POST UTME AFE BABALOLA UNIVERSITY 2018 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A histogram is a graphical representation of the distribution of a set of data. What is the primary advantage of u\sing a histogram over a bar chart?
A. It provides a more detailed view of the data distribution
B. It is easier to read and unders\tand
C. It is more suitable for large datasets
D. It is more visually appealing
Question 2
Let X and Y be indep\endent random variables with probability density functions f_X(x) = 2x, 0 < x < 1 and f_Y(y) = 3y^2, 0 < y < 1. Find the probability that X + Y < 1.
A. \frac{1}{4}
B. \frac{1}{2}
C. \frac{3}{4}
D. \frac{5}{8}
Question 3
Find the mean of the data set: 2, 4, 6, 8, 10.
A. 6
B. 8
C. 10
D. 12
Question 4
Find the value of x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 5
Find the sum of the first 5 terms of the geometric progression ( 2, 6, 18, ... ).
A. 100
B. 120
C. 140
D. 160
Question 6
In a circle with center at point O and radius 6 units, what is the length of the arc intercepted by a central angle of 60 degrees?
A. 6\pi
B. 3\pi
C. 2\pi
D. \pi
Question 7
Find the mean and s\tandard deviation of the random variable X with probability density function f_X(x) = \frac{1}{2}x, 0 < x < 2.
A. \mu = 1, \sigma = \frac{1}{\sqrt{3}}
B. \mu = 1, \sigma = \frac{1}{\sqrt{2}}
C. \mu = 1, \sigma = \frac{1}{\sqrt{5}}
D. \mu = 1, \sigma = \frac{1}{\sqrt{6}}
Question 8
Find the area of the triangle with vertices ( (0, 0), (3, 0), (0, 4) ).
A. 6
B. 8
C. 10
D. 12
Question 9
Find the equation of the line pas\sing through the points (2, 3) and (4, 5).
A. y = 2x - 1
B. y = 2x + 1
C. y = -2x + 1
D. y = -2x - 1
Question 10
If ( f(x) = \frac{1}{x^2 + 1} ), find ( f'(x) ) u\sing the chain rule.
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}
Question 11
Solve for x in the equation \log_{10}\( x^2 \) = 4.
A. 10
B. 100
C. 1000
D. 10000
Question 12
A vector ( mathbf{a} ) has a magnitude of 5 and points in the direction \( 30^circ \) north of east. A vector ( mathbf{b} ) has a magnitude of 3 and points in the direction \( 60^circ \) south of west. Find the magnitude of the sum of ( mathbf{a} ) and ( mathbf{b} ).
A. 4
B. 5
C. 6
D. 7
Question 13
A histogram is constructed with a bin width of 5 units. If the mean of the data is 15 and the median is 10, what is the mode?
A. 5
B. 10
C. 15
D. 20
Question 14
Solve the inequality \( x^2 - 6x + 8 > 0 \).
A. \( x < -2 \) or \( x > 4 \)
B. \( x < 2 \) or \( x > 4 \)
C. \( x < -2 \) or \( x < 4 \)
D. \( x > 2 \) or \( x < 4 \)
Question 15
Solve the equation 2x^2 + 5x - 3 = 0 u\sing the quadratic formula.
A. 1/2
B. -1/2
C. 1
D. -1

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