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POST UTME NOUN 2024 Mathematics | Objective

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Question 1 View Details

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

Correct A. \(x = -2\)

B. \(x = -3\)

C. \(x = 2\)

D. \(x = 3\)

Correct Answer: A

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Question 2 View Details

A bakery sells a total of 480 loaves of bread per day. They sell a combination of whole wheat and white bread. If the ratio of whole wheat to white bread is 5:4, how many loaves of whole wheat bread are sold per day?

Correct A. 120

B. 150

C. 180

D. 200

Correct Answer: A

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Question 3 View Details

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

A. -1

B. 0

Correct C. 1

D. 2

Correct Answer: C

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Question 4 View Details

A histogram shows the distribution of exam scores for a class of 50 students. The histogram has 5 bars, with the heights of the bars being 8, 12, 15, 10, and 5. What is the mean of the exam scores?

A. 10

Correct B. 12

C. 15

D. 18

Correct Answer: B

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Question 5 View Details

In the circuit below, what is the current flowing through the 3-ohm resistor?

A. 1 A

B. 2 A

Correct C. 3 A

D. 4 A

Correct Answer: C

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Question 6 View Details

In the complex plane, let (z = 2 + 3i\). Find the polar form of ( z ) and express it in the form \(re^{i\\((z = 2 + 3i). Find the polar form of ( z ) and express it in the form \theta}), where ( r ) is the magnitude and \(\theta\\(), where ( r ) is the magnitude and (\) is the argument.

Correct A. \(\sqrt{13}e^{i\arc\tan\left \frac{3}{2}\right}\)

B. \(\sqrt{13}e^{i\arc\tan\left \frac{2}{3}\right}\)

C. \(\sqrt{13}e^{i\arc\tan\left \frac{3}{2}\right}\)

D. \(\sqrt{13}e^{i\arc\tan\left \frac{2}{3}\right}\)

Correct Answer: A

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Question 7 View Details

Let ( f(x) = \(x^2 + 2x - 3\) ) and ( g(x) = \(2x^2 - 4x + 1\) ). Find the value of ( f(g(x)) ) when \(x = 1\).

A. \(4\)

Correct B. \(5\)

C. \(6\)

D. \(7\)

Correct Answer: B

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Question 8 View Details

A set ( A ) contains the elements ( 1, 2, 3, 4, 5 ). A set ( B ) is defined as B = \{ x | x \in A, \(x > 3\) \} \. Find the number of elements in set ( B ).

A. \(2\)

B. \(3\)

Correct C. \(4\)

D. \(5\)

Correct Answer: C

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Question 9 View Details

A sequence is defined as \(a_n = 2n + 1\). Find the sum of the first 5 terms of the sequence.

A. \(15\)

B. \(20\)

C. \(25\)

Correct D. \(30\)

Correct Answer: D

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Question 10 View Details

A vector (\(\vec{a}\)\) is defined as \\((vec{a}\(\vec{a} = 2\hat{i} + 3\hat{j}\). Find the magnitude of \(\vec{a}\\(). Find the magnitude of (\).

A. \(5\)

Correct B. \(10\)

C. \(15\)

D. \(20\)

Correct Answer: B

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Question 11 View Details

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

A. 40

B. 50

Correct C. 60

D. 70

Correct Answer: C

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Question 12 View Details

A set ( A ) contains the elements \(\{1, 2, 3, 4, 5 \}\). Find the number of subsets of ( A ) that contain exactly two elements.

A. 10

Correct B. 15

C. 20

D. 25

Correct Answer: B

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Question 13 View Details

The mean of a set of numbers is 25. If the largest number is 50, find the sum of the remaining numbers.

A. 200

B. 250

Correct C. 300

D. 350

Correct Answer: C

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Question 14 View Details

Find the volume of the solid formed by rotating the region bounded by \(y = x^2\) and \(y = 4 - x\) about the x-axis.

A. 16\pi

Correct B. 32\pi

C. 64\pi

D. 128\pi

Correct Answer: B

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Question 15 View Details

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

A. 15

B. 25

Correct C. 35

D. 45

Correct Answer: C

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Question 16 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. Calculate the coefficient of variation (CV) of the sample.

A. 12.5%

Correct B. 15%

C. 17.5%

D. 20%

Correct Answer: B

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Question 17 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 18 View Details

A set of numbers is defined as {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Find the number of subsets of this set.

A. 10

B. 20

Correct C. 32

D. 64

Correct Answer: C

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Question 19 View Details

A sequence is defined as 2, 6, 12, 20, 30, ... . Find the next term in the sequence.

A. 42

Correct B. 48

C. 52

D. 56

Correct Answer: B

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Question 20 View Details

A matrix A is given by \(A = \begin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix}\). Find the determinant of matrix A.

Correct A. 0

B. 2

C. 4

D. 6

Correct Answer: A

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Question 21 View Details

Find the determinant of the matrix [ egin{pmatrix} 2 & 3 \ 4 & 5 \end{pmatrix} ].

A. 1

Correct B. -1

C. 2

D. 3

Correct Answer: B

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Question 22 View Details

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

Correct A. \(x = -2\)

B. \(x = 2\)

C. \(x = -1\)

D. \(x = 1\)

Correct Answer: A

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Question 23 View Details

A histogram is shown below. What is the mean of the data?

A. 10

Correct B. 20

C. 30

D. 40

Correct Answer: B

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Question 24 View Details

Find the volume of the cylinder with radius 4 cm and height 10 cm.

Correct A. 800\pi

B. 400\pi

C. 200\pi

D. 100\pi

Correct Answer: A

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Question 25 View Details

Solve the inequality [ \(2x - 5 > 3\) ].

Correct A. \(x > 4\)

B. \(x < 4\)

C. \(x > 2\)

D. \(x < 2\)

Correct Answer: A

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