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POST UTME AFE BABALOLA UNIVERSITY 2024 Mathematics | Objective

Prepare for your exams with POST UTME AFE BABALOLA UNIVERSITY questions? Reviewing past/model questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2024 Mathematics (Objective) questions designed to simulate the real exam environment.

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Question 1 View Details

A random variable X has a probability distribution given by P(X) = \(1/2\)^\(X-1\) for \(X = 1\), 2, 3, ... . Find the probability that X is greater than 2.

A. \(1/2\)

B. \(1/4\)

Correct C. \(1/8\)

D. \(3/4\)

Correct Answer: C

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Question 2 View Details

Find the volume of the solid formed by revolving the region bounded by the parabola (y = x\^2\), the x-axis, and the line \\((y = x^2\(x = 2\) about the x-axis.

A. 32\\(\pi/5\)

B. 64\\(\pi/5\)

Correct C. 128\\(\pi/5\)

D. 256\\(\pi/5\)

Correct Answer: C

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Question 3 View Details

Solve the inequality |x - 2|\(> 3.\)

Correct A. x < -1 or \(x > 5\)

B. \(x < 1\) or \(x > 5\)

C. \(x < 1\) or \(x > 3\)

D. \(x < 3\) or \(x > 5\)

Correct Answer: A

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Question 4 View Details

A right circular cone has a height of 12 cm and a base radius of 6 cm. Find the volume of the cone.

Correct A. 288\pi

B. 288\\(\pi/3\)

C. 288\\(\pi/2\)

D. 288\\(\pi/5\)

Correct Answer: A

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Question 5 View Details

Find the surface area of the solid formed by revolving the region bounded by the parabola (y = x\^2\), the x-axis, and the line \\((y = x^2\(x = 2\) about the x-axis.

A. 64\\(\pi/5\)

B. 128\\(\pi/5\)

Correct C. 256\\(\pi/5\)

D. 512\\(\pi/5\)

Correct Answer: C

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Question 6 View Details

Solve for x in the equation \(\sqrt[3]{x^2} = 4\).

Correct A. 64

B. 16

C. 256

D. 1024

Correct Answer: A

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Question 7 View Details

Find the value of \(\log_{10} x^2 \\) ) given that \(\log_{10} x \\)\(= 2 ).\)

A. 4

Correct B. 8

C. 16

D. 32

Correct Answer: B

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Question 8 View Details

Solve the quadratic equation \(x^2 + 4x + 4 = 0\).

Correct A. -2

B. -1

C. 0

D. 2

Correct Answer: A

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Question 9 View Details

Find the sum of the first 5 terms of the geometric progression ( 2, 6, 18, ... ).

A. 62

Correct B. 64

C. 66

D. 68

Correct Answer: B

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Question 10 View Details

Solve the system of linear equations \(egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 5 \ 6 \end{bmatrix}\).

Correct A. \begin{bmatrix} 1 \ 2 \end{bmatrix}

B. \begin{bmatrix} 2 \ 3 \end{bmatrix}

C. \begin{bmatrix} 3 \ 4 \end{bmatrix}

D. \begin{bmatrix} 4 \ 5 \end{bmatrix}

Correct Answer: A

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Question 11 View Details

In the diagram below, a circle with center O and radius 6cm is \tangent to the x-axis at point P. If the line OP is extended to meet the y-axis at point Q, what is the length of OQ?

Correct A. 12cm

B. 8cm

C. 10cm

D. 6cm

Correct Answer: A

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Question 12 View Details

A binary operation (*\) on the set \{0, 1\\((*) on the set \} is defined as follows: \begin{align*} 0*0&=0,\ \(0*1 = 1\),\ \(1*0 = 1\),\\((1*1 = 0\)\). \end{align*} Find the value of \\((1*1 = 0). \(1*0\)*\(1*0)\\).

A. 0

Correct B. 1

C. 2

D. 3

Correct Answer: B

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Question 13 View Details

In the diagram below, a line passes through points A(2, 3) and B(4, 5). If the line has a slope of 2, what is the equation of the line in slope-intercept form?

Correct A. \(y = 2x + 1\)

B. \(y = 2x - 1\)

C. \(y = 2x + 2\)

D. \(y = 2x - 2\)

Correct Answer: A

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Question 14 View Details

A random experiment consists of rolling a fair six-sided die. If the number rolled is even, the experimenter wins a prize. If the number rolled is odd, the experimenter loses a prize. What is the probability that the experimenter wins a prize?

Correct A. \(\frac{1}{2}\)\)

B. \(\frac{1}{3}\)\)

C. \(\frac{2}{3}\)\)

D. \(\frac{3}{4}\)\)

Correct Answer: A

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Question 15 View Details

Solve the equation \(x^2 + 5x + 6 = 0\).

