POST UTME ELIZADE UNIVERSITY 2025 Mathematics | Objective

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Question 1 View Details
A solid right circular cone has a height of 15 cm and a base radius of 8 cm. Find the volume of the cone in cubic centimeters.
A. 200\pi
B. 400\pi
Correct C. 600\pi
D. 800\pi

Correct Answer: C

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Question 2 View Details
Solve the equation \(x^2 + 4x + 4 = 0\) using the quadratic formula.
Correct A. -2
B. -1
C. 1
D. 2

Correct Answer: A

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Question 3 View Details
A circle has a diameter of 10 cm. Find the area of the circle in square centimeters.
A. 25\pi
Correct B. 50\pi
C. 75\pi
D. 100\pi

Correct Answer: B

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Question 4 View Details
A right-angled triangle has a base of 5 cm and a height of 12 cm. Find the length of the hypotenuse using the Pythagorean theorem.
A. 13
B. 14
Correct C. 15
D. 16

Correct Answer: C

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Question 5 View Details
A solid cylinder has a radius of 4 cm and a height of 10 cm. Find the volume of the cylinder in cubic centimeters.
A. 160\pi
B. 320\pi
Correct C. 400\pi
D. 800\pi

Correct Answer: C

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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. 40
B. 50
Correct C. 60
D. 70

Correct Answer: C

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Question 7 View Details
Solve for ( x ) in the equation \(2x^2 - 5x - 3 = 0\).
A. 1
Correct B. -1
C. 2
D. -2

Correct Answer: B

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Question 8 View Details
Find the determinant of the matrix \(\begin{bmatrix} 2 & 3 & 1 \ 4 & 1 & 2 \ 3 & 2 & 4 \end{bmatrix}\).
Correct A. 0
B. 1
C. 2
D. 3

Correct Answer: A

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Question 9 View Details
A die is rolled twice. What is the probability that the sum of the two numbers is 7?
Correct A. \(1/6\)
B. \(1/12\)
C. \(1/18\)
D. \(1/24\)

Correct Answer: A

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Question 10 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. \(x - 3\)^2 + \(y - 2\)^\(2 = 16\)
C. \(x - 2\)^2 + \(y - 3\)^\(2 = 9\)
D. \(x - 3\)^2 + \(y - 2\)^\(2 = 9\)

Correct Answer: A

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Question 11 View Details
Find the determinant of the matrix \(egin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix}\).
A. 1
Correct B. -1
C. 2
D. 3

Correct Answer: B

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Question 12 View Details
Solve the equation \(x^2 + 4x + 4 = 0\) using the quadratic formula.
Correct A. -2
B. -1
C. 1
D. 2

Correct Answer: A

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Question 13 View Details
Find the equation of the circle with center ( (2, 3) ) and radius 4.
Correct A. \left\(x - 2 \right\)^2 + \left\(y - 3 \right\)^\(2 = 16\)
B. \left\(x - 2 \right\)^2 + \left\(y - 3 \right\)^\(2 = 25\)
C. \left\(x - 2 \right\)^2 + \left\(y - 3 \right\)^\(2 = 36\)
D. \left\(x - 2 \right\)^2 + \left\(y - 3 \right\)^\(2 = 49\)

Correct Answer: A

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Question 14 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. \(3x^2 + 4x - 3\)

Correct Answer: A

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Question 15 View Details
Solve the inequality \(2x - 3 > 5\) using algebraic manipulation.
Correct A. \(x > 4\)
B. \(x < 4\)
C. \(x > 2\)
D. \(x < 2\)

Correct Answer: A

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Question 16 View Details
Find the equation of the line passing through the points ( (2, 3) ) and ( (4, 5) ).
Correct A. \(y = x + 1\)
B. \(y = x - 1\)
C. \(y = -x + 1\)
D. \(y = x + 2\)

Correct Answer: A

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Question 17 View Details
Solve the system of equations \(x + y = 4\) and \(x - y = 2\) using 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 18 View Details
Find the area of the triangle with vertices ( (0, 0) ), ( (3, 0) ), and ( (0, 4) ).
A. 6
B. 8
C. 10
D. 12

Correct Answer: VIEW ANSWER

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