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POST UTME JOSEPH AYO BABALOLA UNIVERSITY 2017 Mathematics | Objective

Prepare for your exams with POST UTME JOSEPH AYO BABALOLA UNIVERSITY questions? Reviewing past/model 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 View Details

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

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 View Details

A set of 5 numbers has a mean of 10 and a standard 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 View Details

In a circle of radius 6, a chord of length 8 is drawn. If the chord is extended 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 View Details

A sequence is defined by the formula (a_$n = 2a$_{n-1} + 1\), where $a_1 = 3\\((a_n = 2a_{n-1} + 1), where$. 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 View Details

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 View Details

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 View Details

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 View Details

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 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 + $y - 3$^$2 = 4$

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 View Details

Find the equation of the line passing 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 View Details

Solve the inequality ($\frac{x}{x-2}\(> 0$\) for x in \$(frac{x}{x-2}\(> 0$$-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 View Details

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 View Details

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 View Details

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 View Details

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 View Details

In a normal distribution with mean $\mu = 10$ and standard 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 View Details

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 View Details

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 View Details

A random experiment has two independent 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 View Details

In a normal distribution with mean $\mu = 5$ and standard 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 View Details

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 View Details

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 View Details

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 View Details

Find the equation of the line passing 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 View Details

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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