Correct A. -2

B. -3

C. -1

D. 1

Correct Answer: A

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Question 16 View Details

Find the derivative of the function ( f(x) = \(\frac{x^2 + 2x - 3}{x^2 - 4}\)\)\) ) using the quotient rule.

Correct A. ( f'\((x) =\)\(\frac{x^2 - 4\) 2x + 2 - \(x^2 + 2x - 3\) (2x)}{ \(x^2 - 4\) ^2}\)\) )

B. ( f'\((x) =\)\(\frac{x^2 - 4\) 2x + 2 - \(x^2 + 2x - 3\) (2x)}{ \(x^2 - 4\) ^2}\)\) )

C. ( f'\((x) =\)\(\frac{x^2 - 4\) 2x + 2 - \(x^2 + 2x - 3\) (2x)}{ \(x^2 - 4\) ^2}\)\) )

D. ( f'\((x) =\)\(\frac{x^2 - 4\) 2x + 2 - \(x^2 + 2x - 3\) (2x)}{ \(x^2 - 4\) ^2}\)\) )

Correct Answer: A

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Question 17 View Details

Solve the inequality \(2x^2 + 5x - 3 > 0\) using the quadratic formula.

Correct A. \(x > -\frac{5}{4}\) or \(x < \frac{3}{2}\)

B. \(x > \frac{3}{2}\) or \(x < -\frac{5}{4}\)

C. \(x > -\frac{5}{4}\) and \(x < \frac{3}{2}\)

D. \(x < -\frac{5}{4}\) and \(x > \frac{3}{2}\)

Correct Answer: A

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Question 18 View Details

Find the value of (\(12x \\) ) given that \\((\)12x \(\(1x \\) = \(\frac{1}{2}\)\) ) and 1x \\) = \(\frac{\sqrt{3}}{2}\) ).

Correct A. \(\frac{\sqrt{3}}{2}\)

B. \(\frac{1}{2}\)

C. \(\frac{\sqrt{3}}{2}\)

D. \(\frac{1}{2}\)

Correct Answer: A

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Question 19 View Details

Solve the system of equations \(egin{cases} x + y = 2 \ 2x - y = 3 \end{cases}\) using matrices.

Correct A. \(x = 1, y = 1\)

B. \(x = 2, y = 0\)

C. \(x = 0, y = 2\)

D. \(x = 1, y = 2\)

Correct Answer: A

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Question 20 View Details

Find the derivative of the function ( f(x) = \(x^3 - 2x^2 + 3x - 1\) ) using the power rule.

Correct A. ( f'\((x) =\)\(3x^2 - 4x + 3\) )

B. ( f'\((x) =\)\(3x^2 - 4x + 3\) )

C. ( f'\((x) =\)\(3x^2 - 4x + 3\) )

D. ( f'\((x) =\)\(3x^2 - 4x + 3\) )

Correct Answer: A

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Question 21 View Details

Solve the inequality \(x^2 - 4x + 3 > 0\) using the quadratic formula.

Correct A. \(x < 1\) or \(x > 3\)

B. \(x > 1\) or \(x < 3\)

C. \(x < 1\) and \(x > 3\)

D. \(x > 1\) and \(x < 3\)

Correct Answer: A

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Question 22 View Details

Find the value of (\(12x \\) ) given that \\((\)12x \(\(1x \\) = \(\frac{1}{2}\)\) ) and 1x \\) = \(\frac{\sqrt{3}}{2}\) ).

Correct A. \(-\frac{1}{2}\)

B. \(\frac{1}{2}\)

C. \(\frac{\sqrt{3}}{2}\)

D. \(-\frac{\sqrt{3}}{2}\)

Correct Answer: A

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Question 23 View Details

Solve the system of equations \(egin{cases} x + y = 2 \ 2x - y = 3 \end{cases}\) using substitution.

A. \(x = 1, y = 1\)

B. \(x = 2, y = 0\)

C. \(x = 0, y = 2\)

D. \(x = 1, y = 2\)

Correct Answer: VIEW ANSWER

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Question 24 View Details

A histogram of exam scores is shown below. If the mean score is 75 and the standard deviation is 10, what is the probability that a randomly selected student scored above 85?

Correct A. 0.5

B. 0.25

C. 0.75

D. 0.1

Correct Answer: A

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Question 25 View Details

Find the sum of the first 10 terms of the geometric series 2x + \(3x^2 + 4x^3\) + ...

A. \(1040x^10\)

Correct B. \(1050x^10\)

C. \(1060x^10\)

D. \(1070x^10\)

Correct Answer: B

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