POST UTME UNIOSUN 2019 Mathematics | Objective

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Question 1 View Details
Find the value of x in the equation \(\frac{x}{2} + \frac{3}{4} = \frac{7}{8}\)
Correct A. 1
B. 2
C. 3
D. 4

Correct Answer: A

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Question 2 View Details
Solve the inequality \(2x^2 + 5x - 3 > 0\)
Correct A. x < -1 or \(x > 3\)
B. \(x < 1\) or \(x > 3\)
C. x < -3 or \(x > 1\)
D. \(x < 3\) or \(x > 1\)

Correct Answer: A

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Question 3 View Details
Find the derivative of the function ( f(x) = \(3x^2 - 2x + 1\) )
Correct A. 6x - 2
B. 6x + 2
C. \(3x^2 - 2\)
D. \(3x^2 + 2\)

Correct Answer: A

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Question 4 View Details
Solve the system of equations \(x + y = 4\) and \(2x - 3y = 5\)
Correct A. \(x = 1\), \(y = 3\)
B. \(x = 2\), \(y = 2\)
C. \(x = 3\), \(y = 1\)
D. \(x = 4\), \(y = 0\)

Correct Answer: A

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Question 5 View Details
Find the area of the triangle with vertices ( (0, 0) ), ( (3, 0) ), and ( (0, 4) )
Correct A. 6
B. 8
C. 10
D. 12

Correct Answer: A

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Question 6 View Details
Determine the value of (x\) in the equation \(2^x + 5^x = 7^x\\((x) in the equation\).
A. 1
Correct B. 2
C. 3
D. 4

Correct Answer: B

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Question 7 View Details
Find the volume of the solid formed by revolving the region bounded by \(y = x^2\) and \(y = 4 - x\) about the \(x\)-axis.
A. 16\pi
B. 32\pi
Correct C. 48\pi
D. 64\pi

Correct Answer: C

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Question 8 View Details
Solve the inequality \(\frac{x-2}{x+1} > 0\).
Correct A. \(-\infty, -1\) \cup \(2, \infty\)
B. \(-\infty, -1\) \cup \(1, \infty\)
C. \(-\infty, 1\) \cup \(2, \infty\)
D. \(-\infty, 1\) \cup \(2, \infty\)

Correct Answer: A

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Question 9 View Details
A particle moves along the curve \(y = x^2\) from \(x = 0\) to \(x = 2\). Find the distance traveled by the particle.
A. 6
B. 8
Correct C. 10
D. 12

Correct Answer: C

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Question 10 View Details
Find the area of the region bounded by \(y = x^2\), \(y = 4 - x\)\), and the \(x\)-axis.
A. 8
B. 10
Correct C. 12
D. 14

Correct Answer: C

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Question 11 View Details
Determine the value of \(\mathbf{a} \cdot \mathbf{b} \times \mathbf{c}\) ) given that \(\mathbf{a} = egin{pmatrix} 2 \\() ) given that (\ 3 \ -1 \end{pmatrix}\), mathbf{b} = egin{pmatrix} 4 \ 1 \ 2 \end{pmatrix}\), and \(\mathbf{c} = egin{pmatrix} 1 \ 2 \ 3 \end{pmatrix}\).
Correct A. -14
B. 14
C. -2
D. 2

Correct Answer: A

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Question 12 View Details
Find the determinant of the matrix \(egin{pmatrix} 2 & 1 & 3 \ 4 & 2 & 1 \ 1 & 3 & 2 \end{pmatrix}\).
A. -1
Correct B. 1
C. -2
D. 2

Correct Answer: B

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Question 13 View Details
A fair six-sided die is rolled twice. What is the probability that the sum of the two rolls is 7?
A. \(1/6\)
Correct B. \(1/12\)
C. \(1/36\)
D. \(1/24\)

Correct Answer: B

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Question 14 View Details
Solve for ( x ) in the equation \(2^x + 3^x = 5^x\).
A. 1
Correct B. 2
C. 3
D. 4

Correct Answer: B

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Question 15 View Details
Find the sum of the infinite geometric series \(\frac{1}{2} + \frac{1}{4} + \frac{1}{8} + cdots\).
Correct A. 1
B. 2
C. 3
D. 4

Correct Answer: A

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Question 16 View Details
Find the volume of the solid formed by revolving the region bounded by the curves \(y = x\^2\), \(y = 0\), and \(x = 2\) about the x-axis.
A. 32\pi
B. 64\pi
Correct C. 128\pi
D. 256\pi

Correct Answer: C

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Question 17 View Details
If f(x) = \(3x^2 + 2x - 5\), find the derivative of f(x) using the chain rule.
Correct A. 6x + 2
B. 6x - 2
C. \(3x^2 + 2\)
D. \(3x^2 - 2\)

Correct Answer: A

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Question 18 View Details
A circle has a radius of 4 cm. Find the area of the circle.
Correct A. 16\pi
B. 32\pi
C. 64\pi
D. 128\pi

Correct Answer: A

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Question 19 View Details
Find the mean of the following data set: 2, 4, 6, 8, 10.
A. 6
B. 8
Correct C. 10
D. 12

Correct Answer: C

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Question 20 View Details
Solve the system of equations: \(x + y = 4\) and \(x - y = 2\).
Correct A. \(x = 3\), \(y = 1\)
B. \(x = 1\), \(y = 3\)
C. \(x = 2\), \(y = 2\)
D. \(x = 4\), \(y = 0\)

Correct Answer: A

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