POST UTME ELIZADE UNIVERSITY 2019 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve the inequality 3^x + 2^x > 5.
A. x > 1
B. x < 1
C. x > 2
D. x < 2
Question 2
Let ( f(x) = \frac{x^2 + 2x - 3}{x + 1} ). Find the derivative of ( f(x) ) u\sing the quotient rule.
A. \frac{2x + 2}{\( x + 1 \)^2}
B. \frac{2x + 2}{x + 1}
C. \frac{x^2 + 2x - 3}{\( x + 1 \)^2}
D. \frac{x^2 + 2x - 3}{x + 1}
Question 3
Solve the quadratic equation: \begin{align*} x^2 + 5x + 6 &= 0 \end{align*}
A. \text{Solution: } x = -2, x = -3
B. \text{Solution: } x = 2, x = 3
C. \text{Solution: } x = -1, x = -6
D. \text{Solution: } x = 1, x = 6
Question 4
A survey of 100 students found that 60% of them preferred Mathematics, 20% preferred Science, and 20% preferred both. What is the number of students who prefer only Mathematics?
A. 30
B. 40
C. 50
D. 60
Question 5
Find the derivative of the function f(x) = \\frac{1}{2x^2 + 1} u\sing the chain rule.
A. -\\frac{2x}{\( 2x^2 + 1 \)^2}
B. \\frac{2x}{\( 2x^2 + 1 \)^2}
C. -\\frac{1}{\( 2x^2 + 1 \)^2}
D. \\frac{1}{\( 2x^2 + 1 \)^2}
Question 6
Find the determinant of the matrix \( egin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix} \).
A. -1
B. 1
C. 2
D. 3
Question 7
Determine the volume of the frustum of a cone with a height of 12 cm, a lower base radius of 6 cm, and an upper base radius of 3 cm.
A. 120\pi
B. 240\pi
C. 360\pi
D. 480\pi
Question 8
Find the area under the curve \( y = x^2 + 2x - 3 \) from \( x = 0 \) to \( x = 2 \) u\sing integration.
A. \frac{10}{3}
B. \frac{11}{3}
C. \frac{12}{3}
D. \frac{13}{3}
Question 9
Find the derivative of the function ( f(x) = \frac{1}{x^2 + 1} ) u\sing the chain rule.
A. \frac{-2x}{\( x^2 + 1 \)^2}
B. \frac{-2x}{x^2 + 1}
C. \frac{2x}{\( x^2 + 1 \)^2}
D. \frac{2x}{x^2 + 1}
Question 10
A bakery sells 480 loaves of bread per day. If they make a profit of ₦2.50 per loaf, how much profit do they make in a day?
A. ₦1200
B. ₦1200.00
C. ₦1200.00
D. ₦1200.00
Question 11
A random variable X has a probability distribution given by ( P(X) = egin{cases} 0.2 & \text{if } X = 1 \ 0.3 & \text{if } X = 2 \ 0.5 & \text{if } X = 3 \end{cases} ). Find the expected value of X.
A. 1.5
B. 2
C. 2.5
D. 3
Question 12
A box contains 5 red balls and 3 blue balls. If a ball is drawn at random, what is the probability that it is blue?
A. 1/2
B. 1/3
C. 2/5
D. 3/5
Question 13
Find the value of x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 14
A histogram of exam scores has a mean of 75 and a s\tandard deviation of 10. If 80% of the scores are above 60, what is the value of the lower limit of the interval?
A. 50
B. 55
C. 60
D. 65
Question 15
Let X be a random variable with probability density function (pdf) given by f(x) = \\begin{cases} 2x & 0 < x < 1 \\ 0 & \text{otherwise} \\end{cases}. Find the probability that X is greater than 0.5.
A. 0.5
B. 0.75
C. 0.875
D. 0.9375

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