Exam Body

Year

Subject

Paper Type

POST UTME JOSEPH AYO BABALOLA UNIVERSITY 2018 Mathematics | Objective

Prepare for your exams with POST UTME JOSEPH AYO BABALOLA UNIVERSITY questions? Reviewing past/model questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2018 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1 View Details

Find the equation of the line passing through the points (2, 3) and (4, 5) in the vector form.

Correct A. $\vec{r} = \begin{pmatrix} 2 \\ 3 \end{pmatrix} + \lambda \begin{pmatrix} 2 \\ 2 \end{pmatrix}$

B. $\vec{r} = \begin{pmatrix} 2 \\ 3 \end{pmatrix} + \lambda \begin{pmatrix} 1 \\ 1 \end{pmatrix}$

C. $\vec{r} = \begin{pmatrix} 2 \\ 3 \end{pmatrix} + \lambda \begin{pmatrix} 3 \\ 2 \end{pmatrix}$

D. $\vec{r} = \begin{pmatrix} 2 \\ 3 \end{pmatrix} + \lambda \begin{pmatrix} 1 \\ 3 \end{pmatrix}$

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 2 View Details

Solve the equation $x^2 + 4x + 4 = 0$ using the quadratic formula.

A. $\frac{-4 \pm \sqrt{16 - 16}$}{2}\)

B. $\frac{-4 \pm \sqrt{16 + 16}$}{2}\)

Correct C. $\frac{-4 \pm \sqrt{16 - 4}$}{2}\)

D. $\frac{-4 \pm \sqrt{16 + 4}$}{2}\)

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 3 View Details

Find the equation of the circle with center (2, 3) and radius 4.

Correct A. \left$x - 2 \right$^2 + \left$y - 3 \right$^$2 = 16$

B. \left$x - 3 \right$^2 + \left$y - 2 \right$^$2 = 16$

C. \left$x - 4 \right$^2 + \left$y - 3 \right$^$2 = 16$

D. \left$x - 2 \right$^2 + \left$y - 4 \right$^$2 = 16$

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 4 View Details

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

Correct A. \left$x - 1 \right$ \left$x - 3 \right$$> 0$

B. \left$x - 2 \right$ \left$x - 2 \right$$> 0$

C. \left$x - 3 \right$ \left$x - 1 \right$$> 0$

D. \left$x - 1 \right$ \left$x - 3 \right$$< 0$

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 5 View Details

Find the equation of the line passing through the points (2, 3) and (4, 5) in the slope-intercept form.

A. $y = 1x + 1$

Correct B. $y = 2x + 2$

C. $y = 3x + 3$

D. $y = 4x + 4$

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 6 View Details

Find the derivative of the function ( f(x) = $\frac{1}{2x^2 + 3x - 1}$\)\) ) using the chain rule.

Correct A. $\frac{-2x + 3}{2x^2 + 3x - 1$ ^2}\)\)

B. $\frac{2x + 3}{2x^2 + 3x - 1$ ^2}\)\)

C. $\frac{2x - 3}{2x^2 + 3x - 1$ ^2}\)\)

D. $\frac{2x + 1}{2x^2 + 3x - 1$ ^2}\)\)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 7 View Details

A histogram of exam scores has a mean of 75 and a standard deviation of 10. If the scores are normally distributed, what is the probability that a randomly selected student scored above 90?

A. 0.1587

B. 0.3413

C. 0.4772

Correct D. 0.6915

Correct Answer: D

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 8 View Details

Solve the trigonometric equation $\tan^2 x + 2 $1x - 6 = 0$ for ( x ) in the interval ( [0, 2 pi] ).

A. $\frac{3 \pi}{12}$\)

Correct B. $\frac{5 \pi}{12}$\)

C. $\frac{7 \pi}{12}$\)

D. $\frac{11 \pi}{12}$\)

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 9 View Details

A random experiment has two independent events, A and B, with probabilities 0.4 and 0.6, respectively. What is the probability that both events occur?

Correct A. 0.24

B. 0.36

C. 0.48

D. 0.64

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 10 View Details

Find the equation of the tangent line to the curve $y = x^3 - 6x^2 + 9x + 2$ at the point \$tangent line to the curve (y = x^3 - 6x^2 + 9x + 2\(1, -4 \$ ).

Correct A. $y = 3x - 5$

B. $y = 3x - 7$

C. $y = 3x - 9$

D. $y = 3x - 11$

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 11 View Details

A random sample of 25 students from a university had a mean height of 175.5 cm with a standard deviation of 5.2 cm. If the population standard deviation is unknown, calculate the 95% confidence interval for the mean height of the university students.

