POST UTME KSU 2022 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A group of fri\ends want to share some money in the ratio 3:5:7. If they have a total of ₦8400, how much will the person with the ratio 7 get?
A. ₦1680
B. ₦2520
C. ₦3360
D. ₦4200
Question 2
A binary operation \( * \) is defined as \( a * b = a^2 + b^2 \). Find the value of \( 2 * 3 \).
A. 13
B. 14
C. 15
D. 16
Question 3
Find the derivative of the function ( f(x) = \frac{1}{x^2 + 1} ) u\sing the chain rule.
A. -2x/\( x^2 + 1 \)^2
B. 2x/\( x^2 + 1 \)^2
C. -2/\( x^2 + 1 \)^2
D. 2/\( x^2 + 1 \)^2
Question 4
A circle has a radius of 5 units. If the center of the circle is at (3, 4), what is the equation of the circle?
A. \( x - 3 \)^2 + \( y - 4 \)^2 = 25
B. \( x - 4 \)^2 + \( y - 3 \)^2 = 25
C. \( x - 3 \)^2 + \( y - 4 \)^2 = 9
D. \( x - 4 \)^2 + \( y - 3 \)^2 = 9
Question 5
Determine the value of x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 6
A random variable X has a probability distribution given by P\( X = x \) = \( 1/2 \)^x for x = 0, 1, 2, ... . Find the probability that X is greater than 2.
A. 1/4
B. 1/2
C. 3/4
D. 1
Question 7
Find the derivative of $f(x) = \frac{x^2}{x^2+1}$ u\sing the quotient rule.
A. \frac{2x\( x^2+1 \) - 2x^2}{\( x^2+1 \)^2}
B. \frac{2x\( x^2+1 \) + 2x^2}{\( x^2+1 \)^2}
C. \frac{2x\( x^2+1 \) - 2x^2}{\( x^2+1 \)^2}
D. \frac{2x\( x^2+1 \) + 2x^2}{\( x^2+1 \)^2}
Question 8
Find the value of x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 9
A histogram shows the distribution of exam scores for a class of 50 students. The histogram has 5 bars, with the first bar representing scores 0-10, the second bar representing scores 11-20, and so on. If the mean score is 25, what is the median score?
A. 20
B. 25
C. 30
D. 35
Question 10
Find the determinant of the matrix \( \begin{bmatrix} 2 & 3 & 1 \ 4 & 1 & 2 \ 3 & 2 & 4 \end{bmatrix} \).
A. -1
B. 1
C. 2
D. 3
Question 11
A fair six-sided die is rolled. What is the probability that the number rolled is greater than 4?
A. 1/2
B. 1/3
C. 2/3
D. 1/6
Question 12
A bakery sells 250 loaves of bread per day. If they make a profit of ₦5 per loaf, how much profit do they make in a day?
A. ₦1250
B. ₦12500
C. ₦125000
D. ₦1250000
Question 13
Solve the inequality $|2x-3| \geq 5$.
A. x \leq -4 \text{ or } x \geq 4
B. x \leq 1 \text{ or } x \geq 4
C. x \leq -1 \text{ or } x \geq 4
D. x \leq -4 \text{ or } x \geq 1
Question 14
A cylindrical \tank with a radius of 5m and a height of 10m is filled with water. If the density of water is 1000 kg/m^3, calculate the volume of water in the \tank.
A. ( 500pi ) m^3
B. ( 1000pi ) m^3
C. ( 1500pi ) m^3
D. ( 2000pi ) m^3
Question 15
A curve is defined by the equation y = x^2 + 2x - 3. Find the equation of the \tangent to the curve at the point where x = 1.
A. y = 2x - 1
B. y = 2x + 1
C. y = x - 1
D. y = x + 1

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