POST UTME JOSEPH AYO BABALOLA UNIVERSITY 2020 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the equation of the circle with center ( (2, 3) ) and radius ( 4 ).
A. \( x - 2 \ \)^2 + \( y - 3 \)^2 = 16 )
B. \( x - 3 \ \)^2 + \( y - 2 \)^2 = 16 )
C. \( x - 4 \ \)^2 + \( y - 3 \)^2 = 16 )
D. \( x - 2 \ \)^2 + \( y - 4 \)^2 = 16 )
Question 2
A histogram of exam scores is shown below. What is the mean score of the exam?
A. 60
B. 70
C. 80
D. 90
Question 3
A car travels from city A to city B at an average speed of 60 km/h. If the dis\tance between the two cities is 240 km, how long does the trip take?
A. 4 hours
B. 6 hours
C. 8 hours
D. 10 hours
Question 4
If \( \sin x = \frac{3}{5} \) and \( \cos x = \frac{4}{5} \), find the value of \( \tan x \)
A. \frac{3}{4}
B. \frac{4}{3}
C. \frac{12}{16}
D. \frac{15}{16}
Question 5
A circle has a radius of 4 cm. What is the area of the circle?
A. 50\pi
B. 100\pi
C. 200\pi
D. 300\pi
Question 6
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. 3/8
Question 7
A set of exam scores has a mean of 75 and a s\tandard deviation of 5. If the scores are normally distributed, what is the probability that a randomly selected score will be between 70 and 80?
A. 0.3413
B. 0.3413
C. 0.6827
D. 0.9544
Question 8
A circle has a radius of 5 units. Find the equation of the circle in s\tandard form.
A. \( x^2 + y^2 = 25 \)
B. \( x^2 + y^2 = 25 \)
C. \( x^2 - y^2 = 25 \)
D. \( x^2 + y^2 = 25 \)
Question 9
Find the derivative of the function \( f(x) = \frac{1}{x^2 + 1} \) with respect to x.
A. \frac{-2x}{\( x^2 + 1 \)^2}
B. \frac{2x}{\( x^2 + 1 \)^2}
C. \frac{-1}{\( x^2 + 1 \)^2}
D. \frac{1}{\( x^2 + 1 \)^2}
Question 10
Find the determinant of the matrix \[ \begin{bmatrix} 2 & 3 & 4 \\ 5 & 6 & 7 \\ 8 & 9 & 10 \end{bmatrix} \].
A. 0
B. 1
C. 2
D. 3
Question 11
Solve the inequality \frac{x^2 - 4}{x + 2} > 0.
A. x < -2 or x > 2
B. x > -2 or x < 2
C. x < -2 or x = 2
D. x > -2 or x = -2
Question 12
Find the equation of the line pas\sing through the points ( (1, 2) ) and ( (3, 4) ).
A. \( y = x + 1 \)
B. \( y = x - 1 \)
C. \( y = x + 1 \)
D. \( y = x - 1 \)
Question 13
Solve the system of equations u\sing matrices:
A. \( x = 2, y = 3 \)
B. \( x = 3, y = 2 \)
C. \( x = 4, y = 5 \)
D. \( x = 5, y = 4 \)
Question 14
A fair six-sided die is rolled. What is the probability that the number rolled is a multiple of 3?
A. 1/2
B. 1/3
C. 2/3
D. 1/6
Question 15
Find the determinant of the matrix \( egin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix} \).
A. ( 0 )
B. ( 1 )
C. ( 2 )
D. ( 3 )

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