POST UTME FUTA 2020 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the determinant of the matrix \\begin{bmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \\end{bmatrix}.
A. 0
B. 1
C. 2
D. 3
Question 2
Solve the inequality \( 2x - 5 > 3 \).
A. x > 4
B. x < 4
C. x > 2
D. x < 2
Question 3
Solve the inequality: 2x^2 + 5x - 3 > 0.
A. x < -1 or x > \frac{3}{2}
B. x < -1 or x < \frac{3}{2}
C. x > -1 or x > \frac{3}{2}
D. x > -1 or x < \frac{3}{2}
Question 4
Determine the mean of the following dataset: 2, 4, 6, 8, 10. If the mean is increased by 2, what is the new mean?
A. 12
B. 14
C. 16
D. 18
Question 5
A solid right circular cone has a height of 10 cm and a base radius of 4 cm. Find the volume of the cone in cubic centimeters.
A. 200\pi
B. 400\pi
C. 800\pi
D. 1600\pi
Question 6
A set of numbers has a mean of 20 and a s\tandard deviation of 5. If the numbers are normally distributed, find the probability that a randomly selected number is less than 15.
A. 0.1587
B. 0.1589
C. 0.1591
D. 0.1593
Question 7
A histogram is constructed with a bin width of 2. If the total area of the histogram is 12, what is the value of the mean?
A. 4
B. 6
C. 8
D. 10
Question 8
In a set of 10 integers, the sum of the first 5 integers is 25 and the sum of the last 5 integers is 30. If the integers are arranged in increa\sing order, what is the median of the set?
A. 27
B. 28
C. 29
D. 30
Question 9
Solve for x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 2
B. 4
C. 8
D. 16
Question 10
Find the volume of the solid formed by revolving the region bounded by y = x^2, y = 0, and x = 2 about the x-axis.
A. \frac{32\pi}{5}
B. \frac{64\pi}{5}
C. \frac{128\pi}{5}
D. \frac{256\pi}{5}
Question 11
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}{2}
B. \frac{1}{3}
C. \frac{2}{3}
D. \frac{3}{4}
Question 12
Solve the equation \log_2\( x^2 \) = 6.
A. 16
B. 32
C. 64
D. 128
Question 13
Find the surface area of the solid formed by revolving the region bounded by y = x^2, y = 0, and x = 2 about the x-axis.
A. \frac{32\pi}{3}
B. \frac{64\pi}{3}
C. \frac{128\pi}{3}
D. \frac{256\pi}{3}
Question 14
Solve the system of equations: x+y=4, 2x-3y=-5.
A. x=3, y=1
B. x=2, y=2
C. x=1, y=3
D. x=4, y=0
Question 15
Find the determinant of the matrix \( \begin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix} \).
A. 0
B. 1
C. -1
D. 2

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