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POST UTME COVENANT UNIVERSITY 2024 Mathematics | Objective

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Question 1 View Details

Determine the mean of the following dataset: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.

A. 5

Correct B. 6

C. 7

D. 8

Correct Answer: B

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Question 2 View Details

Solve for x in the equation \(\frac{x}{2} + 3 = 7\).

A. 4

Correct B. 5

C. 6

D. 7

Correct Answer: B

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Question 3 View Details

Find the volume of the sphere with radius 4 cm.

Correct A. 256π

B. 512π

C. 1024π

D. 2048π

Correct Answer: A

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Question 4 View Details

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

Correct A. \(-∞, -1\) ∪ (3, ∞)

B. \(-∞, 1\) ∪ (3, ∞)

C. \(-∞, -3\) ∪ (1, ∞)

D. \(-∞, 3\) ∪ (1, ∞)

Correct Answer: A

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Question 5 View Details

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

A. 5

Correct B. 6

C. 7

D. 8

Correct Answer: B

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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 \(x = 4\).

A. 24

B. 28

Correct C. 32

D. 36

Correct Answer: C

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Question 7 View Details

Solve the system of equations: \(egin{cases} x + y + z = 6 \ 2x + 2y + z = 8 \ 3x + 3y + z = 9 \end{cases}\).

Correct A. [1, 2, 3]

B. [2, 1, 3]

C. [1, 3, 2]

D. [3, 2, 1]

Correct Answer: A

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Question 8 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. 2

D. 3

Correct Answer: A

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Question 9 View Details

A sequence is defined by the recurrence relation \(a_n = 2a_{n-1} + 1\), with initial term \(a_1 = 3\). Find the 5th term of the sequence.

A. 31

B. 33

Correct C. 35

D. 37

Correct Answer: C

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Question 10 View Details

A set of numbers is defined as S = { x in mathbb{R} : \\((x^2 - 4x + 3\)\(= 0\)\) }. Find the elements of the set.

Correct A. {1, 3}

B. {2, 3}

C. {1, 2}

D. {3, 4}

Correct Answer: A

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Question 11 View Details

Let ( f(x) = \(\frac{x^2 + 3x - 2}{x + 1}\)\)) ). Find the value of \(f -2 \\\() ). Find the value of (f -2\) ) using the concept of variation.

A. \(f -2 \\)\(= 0 )\)

Correct B. \(f -2 \\)\(= -2 )\)

C. \(f -2 \\)\(= 4 )\)

D. \(f -2 \\)\(= -4 )\)

Correct Answer: B

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Question 12 View Details

Find the sum of the first 10 terms of the geometric series ( 2, 6, 18, ldots ).

Correct A. ( 3050 )

B. ( 3060 )

C. ( 3070 )

D. ( 3080 )

Correct Answer: A

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Question 13 View Details

Solve the inequality \(2x^2 + 5x - 3 > 0\) using the concept of variation.

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

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

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

D. \(x < -\frac{3}{2}\) or \(x > -1\)

Correct Answer: A

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Question 14 View Details

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

Correct A. \(\frac{\pi}{4}\)

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

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

D. \(\frac{\pi}{6}\)

Correct Answer: A

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Question 15 View Details

Solve the equation \(\log_2 x + 1 \\) = 3 ) for ( x ).

Correct A. \(x = 7\)

B. \(x = 6\)

C. \(x = 5\)

D. \(x = 4\)

Correct Answer: A

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Question 16 View Details

Determine the value of x in the equation \(\frac{1}{2}x + 5 = \frac{3}{4}x - 3\).

Correct A. 6

B. 8

C. 10

D. 12

Correct Answer: A

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Question 17 View Details

Find the sum of the first 10 terms of the arithmetic sequence ( 2, 5, 8, ldots ).

A. 45

B. 50

Correct C. 55

D. 60

Correct Answer: C

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Question 18 View Details

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

Correct A. \(-\infty, -1\) \cup \(3, \infty\)

B. \(-\infty, 1\) \cup \(3, \infty\)

C. \(-\infty, -1\) \cup \(1, \infty\)

D. \(-\infty, 1\) \cup \(1, \infty\)

Correct Answer: A

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

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

Correct Answer: A

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Question 20 View Details

A set of 5 numbers has a mean of 10. Find the sum of the numbers.

Correct A. 50

B. 60

C. 70

D. 80

Correct Answer: A

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Question 21 View Details

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

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

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

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

D. \(\frac{1}{1 - x^2 \\)^{\(\frac{1}{2}\)\)}} )

Correct Answer: A

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Question 22 View Details

Solve the inequality \(2x^2 - 5x - 3 > 0\).

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

B. \(x < -1\) or \(x < \frac{3}{2}\)

C. \(x > -1\) or \(x > \frac{3}{2}\)

D. \(x < -1\) or \(x > \frac{3}{2}\)

Correct Answer: A

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Question 23 View Details

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

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

Correct B. \(\frac{5}{2}\)

C. \(\frac{7}{2}\)

D. \(\frac{9}{2}\)

Correct Answer: B

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Question 24 View Details

Find the sum of the first 5 terms of the geometric series \(2x + 3x^2 + 4x^3 + ldots\).

Correct A. \(2x + 3x^2 + 4x^3 + 5x^4 + 6x^5\)

B. \(2x + 3x^2 + 4x^3 + 5x^4 + 6x^5 + 7x^6\)

C. \(2x + 3x^2 + 4x^3 + 5x^4 + 6x^5 + 7x^6 + 8x^7\)

D. \(2x + 3x^2 + 4x^3 + 5x^4 + 6x^5 + 7x^6 + 8x^7 + 9x^8\)

Correct Answer: A

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Question 25 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. ( 2 )

D. ( 3 )

Correct Answer: A

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