POST UTME JOSEPH AYO BABALOLA UNIVERSITY 2020 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the area under the curve y = x^2 from x = 0 to x = 4.
A. 32
B. 64
C. 16
D. 128
Question 2
Let \( S = {x in mathbb{R} : x^2 - 6x + 8 = 0} \). Find the sum of all elements in ( S ).
A. 4
B. 6
C. 8
D. 10
Question 3
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 4
Find the derivative of the function ( f(x) = \frac{x^2 + 2x - 3}{x^2 - 4} ) u\sing the quotient rule.
A. \( \frac{\( 2x + 2 \)\( x^2 - 4 \ \) - \( x^2 + 2x - 3 \)(2x)}{\( x^2 - 4 \)^2} )
B. \( \frac{\( 2x + 2 \)\( x^2 - 4 \ \) + \( x^2 + 2x - 3 \)(2x)}{\( x^2 - 4 \)^2} )
C. \( \frac{\( 2x + 2 \)\( x^2 - 4 \ \) - \( x^2 + 2x - 3 \)(2x)}{\( x^2 - 4 \)^2} )
D. \( \frac{\( 2x + 2 \)\( x^2 - 4 \ \) + \( x^2 + 2x - 3 \)(2x)}{\( x^2 - 4 \)^2} )
Question 5
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 6
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 7
Find the area under the curve \( y = \frac{1}{2}x^2 \) from \( x = 0 \) to \( x = 4 \).
A. ( 8 )
B. ( 16 )
C. ( 32 )
D. ( 64 )
Question 8
Simplify the expression \( \frac{\sqrt{4x^2 + 5}}{x + 1} \)
A. \sqrt{x^2 + 1}
B. \frac{\sqrt{x^2 + 1}}{x + 1}
C. \frac{\sqrt{x^2 + 5}}{x + 1}
D. \frac{\sqrt{x^2 + 4}}{x + 1}
Question 9
Find the sum of the first 5 terms of the geometric progression 2, 6, 18, ...
A. 62
B. 64
C. 66
D. 68
Question 10
Find the derivative of the function ( f(x) = \frac{1}{x^2} ) u\sing the chain rule.
A. ( f'(x) = -\frac{2}{x^3} )
B. ( f'(x) = \frac{2}{x^3} )
C. ( f'(x) = -\frac{1}{x^3} )
D. ( f'(x) = \frac{1}{x^3} )
Question 11
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 12
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 13
Find the derivative of ( 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 14
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 15
Find the area under the curve \( y = x^2 + 2x - 3 \) from \( x = 0 \) to \( x = 2 \).
A. \( \frac{14}{3} \)
B. \( \frac{14}{3} \)
C. \( \frac{14}{3} \)
D. \( \frac{14}{3} \)

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