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POST UTME UNN 2019 Mathematics | Objective

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Question 1 View Details

Find the value of x in the equation $2x^2 + 5x - 3 = 0$.

A. -1

Correct B. 1

C. 2

D. 3

Correct Answer: B

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Question 2 View Details

A histogram of exam scores is shown below. What is the mean score?

A. 50

B. 60

Correct C. 70

D. 80

Correct Answer: C

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Question 3 View Details

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

A. 2

B. 4

Correct C. 10

D. 20

Correct Answer: C

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Question 4 View Details

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

Correct A. 0

B. 1

C. 2

D. 3

Correct Answer: A

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Question 5 View Details

A population of 1000 bacteria is growing at a rate of 20% per hour. What is the population after 3 hours?

A. 1600

B. 1800

Correct C. 2000

D. 2200

Correct Answer: C

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Question 6 View Details

A random sample of 25 students from a university had a mean height of 175 cm with a standard deviation of 5 cm. If the population standard deviation is 6 cm, calculate the standard error of the mean.

A. 2.5 cm

Correct B. 3.33 cm

C. 4.17 cm

D. 5.00 cm

Correct Answer: B

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Question 7 View Details

A vector \mathbf{a} has a magnitude of 5 units and makes an angle of 30° with the positive x-axis. If a vector \mathbf{b} has a magnitude of 3 units and makes an angle of 60° with the positive x-axis, find the magnitude of the sum of the two vectors.

A. 4.33 units

B. 5.00 units

Correct C. 6.07 units

D. 7.07 units

Correct Answer: C

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Question 8 View Details

A circle has a radius of 4 cm. If the area of the circle is 50.24 cm², find the circumference of the circle.

A. 12.57 cm

Correct B. 15.71 cm

C. 25.13 cm

D. 31.42 cm

Correct Answer: B

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Question 9 View Details

A 3x3 matrix mathbf{A} has the following elements: \begin{bmatrix} 1 & 2 & 3 \\\(mathbf{A} has the following elements: begin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \\ 7 & 8 & 9 \end{bmatrix}. Find the determinant of the matrix.

Correct A. 0

B. 1

C. 2

D. 3

Correct Answer: A

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Question 10 View Details

A random experiment has two independent events A and B. The probability of event A occurring is 0.4, and the probability of event B occurring is 0.6. Find the probability that both events A and B 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

Determine the value of x in the equation $\frac{1}{x} + \frac{1}{2} = \frac{3}{4}$.

Correct A. 1

B. 2

C. 3

D. 4

Correct Answer: A

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Question 12 View Details

A histogram of exam scores is shown below. What is the mean score?

A. 50

B. 60

Correct C. 70

D. 80

Correct Answer: C

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Question 13 View Details

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

Correct A. -2

B. -1

C. 1

D. 2

Correct Answer: A

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Question 14 View Details

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

A. 16

B. 32

Correct C. 64

D. 128

Correct Answer: C

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Question 15 View Details

A sequence is defined by the formula $a_n = 2n + 1$. Find the 5th term of the sequence.

A. 9

B. 11

Correct C. 13

D. 15

Correct Answer: C

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Question 16 View Details

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

Correct A. $\frac{1}{2} \times 4^3 + 3 \times 4^2 - 2 \times 4$

B. $\frac{1}{2} \times 4^2 + 3 \times 4 - 2$

C. $\frac{1}{2} \times 4^3 + 3 \times 4^2 - 2 \times 4^2$

D. $\frac{1}{2} \times 4^2 + 3 \times 4^3 - 2 \times 4$

Correct Answer: A

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Question 17 View Details

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

Correct A. $x < -\frac{5}{2}$ or $x > \frac{3}{2}$

B. $x < -\frac{3}{2}$ or $x > \frac{5}{2}$

C. $x < -\frac{5}{2}$ or $x < \frac{3}{2}$

D. $x > -\frac{5}{2}$ or $x < \frac{3}{2}$

Correct Answer: A

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Question 18 View Details

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

A. $\frac{32}{3} \pi$

Correct B. $\frac{64}{3} \pi$

C. $\frac{128}{3} \pi$

D. $\frac{256}{3} \pi$

Correct Answer: B

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Question 19 View Details

Solve the equation $x^3 - 6x^2 + 11x - 6 = 0$.

Correct A. $x = 1, 2, 3$

B. $x = 1, 3, 4$

C. $x = 2, 3, 4$

D. $x = 1, 2, 5$

Correct Answer: A

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Question 20 View Details

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

A. ( 32 pi )

Correct B. ( 64 pi )

C. ( 128 pi )

D. ( 256 pi )

Correct Answer: B

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Question 21 View Details

Determine the value of $\int_{0}^{\pi} \frac{$1x}{1 + \cos^2 x} dx$.

Correct A. $\frac{\pi}{2}$\)

B. $\frac{\pi}{4}$\)

C. $\frac{\pi}{8}$\)

D. $\frac{\pi}{16}$\)

Correct Answer: A

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Question 22 View Details

A histogram of exam scores is shown below. What is the mean of the scores?

A. 40

Correct B. 50

C. 60

D. 70

Correct Answer: B

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Question 23 View Details

Solve for $x$: $\log_{10} x^2$$= 4$\).

A. 10

B. 100

C. 1000

Correct D. 10000

Correct Answer: D

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Question 24 View Details

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

Correct A. \ln 2

B. \ln 4

C. \ln 6

D. \ln 8

Correct Answer: A

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Question 25 View Details

A sequence is defined by $a_n = 2n + 1$. Find the sum of the first 5 terms.

A. 15

B. 25

C. 35

Correct D. 45

Correct Answer: D

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