POST UTME CHRISTOPHER UNIVERSITY 2024 Mathematics | Objective

Are you preparing for POST UTME CHRISTOPHER UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2024 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1
Determine the value of x in the matrix equation \( egin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix} egin{bmatrix} x \ 2 \end{bmatrix} = egin{bmatrix} 14 \ 26 \end{bmatrix} \)
A. 3
B. 4
Correct C. 5
D. 6

Correct Answer: C

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Question 2
A binary operation ( oplus ) is defined as \( a oplus b = a + b - ab \). Find the value of ( 2 oplus 3 )
Correct A. 1
B. 2
C. 3
D. 4

Correct Answer: A

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Question 3
A random experiment consists of rolling a fair six-sided die. If the outcome is an even number, the experimenter wins a prize. Find the probability that the experimenter wins the prize
A. 1/2
B. 1/3
Correct C. 2/3
D. 3/4

Correct Answer: C

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Question 4
A histogram of exam scores is shown below. What is the mean score?
A. 40
Correct B. 50
C. 60
D. 70

Correct Answer: B

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Question 5
Find the determinant of the matrix \( egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} \)
A. 0
Correct B. 1
C. 2
D. 3

Correct Answer: B

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Question 6
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).
A. 64
B. 80
Correct C. 96
D. 128

Correct Answer: C

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Question 7
Solve for ( x ) in the equation \( 2^x + 5^x = 7^x \).
A. 1
Correct B. 2
C. 3
D. 4

Correct Answer: B

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Question 8
Find the value of \( \sin 2\theta \) given that \( \cos \theta = \frac{3}{5} \) and \( \sin \theta = \frac{4}{5} \).
Correct A. 0.8
B. 0.9
C. 1.2
D. 1.5

Correct Answer: A

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Question 9
A vector ( mathbf{a} ) has components \( a_x = 3 \) and \( a_y = 4 \). Find the magnitude of the vector.
A. 5
Correct B. 6
C. 7
D. 8

Correct Answer: B

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Question 10
Two events ( A ) and ( B ) are indep\endent. If ( P(A) = 0.3 ) and ( P(B) = 0.4 ), find the probability that both events occur.
A. 0.12
Correct B. 0.24
C. 0.36
D. 0.48

Correct Answer: B

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Question 11
Solve for x in the equation \( \tan^2 x + \tan x - 6 = 0 \) u\sing the quadratic formula.
Correct A. x = 0.5, x = -2
B. x = 1, x = -6
C. x = 2, x = -3
D. x = 3, x = -2

Correct Answer: A

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Question 12
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 13
Solve the inequality \( \frac{x - 2}{x + 1} > 0 \) u\sing a sign table.
Correct A. x < -1, x > 2
B. x < -1, x < 2
C. x > -1, x > 2
D. x > -1, x < 2

Correct Answer: A

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Question 14
Find the derivative of the function ( f(x) = \frac{1}{x^2 + 1} ) u\sing the quotient rule.
Correct A. f'(x) = \frac{-2x}{\( x^2 + 1 \)^2}
B. f'(x) = \frac{2x}{\( x^2 + 1 \)^2}
C. f'(x) = \frac{2}{\( x^2 + 1 \)^2}
D. f'(x) = \frac{-2}{\( x^2 + 1 \)^2}

Correct Answer: A

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Question 15
Solve the system of equations \( egin{cases} x + y = 4 \ x - y = 2 \end{cases} \) u\sing substitution.
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 16
Find the area of the triangle with vertices (0, 0), (3, 0), and (0, 4).
Correct A. 6
B. 8
C. 10
D. 12

Correct Answer: A

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Question 17
Solve the inequality \( x^2 - 4x - 5 > 0 \) u\sing factoring.
Correct A. x < -1, x > 5
B. x < -5, x > 1
C. x < 1, x > 5
D. x < 5, x > 1

Correct Answer: A

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