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POST UTME JOSEPH AYO BABALOLA UNIVERSITY 2025 Mathematics | Objective

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Question 1 View Details

Find the equation of the circle with center at ((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 + \(y - 2\)^\(2 = 16\) \)

D. \(x - 3 \\)^2 + \(y - 3\)^\(2 = 16\) \)

Correct Answer: A

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Question 2 View Details

Solve for x in the equation \(2x^2 + 5x - 3 = 0\).

Correct A. \(x = \frac{-5 \pm \sqrt{5^2 - 4 2 -3 \}}{2(2)}\)

B. \(x = \frac{-5 \pm \sqrt{5^2 - 4 2 \ (3)}}{2(2)}\)

C. \(x = \frac{-5 \pm \sqrt{5^2 - 4 2 -1 \}}{2(2)}\)

D. \(x = \frac{-5 \pm \sqrt{5^2 - 4 2 -2 \}}{2(2)}\)

Correct Answer: A

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Question 3 View Details

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

Correct A. \(\frac{4}{3} \\)

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

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

D. \(\frac{1}{2} \\)

Correct Answer: A

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Question 4 View Details

A fair six-sided die is rolled. What is the probability that the number rolled is greater than 4?

A. \(\frac{1}{6} \\)

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

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

Correct D. \(\frac{5}{6} \\)

Correct Answer: D

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Question 5 View Details

Solve the system of equations \(x + y = 2\) and \(2x - 3y = - 5\).

Correct A. \(x = \frac{3}{5}, y = \frac{7}{5} \\)

B. \(x = \frac{7}{5}, y = \frac{3}{5} \\)

C. \(x = \frac{3}{5}, y = - \frac{7}{5} \\)

D. \(x = - \frac{7}{5}, y = \frac{3}{5} \\)

Correct Answer: A

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Question 6 View Details

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

Correct A. 27

B. 30

C. 33

D. 36

Correct Answer: A

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Question 7 View Details

A solid cone has a height of 10 cm and a base radius of 4 cm. Find the volume of the cone.

A. 200\pi

Correct B. 250\pi

C. 300\pi

D. 350\pi

Correct Answer: B

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Question 8 View Details

The mean of 5 numbers is 12. If one of the numbers is 15, find the sum of the remaining 4 numbers.

A. 45

Correct B. 48

C. 51

D. 54

Correct Answer: B

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

C. \(x + 3\)^2 + \(y - 2\)^\(2 = 16\)

D. \(x - 3\)^2 + \(y + 2\)^\(2 = 16\)

Correct Answer: A

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Question 10 View Details

Solve the equation \\(\sin^2\) x + \\(\cos^2\) \(x = 1\) for x.

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

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

C. \(x =\)\(\frac{3\pi}{4}\)\)

D. \(x =\)\(\frac{5\pi}{4}\)\)

Correct Answer: A

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Question 11 View Details

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

Correct A. 0.24

B. 0.36

C. 0.48

D. 0.64

Correct Answer: A

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Question 12 View Details

Find the magnitude of the vector \overrightarrow{a} = <2, 3, -\(1 >\).

A. 1

Correct B. \(\sqrt{14}\)

C. 2\sqrt{7}

D. 3\sqrt{2}

Correct Answer: B

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Question 13 View Details

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

Correct A. -2, -3

B. -1, -4

C. -3, 2

D. -2, 3

Correct Answer: A

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Question 14 View Details

Find the derivative of the function f(x) = \(x^3 - 2x^2 + 5x - 1\).

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

B. \(x^2 - 2x + 1\)

C. \(2x^2 - 3x + 2\)

D. \(x^2 + 2x - 3\)

Correct Answer: A

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Question 15 View Details

Solve the trigonometric equation \\(sin(x) =\)\cos(x).

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

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

C. \(\frac{3\pi}{4}\)\)

D. \(\frac{5\pi}{4}\)\)

Correct Answer: A

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Question 16 View Details

In a geometric sequence, the first term is 2 and the common ratio is 3. If the sum of the first 5 terms is 341, find the sum of the next 5 terms.

A. 2048

B. 4096

Correct C. 8192

D. 16384

Correct Answer: C

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Question 17 View Details

Solve for x in the equation: \(\frac{1}{x+2}\)\) + \(\frac{1}{x-3}\)\) = \(\frac{1}{2}\)\)

A. 5

Correct B. -2

C. 3

D. -1

Correct Answer: B

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Question 18 View Details

A circle has a radius of 4 cm. If the area of the circle is 50.24 \(cm^2\), find the circumference of the circle.

Correct A. 25.12

B. 50.24

C. 100.48

D. 200.96

Correct Answer: A

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Question 19 View Details

A histogram shows the distribution of exam scores for a class of 50 students. The histogram has 5 bars, each representing a different score range. If the mean score is 75 and the median score is 80, find the mode of the distribution.

A. 70

B. 75

Correct C. 80

D. 85

Correct Answer: C

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Question 20 View Details

Solve for x in the equation: \log_{10} \(x^2 = 4\)

A. 10

B. 100

C. 1000

Correct D. 10000

Correct Answer: D

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Question 21 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 22 View Details

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

Correct A. x < -1 or \(x > 3/2\)\)

B. \(x < 1\) or x > \(-3/2\)

C. \(x <\)\(-3/2\) or \(x > 1\)

D. \(x < 3/2\)\) or x > -1

Correct Answer: A

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Question 23 View Details

Find the sum of the first 10 terms of the geometric series \(2 + 6 + 18 + ..\)..

A. 1230

B. 1240

Correct C. 1250

D. 1260

Correct Answer: C

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Question 24 View Details

Solve the trigonometric equation \(\sin^2 x + \cos^2 x = 1\).

Correct A. \(x = 0\)

B. \(x = 90\)

C. \(x = 180\)

D. \(x = 270\)

Correct Answer: A

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Question 25 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. \(x - 4\)^2 + \(y - 3\)^\(2 = 16\)

D. \(x - 2\)^2 + \(y - 4\)^\(2 = 16\)

Correct Answer: A

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