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POST UTME JOSEPH AYO BABALOLA UNIVERSITY 2019 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 2019 Mathematics (Objective) questions designed to simulate the real exam environment.

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Question 1 View Details

Find the area under the curve $y = \frac{1}{2}x^2$ from $x = 0$ to $x = 4$.

Correct A. $\frac{16}{3}$

B. $\frac{32}{3}$

C. $\frac{64}{3}$

D. $\frac{128}{3}$

Correct Answer: A

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Question 2 View Details

Solve for ( x ) in the equation $2x^2 + 5x - 3 = 0$.

A. $x = -\frac{3}{2}$

Correct B. $x = \frac{1}{2}$

C. $x = -\frac{1}{2}$

D. $x = \frac{3}{2}$

Correct Answer: B

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Question 3 View Details

Find the determinant of the matrix $egin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix}$.

Correct A. ( 0 )

B. ( 1 )

C. $-1$

D. ( 2 )

Correct Answer: A

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Question 4 View Details

Find the area of the triangle with vertices ( (0, 0) ), ( (2, 0) ), and ( (0, 3) ).

Correct A. ( 6 )

B. ( 12 )

C. ( 18 )

D. ( 24 )

Correct Answer: A

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Question 5 View Details

Solve the inequality $2x^2 - 5x + 3 > 0$.

Correct A. $x < -\frac{1}{2}$ or $x > \frac{3}{2}$

B. $x < -\frac{3}{2}$ or $x > \frac{1}{2}$

C. $x < -\frac{1}{2}$ or $x < \frac{3}{2}$

D. $x < -\frac{3}{2}$ or $x < \frac{1}{2}$

Correct Answer: A

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Question 6 View Details

Find the area under the curve $y = \frac{1}{2}x^2 + 3x - 2$ from $x = 0$ to $x = 4$.

Correct A. ( 20 )

B. ( 24 )

C. ( 28 )

D. ( 32 )

Correct Answer: A

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Question 7 View Details

A circle has a radius of 5 cm. Find the area of the circle.

A. $50 \pi$

Correct B. $100 \pi$

C. $150 \pi$

D. $200 \pi$

Correct Answer: B

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Question 8 View Details

Find the derivative of the function $y = 2x^3 - 5x^2 + x - 1$ using the chain rule.

Correct A. $6x^2 - 10x + 1$

B. $6x^2 - 10x + 2$

C. $6x^2 - 10x - 1$

D. $6x^2 - 10x - 2$

Correct Answer: A

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Question 9 View Details

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

Correct A. $y = x + 1$

B. $y = x - 1$

C. $y = x + 2$

D. $y = x - 2$

Correct Answer: A

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Question 10 View Details

A random experiment has two independent events ( A ) and ( B ) with probabilities ( P(A) = 0.4 ) and ( P(B) = 0.6 ). Find the probability that both events occur.

A. ( 0.24 )

Correct B. ( 0.36 )

C. ( 0.48 )

D. ( 0.64 )

Correct Answer: B

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Question 11 View Details

Let $\mathbf{a} = egin{pmatrix} 2 \ 3 \end{pmatrix}$ and $\mathbf{b} = egin{pmatrix} 1 \ -2 \end{pmatrix}$. Find the projection of ( mathbf{b} ) onto ( mathbf{a} ).

Correct A. \begin{pmatrix} $\frac{7}{5}$\) \\ $\frac{6}{5}$\) \end{pmatrix}

B. \begin{pmatrix} $\frac{1}{5}$\) \\ -$\frac{2}{5}$\) \end{pmatrix}

C. \begin{pmatrix} $\frac{2}{5}$\) \\ -$\frac{3}{5}$\) \end{pmatrix}

D. \begin{pmatrix} -$\frac{1}{5}$\) \\ $\frac{2}{5}$\) \end{pmatrix}

Correct Answer: A

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Question 12 View Details

Find the equation of the plane passing through the points ( (1, 2, 3) ), ( (2, 3, 4) ), and ( (3, 4, 5) ).

Correct A. $3x + 2y - z = 6$

B. $2x + 3y - z = 6$

C. $x + 2y - 3z = 6$

D. $x + 3y - 2z = 6$

Correct Answer: A

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Question 13 View Details

Let ( f(x) = $(x^2 + 2x + 1$\) ). Find the equation of the \tangent line to the curve at the point where \$(x^2 + 2x + 1) ). Find the equation of the \(x = 1$.

Correct A. $y = 3x - 2$

B. $y = 3x + 2$

C. $y = 3x - 1$

D. $y = 3x + 1$

Correct Answer: A

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Question 14 View Details

A fair six-sided die is rolled. What is the probability that the number obtained is greater than 4?

A. $\frac{1}{6}$\)

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

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

Correct D. $\frac{5}{6}$\)

Correct Answer: D

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Question 15 View Details

A right circular cylinder has a height of 10 cm and a radius of 4 cm. Find the volume of the cylinder.

A. 80\pi

B. 160\pi

Correct C. 320\pi

D. 640\pi

Correct Answer: C

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Question 16 View Details

Solve for x in the equation $\log_{10} x^2 \$$= 4 ).$

A. 10

B. 100

C. 1000

Correct D. 10000

Correct Answer: D

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Question 17 View Details

Find the value of $\(12 \theta \$ ) given that 1\theta \\) = $\frac{3}{5}$\) ) and $$1\theta \$ = $\frac{4}{5}$\) ).

A. $√2$

Correct B. $√6$

C. $√10$

D. $√14$

Correct Answer: B

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Question 18 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 score is between 60 and 90?

A. 0.5

B. 0.6

Correct C. 0.7

D. 0.8

Correct Answer: C

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Question 19 View Details

Solve the quadratic equation $x^2 + 5x + 6 = 0$.

A. -2

Correct B. -3

C. -4

D. -5

Correct Answer: B

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Question 20 View Details

A vector ( vec{a} ) has a magnitude of 5 and makes an angle of 30° with the positive x-axis. Find the x and y components of ( vec{a} ).

Correct A. x: 4, y: 4

B. x: 4, y: 3

C. x: 3, y: 4

D. x: 3, y: 3

Correct Answer: A

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Question 21 View Details

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

A. $\frac{2x x^2 - 4 - x^2 + 2x - 3$ (2x)}{ $x^2 - 4$ ^2}\)\)

B. $\frac{2x x^2 - 4 + x^2 + 2x - 3$ (2x)}{ $x^2 - 4$ ^2}\)\)

Correct C. $\frac{2x x^2 - 4 - x^2 + 2x - 3$ (2x)}{ $x^2 - 4$ ^2}\)\)

D. $\frac{2x x^2 - 4 + x^2 + 2x - 3$ (2x)}{ $x^2 - 4$ ^2}\)\)

Correct Answer: C

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Question 22 View Details

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

Correct A. x < -1 or $x > 3/2$\)

B. $x <$$-3/2$ or $x > 1$

C. $x < 1$ or x > $-3/2$

D. $x < 3/2$\) or x > -1

Correct Answer: A

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Question 23 View Details

Find the equation of the circle with center $-2, 3 \$ ) and radius 4.

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

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

C. $x + 2$^2 + $y + 3$^$2 = 16$

D. $x - 2$^2 + $y - 3$^$2 = 16$

Correct Answer: A

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Question 24 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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Question 25 View Details

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

Correct A. $3x^2 - 4x + 3$

B. $3x^2 - 4x - 3$

C. $3x^2 + 4x + 3$

D. $3x^2 - 4x + 1$

Correct Answer: A

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