POST UTME ACHIEVERS UNIVERSITY 2024 Mathematics | Objective

Prepare for your exams with POST UTME ACHIEVERS UNIVERSITY questions? Reviewing past/model 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 View Details
Determine the value of x in the equation \(2^x + 5^x = 3^x\) if x is a positive integer.
A. 1
Correct B. 2
C. 3
D. 4

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 2 View Details
Find the derivative of the function ( f(x) = \(\frac{1}{x^2 + 1}\)\)\) ) using the chain rule.
Correct A. ( f'\((x) = -\)\(\frac{2x}{x^2 + 1\) ^2}\)\) )
B. ( f'\((x) = -\)\(\frac{2}{x^2 + 1\) ^2}\)\) )
C. ( f'\((x) =\)\(\frac{2x}{x^2 + 1\) ^2}\)\) )
D. ( f'\((x) =\)\(\frac{2}{x^2 + 1\) ^2}\)\) )

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 3 View Details
Solve the system of linear equations using matrices: \(egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 5 \ 6 \end{bmatrix}\).
A. \(egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 1 \ 2 \end{bmatrix}\)
Correct B. \(egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 2 \ 1 \end{bmatrix}\)
C. \(egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 3 \ 4 \end{bmatrix}\)
D. \(egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 4 \ 3 \end{bmatrix}\)

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 4 View Details
Determine the value of the determinant of the matrix \(egin{bmatrix} 2 & 3 & 4 \ 5 & 6 & 7 \ 8 & 9 & 10 \end{bmatrix}\).
Correct A. ( 0 )
B. ( 1 )
C. ( 2 )
D. ( 3 )

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 5 View Details
Find the sum of the infinite geometric series \(sum_{n = 1}^{\infty} \frac{1}{2^n}\).
Correct A. ( 1 )
B. \(\frac{1}{2}\)
C. \(\frac{1}{3}\)
D. \(\frac{1}{4}\)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 6 View Details
Find the derivative of the function ( f(x) = \(\frac{x^2 + 2x - 3}{x^2 - 4}\)\)\) ) using the quotient rule.
A. f'\((x) =\)\(\frac{x^2 - 4\) 2x + 2 - \(x^2 + 2x - 3\) (2x)}{ \(x^2 - 4\) ^2}\)\)
Correct B. f'\((x) =\)\(\frac{x^2 + 2x - 3\) \(2x^2 - 8 - x^2 - 4\) \(2x^2 + 4x\) }{ \(x^2 - 4\) ^2}\)\)
C. f'\((x) =\)\(\frac{x^2 + 2x - 3\) \(2x^2 + 8 - x^2 - 4\) \(2x^2 - 4x\) }{ \(x^2 - 4\) ^2}\)\)
D. f'\((x) =\)\(\frac{x^2 + 2x - 3\) \(2x^2 - 8 - x^2 - 4\) \(2x^2 - 4x\) }{ \(x^2 - 4\) ^2}\)\)

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 7 View Details
A fair six-sided die is rolled. If the number 4 is rolled, a second die is rolled. If the number 6 is rolled, a third die is rolled. What is the probability that at least one 5 is rolled?
A. \(\frac{1}{6}\)\)
B. \(\frac{1}{3}\)\)
Correct C. \(\frac{2}{3}\)\)
D. \(\frac{5}{6}\)\)

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 8 View Details
Solve the inequality \(2x^2 + 5x - 3 > 0\) using the quadratic formula.
Correct A. \(x < -\)\(\frac{5}{4}\)\) \text{ or }\(x >\)\(\frac{3}{2}\)\)
B. \(x > -\)\(\frac{5}{4}\)\) \text{ or }\(x <\)\(\frac{3}{2}\)\)
C. \(x < -\)\(\frac{5}{4}\)\) \text{ and }\(x >\)\(\frac{3}{2}\)\)
D. \(x > -\)\(\frac{5}{4}\)\) \text{ and }\(x <\)\(\frac{3}{2}\)\)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 9 View Details
Find the area under the curve \(y = x^2 + 2x - 3\) from \(x = 0\) to \(x = 2\) using integration.
Correct A. \left[\(\frac{x^3}{3}\)\)\) + \(x^2 - 3x\)\right]_\(0^2\)
B. \left[\(\frac{x^3}{3}\)\)\) + \(x^2 - 3x\)\right]_\(2^0\)
C. \left[\(\frac{x^3}{3}\)\)\) + \(x^2 - 3x\)\right]_\(0^1\)
D. \left[\(\frac{x^3}{3}\)\)\) + \(x^2 - 3x\)\right]_\(1^0\)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 10 View Details
Solve the system of linear equations \(2x + 3y = 7\) and \(x - 2y = -3\) using substitution.
Correct A. \left\{\(x =\)\(\frac{17}{5}\)\),\(y =\)\(\frac{14}{5}\)\)\right\}
B. \left\{\(x =\)\(\frac{17}{5}\)\),\(y = -\)\(\frac{14}{5}\)\)\right\}
C. \left\{\(x = -\)\(\frac{17}{5}\)\),\(y =\)\(\frac{14}{5}\)\)\right\}
D. \left\{\(x = -\)\(\frac{17}{5}\)\),\(y = -\)\(\frac{14}{5}\)\)\right\}

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Help others prepare! Share this practice hub:
Chat with Support