^2 \) from x = 0 to x = 2.
A. 4
B. 6
C. 8
D. 10

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