Exam Body

Year

Subject

Paper Type

POST UTME CRAWFORD UNIVERSITY 2018 Mathematics | Objective

Prepare for your exams with POST UTME CRAWFORD UNIVERSITY questions? Reviewing past/model questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2018 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1 View Details

Let X and Y be independent events with P(X) = 0.4 and P(Y) = 0.6. Find P(\(X \cap Y\)).

Correct A. 0.2

B. 0.24

C. 0.3

D. 0.36

Correct Answer: A

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

Question 2 View Details

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

Correct A. \(x = -2\)

B. \(x = -3\)

C. \(x = 2\)

D. \(x = 3\)

Correct Answer: A

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

Question 3 View Details

A binary operation ( odot ) on the set of real numbers is defined as \(a odot b = ab + 2\). Find ( 3 odot 4 ).

A. 14

B. 16

Correct C. 18

D. 20

Correct Answer: C

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

Question 4 View Details

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

Correct A. -11

B. -9

C. -7

D. -5

Correct Answer: A

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

Question 5 View Details

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

Correct A. \(x > 4\)

B. \(x < 4\)

C. \(x > 3\)

D. \(x < 3\)

Correct Answer: A

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

Question 6 View Details

Find the determinant of the matrix [ egin{pmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{pmatrix} ].

A. 0

B. 1

Correct C. 2

D. 3

Correct Answer: C

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

Question 7 View Details

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

Correct A. \(-∞, -1\) ∪ (3, ∞)

B. \(-∞, -3\) ∪ (1, ∞)

C. \(-∞, -1\) ∪ (1, ∞)

D. \(-∞, 1\) ∪ (3, ∞)

Correct Answer: A

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

Question 8 View Details

Find the derivative of the function [\(f(x) =\)\(\frac{1}{x^2 + 1}\)\)\) ].

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

Correct B. \(\frac{2x}{x^2 + 1\) ^2}\)\)

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

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

Correct Answer: B

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

Question 9 View Details

Solve the system of equations [ egin{cases} \(x + y = 2\) \ \(2x - y = 3\) \end{cases} ].

Correct A. \{ (1, 1) \}

B. \{ (2, 0) \}

C. \{ (1, 0) \}

D. \{ (0, 2) \}

Correct Answer: A

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

Question 10 View Details

Find the area of the triangle with vertices [ A(1, 2), B(3, 4), C(5, 6) ].

Correct A. 10

B. 20

C. 30

D. 40

Correct Answer: A

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

Question 11 View Details

Let X and Y be independent random variables with probability density functions f_X(x) and f_Y(y), respectively. If E(X) = 2 and E(Y) = 3, find E(XY).

Correct A. 6

B. 12

C. 18

D. 24

Correct Answer: A

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

Question 12 View Details

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

A. -1

Correct B. 1

C. 2

D. 3

Correct Answer: B

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

Question 13 View Details

A histogram of exam scores has a mean of 60 and a standard deviation of 10. If the scores are normally distributed, find the probability that a randomly selected score is greater than 70.

A. 0.25

B. 0.5

C. 0.75

Correct D. 0.9

Correct Answer: D

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

Question 14 View Details

Find the derivative of the function f(x) = \(2x^2 + 3x - 1\) / \(x^2 + 1\) using the quotient rule.

A. \(4x + 3\) / \(x^2 + 1\)

Correct B. \(4x^2 + 3x - 1\) / \(x^2 + 1\)^2

C. \(8x + 6\) / \(x^2 + 1\)^2

D. \(8x^2 + 6x - 2\) / \(x^2 + 1\)^3

Correct Answer: B

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

Question 15 View Details

A vector ℓ\(= 2\)ℓ + 3℔, where ℓ = ℓi + ℔j. Find the magnitude of ℓ.

A. 5

B. 10

Correct C. 15

D. 20

Correct Answer: C

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

Question 16 View Details

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

Correct A. \(\frac{1}{2} \times 4^3 + 3 \times 4^2 - 2 \times 4\)

B. \(\frac{1}{2} \times 4^2 + 3 \times 4 - 2\)

C. \(\frac{1}{2} \times 4^3 + 3 \times 4^2 - 2 \times 4^2\)

D. \(\frac{1}{2} \times 4^2 + 3 \times 4^3 - 2\)

Correct Answer: A

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

Question 17 View Details

Find the equation of the line passing through the points ( (2, 3) ) and ( (4, 5) ).

Correct A. \(y = \frac{5-3}{4-2}x + \frac{3 \times 4 - 5 \times 2}{4-2}\)

B. \(y = \frac{5-3}{4-2}x + \frac{3 \times 2 - 5 \times 4}{4-2}\)

C. \(y = \frac{5-3}{4-2}x + \frac{3 \times 4 + 5 \times 2}{4-2}\)

D. \(y = \frac{5-3}{4-2}x + \frac{3 \times 2 + 5 \times 4}{4-2}\)

Correct Answer: A

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

Question 18 View Details

Find the volume of the cylinder with radius ( 4 ) and height ( 6 ).

Correct A. \(\pi \times 4^2 \times 6\)

B. \(\pi \times 4^2 \times 6^2\)

C. \(\pi \times 4^2 \times 6^3\)

D. \(\pi \times 4^3 \times 6^2\)

Correct Answer: A

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

Question 19 View Details

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

Correct A. \(2 \times 5 - 3 \times 4\)

B. \(2 \times 4 - 3 \times 5\)

C. \(2 \times 3 - 4 \times 5\)

D. \(2 \times 4 - 5 \times 3\)

Correct Answer: A

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

Question 20 View Details

Find the area of the circle with radius ( 4 ).

Correct A. \(\pi \times 4^2\)

B. \(\pi \times 4^3\)

C. \(\pi \times 4^4\)

D. \(\pi \times 4^5\)

Correct Answer: A

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

Question 21 View Details

Let X and Y be independent random variables with probability density functions f_\(X(x) = 2x\), \(0 < x\)\(< 1\), and f_\(Y(y) =\)\(3y^2\),\((0 < y\)\) < 1. Find P\(X > Y\\((0 < y) < 1. Find P\).

Correct A. \(\frac{1}{2}\)\)

B. \(\frac{1}{3}\)\)

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

D. \(\frac{3}{4}\)\)

Correct Answer: A

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

Question 22 View Details

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

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

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

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

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

Correct Answer: A

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

Question 23 View Details

Simplify the expression \sqrt[3]{\(64x^3y\)^3} using the properties of radicals.

Correct A. \(4x^3y\)^3

B. 4xy

C. \(4x^3y\)

D. \(4x^3y\)^3

Correct Answer: A

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

Question 24 View Details

Find the volume of the solid formed by revolving the region bounded by \(y = x\^2\), \(x = 0\), and \(x = 2\) about the x-axis.

Correct A. \(\frac{32\pi}{3}\)\)

B. \(\frac{16\pi}{3}\)\)

C. \(\frac{64\pi}{3}\)\)

D. \(\frac{128\pi}{3}\)\)

Correct Answer: A

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

Question 25 View Details

Find the surface area of the solid formed by revolving the region bounded by \(y = x\^2\), \(x = 0\), and \(x = 2\) about the x-axis.

A. 16\pi

Correct B. 32\pi

C. 64\pi

D. 128\pi

Correct Answer: B

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