A. 173.5 cm to 177.5 cm

Correct B. 171.5 cm to 179.5 cm

C. 174.5 cm to 176.5 cm

D. 172.5 cm to 178.5 cm

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 12 View Details

Solve the system of equations using matrices: $\begin{align*} x + y + z & = 6 \ 2x + 3y - z & = 2 \ -x + 2y + 3z & = -1 \end{align*}$

Correct A. $\begin{bmatrix} x \ y \ z \end{bmatrix} = \begin{bmatrix} 1 \ 2 \ 3 \end{bmatrix}$

B. $\begin{bmatrix} x \ y \ z \end{bmatrix} = \begin{bmatrix} 2 \ 1 \ 3 \end{bmatrix}$

C. $\begin{bmatrix} x \ y \ z \end{bmatrix} = \begin{bmatrix} 3 \ 2 \ 1 \end{bmatrix}$

D. $\begin{bmatrix} x \ y \ z \end{bmatrix} = \begin{bmatrix} 1 \ 3 \ 2 \end{bmatrix}$

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 13 View Details

Find the equation of the circle passing through the points (2, 3), (4, 5), and (6, 7).

Correct A. $x - 4$^2 + $y - 5$^$2 = 9$

B. $x - 3$^2 + $y - 4$^$2 = 16$

C. $x - 5$^2 + $y - 6$^$2 = 25$

D. $x - 6$^2 + $y - 7$^$2 = 36$

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 14 View Details

A binary operation (*\) on the set \{1, 2, 3, 4, 5\$(*) on the set \} is defined as \begin{align*} *: \{1, 2, 3, 4, 5\} \times \{1, 2, 3, 4, 5\} &\to \{1, 2, 3, 4, 5} \end{align*}. If \(a * b = 3\\(} end{align*}. If$, find the value of $a$ and $b$.

Correct A. $a = 2, b = 1$

B. $a = 3, b = 2$

C. $a = 4, b = 3$

D. $a = 5, b = 4$

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 15 View Details

Solve the equation $\frac{1}{x + 1} + \frac{1}{x - 1} = \frac{1}{2}$ for $x$.

Correct A. $x = 2$

B. $x = -2$

C. $x = 1$

D. $x = -1$

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 16 View Details

Solve the inequality ($\frac{x}{x-2}\(> 0$\) for x in \$(frac{x}{x-2}\(> 0$$-infty$, infty \ ).

Correct A. $-2, 2$ \cup $2, \infty$

B. $-\infty, -2$ \cup $2, \infty$

C. $-\infty, 2$ \cup $2, \infty$

D. $-\infty, 2$ \cup $2, \infty$

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 17 View Details

Find the volume of the frustum of a cone with height (h = 6\) cm, and radii of the bases $r_1 = 4\\((h = 6) cm, and radii of the bases$ cm and $r_2 = 2$ cm.

A. 48\pi

B. 64\pi

Correct C. 72\pi

D. 80\pi

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 18 View Details

Solve the system of equations: $x + y = 4$ and $x^2 + y^2 = 16$.

Correct A. \left\{ (2, 2) \right\}

B. \left\{ (2, 2), -2, -2 \right\}

C. \left\{ (2, 2), -2, 2 \right\}

D. \left\{ (2, 2), 2, -2 \right\}

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 19 View Details

Find the equation of the line passing through the points ( (2, 3) ) and ( (4, 5) ).

Correct A. $y = 2x - 1$

B. $y = 2x + 1$

C. $y = x - 1$

D. $y = x + 1$

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 20 View Details

Solve the quadratic equation $x^2 + 4x + 4 = 0$.

Correct A. \left\{ -2 \right\}

B. \left\{ -1, -3 \right\}

C. \left\{ -2, 2 \right\}

D. \left\{ -2, -4 \right\}

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 21 View Details

Find the sum of the first 10 terms of the geometric series with first term 2 and common ratio 3.

Correct A. 1.999999999

B. 2.999999999

C. 3.999999999

D. 4.999999999

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 22 View Details

A histogram is constructed from the following data: 2, 4, 6, 8, 10, 12, 14, 16. What is the class width?

A. 2

Correct B. 4

C. 6

D. 8

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 23 View Details

Find the equation of the tangent line to the curve $y = x\^2 + 2x - 3\\(tangent line to the curve (y = x$ at the point (1, 4).

Correct A. $y = 2x + 1$

B. $y = 2x - 1$

C. $y = x + 1$

D. $y = x - 1$

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 24 View Details

A polynomial f(x) has roots at x = -2, $x = 1$, and $x = 3$. What is the product of the roots?

Correct A. -6

B. -12

C. -18

D. -24

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 25 View Details

Find the area under the curve $y = x\^2$ from $x = 0$ to $x = 4$.

Correct A. 16

B. 32

C. 64

D. 128

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows

Help others prepare! Share this practice hub:

Chat with Support