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POST UTME JOSEPH AYO BABALOLA UNIVERSITY 2017 Mathematics | Objective

Are you preparing for POST UTME JOSEPH AYO BABALOLA UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2017 Mathematics (Objective) questions designed to simulate the real exam environment.

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Question 1

In a triangle $ABC$, if $\tan A = \frac{1}{3}$ and $\tan B = \frac{1}{2}$, find $\tan C$.

Correct A. \frac{7}{4}

B. \frac{4}{7}

C. \frac{5}{12}

D. \frac{12}{5}

Correct Answer: A

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Question 2

A set of 5 numbers has a mean of 10 and a s\tandard deviation of 2. If 3 more numbers are added to the set, the new mean is 12. What is the sum of the 3 additional numbers?

A. 30

B. 60

Correct C. 90

D. 120

Correct Answer: C

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Question 3

In a circle of radius 6, a chord of length 8 is drawn. If the chord is ext\ended by 4 units, what is the length of the new chord?

Correct A. 12

B. 10

C. 8

D. 6

Correct Answer: A

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Question 4

A sequence is defined by the formula $a_n = 2a_{n-1} + 1$, where $a_1 = 3$. Find the sum of the first 5 terms of the sequence.

A. 65

B. 70

Correct C. 75

D. 80

Correct Answer: C

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Question 5

In a right-angled triangle, the length of the hypotenuse is 10 and one of the legs is 6. Find the length of the other leg.

Correct A. 8

B. 6

C. 4

D. 2

Correct Answer: A

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Question 6

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

Correct A. \frac{256\pi}{15}

B. \frac{512\pi}{15}

C. \frac{256\pi}{3}

D. \frac{512\pi}{3}

Correct Answer: A

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Question 7

A histogram of the heights of students in a class is shown. Find the mean height of the students.

A. 170

Correct B. 172

C. 174

D. 176

Correct Answer: B

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Question 8

Find the area under the curve y = x^2 from x = 0 to x = 4.

A. 64

B. 80

Correct C. 96

D. 128

Correct Answer: C

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Question 9

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 = 4

C. $ x - 2 $^2 + $ y - 3 $^2 = 9

D. $ x - 2 $^2 + $ y - 3 $^2 = 25

Correct Answer: A

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Question 10

Find the equation of the line pas\sing through the points (1, 2) and (3, 4).

Correct A. y = x + 1

B. y = x - 1

C. y = x + 2

D. y = x - 2

Correct Answer: A

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Question 11

Solve the inequality $ \frac{x}{x-2} > 0 $ for $ x in \( -infty, infty \ $ ).

Correct A. x < 0 \text{ or } x > 2

B. x > 0 \text{ or } x < 2

C. x < 0 \text{ or } x = 2

D. x > 0 \text{ or } x = 2

Correct Answer: A

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Question 12

Find the area under the curve $ y = x^2 - 4x + 3 $ from $ x = 1 $ to $ x = 3 $.

A. 10

Correct B. 12

C. 14

D. 16

Correct Answer: B

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Question 13

Solve the system of equations $ x + y = 3 $ and $ xy = 2 $.

Correct A. x = 2, y = 1

B. x = 1, y = 2

C. x = -1, y = -2

D. x = 2, y = -1

Correct Answer: A

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Question 14

Find the mean of the data set ( 2, 4, 6, 8, 10 ).

A. 6

B. 8

Correct C. 10

D. 12

Correct Answer: C

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Question 15

Find the sum of the first 5 terms of the geometric sequence ( 2, 6, 18, 54, ... ).

Correct A. 242

B. 242

C. 242

D. 242

Correct Answer: A

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Question 16

In a normal distribution with mean $ mu = 10 $ and s\tandard deviation $ sigma = 2 $, find the probability that a randomly selected value lies between 8 and 12.

A. 0.5

B. 0.75

Correct C. 0.866

D. 0.95

Correct Answer: C

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Question 17

Solve the inequality $ \frac{x^2 - 4}{x^2 - 9} > 0 $.

Correct A. x in $ -infty, -3 $ cup (3, infty)

B. x in $ -infty, -3 $ cup (3, infty) cup (0, 3)

C. x in $ -infty, -3 $ cup (0, 3)

D. x in $ -infty, -3 $ cup (3, infty) cup $ -3, 0 $

Correct Answer: A

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Question 18

Find the area under the curve $ y = \frac{1}{x^2 + 1} $ from $ x = 0 $ to $ x = 1 $.

Correct A. \frac{pi}{4}

B. \frac{pi}{2}

C. \frac{pi}{3}

D. \frac{pi}{6}

Correct Answer: A

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Question 19

A random experiment has two indep\endent events (A) and (B) with probabilities (P(A) = 0.4) and (P(B) = 0.6). Find the probability that both events occur.

A. 0.2

Correct B. 0.24

C. 0.28

D. 0.32

Correct Answer: B

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Question 20

In a normal distribution with mean $ mu = 5 $ and s\tandard deviation $ sigma = 1.5 $, find the z-score corresponding to a value of 6.

A. 1

Correct B. 1.33

C. 1.5

D. 2

Correct Answer: B

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Question 21

Find the value of x in the quadratic equation $ x^2 + 5x + 6 = 0 $.

A. 2

Correct B. -3

C. -2

D. 1

Correct Answer: B

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Question 22

Solve the system of linear equations $ \begin{cases} 2x + 3y = 7 \ 4x - 2y = - 3 \end{cases} $.

Correct A. $ x = 1, y = 1 $

B. $ x = 2, y = 3 $

C. $ x = 3, y = 2 $

D. $ x = 4, y = 1 $

Correct Answer: A

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Question 23

Find the determinant of the matrix $ \begin{bmatrix} 2 & 3 & 1 \ 4 & 1 & 2 \ 3 & 2 & 4 \end{bmatrix} \ $.

Correct A. 10

B. 20

C. 30

D. 40

Correct Answer: A

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Question 24

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

Correct A. y = 2x - 1

B. y = 2x + 1

C. y = -2x + 1

D. y = -2x - 1

Correct Answer: A

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Question 25

Find the mean of the data set $ \{ 2, 4, 6, 8, 10 \} \ $.

A. 6

Correct B. 7

C. 8

D. 9

Correct Answer: B

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