POST UTME WELLSPRING UNIVERSITY 2019 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the area of the triangle with vertices (0, 0), (3, 0), and (0, 4).
A. 6
B. 8
C. 10
D. 12
Question 2
Solve the system of linear equations u\sing the method of substitution: x + y = 3 and 2x - 3y = -5.
A. x = 2, y = 1
B. x = 1, y = 2
C. x = 3, y = 0
D. x = 0, y = 3
Question 3
A set of 5 numbers has a mean of 10. Find the sum of the numbers.
A. 50
B. 50
C. 50
D. 50
Question 4
A histogram is shown below. Find the mean of the data.
A. 10
B. 12
C. 14
D. 16
Question 5
Find the area of the region bounded by the curves \( y = x^2 \) and \( y = 2x \).
A. \( \frac{4}{3} \)
B. \( \frac{2}{3} \)
C. \( \frac{1}{3} \)
D. \( \frac{1}{2} \)
Question 6
A histogram of exam scores has a mean of 80 and a s\tandard deviation of 10. If the scores are normally distributed, what is the probability that a randomly selected score is between 70 and 90?
A. 0.68
B. 0.84
C. 0.95
D. 0.99
Question 7
Solve the inequality \( 2^x + 2^{x+1} > 2^{x+2} \).
A. \( x < -2 \)
B. \( x > -2 \)
C. \( x < 0 \)
D. \( x > 0 \)
Question 8
Find the volume of the cylinder with radius 4 cm and height 10 cm.
A. 251.2
B. 251.2
C. 251.2
D. 251.2
Question 9
Find the equation of the circle with center $\( -2, 3 \)$ and radius $4$.
A. \( x + 2 \)^2 + \( y - 3 \)^2 = 16
B. \( x - 2 \)^2 + \( y + 3 \)^2 = 16
C. \( x + 2 \)^2 + \( y + 3 \)^2 = 16
D. \( x - 2 \)^2 + \( y - 3 \)^2 = 16
Question 10
Let X be a random variable with probability density function (pdf) given by f(x) = \( \frac{1}{2}e^{-|x|} \) for -∞ < x < ∞. Find the probability that X lies in the interval \( -1, 2 \).
A. 0.5
B. 0.6
C. 0.7
D. 0.8
Question 11
Solve the inequality $\log_{10} \( x^2 - 4 \) > 2$.
A. $x<-2$ or $x>2$
B. $x<-2$ or $x>4$
C. $x>2$ or $x<4$
D. $x<-4$ or $x>2$
Question 12
In the diagram below, $ABCD$ is a rec\tangle and $E$ is the midpoint of $BC$. If $AB=8$ and $BC=6$, find the area of triangle $ADE$.
A. 24
B. 30
C. 36
D. 48
Question 13
Find the sum of the first 10 terms of the geometric series with first term 2 and common ratio 3.
A. 104,783
B. 104,783
C. 104,783
D. 104,783
Question 14
Find the area under the curve y = \( \frac{1}{x^2 + 1} \) from x = 0 to x = 1.
A. 0.5
B. 0.6
C. 0.7
D. 0.8
Question 15
Solve the inequality $\frac{2x + 3}{x - 1} > 0$.
A. \boxed{\( -\infty, -\frac{3}{2} \) \cup \( 1, \infty \)}
B. \boxed{\( -\infty, -\frac{3}{2} \) \cup \( 1, \infty \)}
C. \boxed{\( -\infty, -\frac{3}{2} \) \cup \( 1, \infty \)}
D. \boxed{\( -\infty, -\frac{3}{2} \) \cup \( 1, \infty \)}

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