POST UTME AFE BABALOLA UNIVERSITY 2020 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the area under the curve of the function f(x) = 2x^2 + 3x - 1 from x = 0 to x = 2.
A. 20
B. 22
C. 24
D. 26
Question 2
Solve the equation \( 2^x + 2^x = 2^{x+1} \) for ( x in mathbb{R} ).
A. \( x = 0 \)
B. \( x = 1 \)
C. \( x = -1 \)
D. \( x = 2 \)
Question 3
Find the derivative of the function ( f(x) = \sin^2(x) ) u\sing the chain rule.
A. ( f'(x) = 2\sin\( x)\cos(x \) )
B. ( f'(x) = \sin(x) )
C. ( f'(x) = \cos(x) )
D. ( f'(x) = 2\sin^2(x) )
Question 4
Find the sum of the first 10 terms of the geometric series: 2, 6, 18, 54, ...
A. 59049
B. 59050
C. 59051
D. 59052
Question 5
A set of 10 numbers has a mean of 20. If 5 is added to each number, what is the new mean?
A. 22
B. 25
C. 28
D. 30
Question 6
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}{\( x^2 + 1 \)^2}
C. \frac{1}{\( x^2 + 1 \)^2}
D. \frac{-1}{\( x^2 + 1 \)^2}
Question 7
A histogram has a mean of 25 and a s\tandard deviation of 5. If the data is normally distributed, what is the probability that a randomly selected value is greater than 30?
A. 0.1587
B. 0.3413
C. 0.5000
D. 0.8413
Question 8
Solve the inequality \( x^2 - 4x + 4 > 0 \).
A. x < 2
B. x > 2
C. x < 1
D. x > 1
Question 9
A right-angled triangle has a hypotenuse of length 10 units and one leg of length 6 units. Find the length of the other leg.
A. 8
B. 6
C. 4
D. 2
Question 10
Solve the inequality x^2 - 4x - 5 > 0.
A. \( -\infty, -1 \) \cup \( 5, \infty \)
B. \( -\infty, 1 \) \cup \( 5, \infty \)
C. \( -\infty, -1 \) \cup (1, 5)
D. \( -\infty, 1 \) \cup \( -5, \infty \)
Question 11
A company produces two products, A and B. The profit on each unit of A is ₦100 and the profit on each unit of B is ₦120. If the company produces 200 units of A and 300 units of B, what is the total profit?
A. ₦42,000
B. ₦48,000
C. ₦50,000
D. ₦60,000
Question 12
Solve the equation \( 2x^2 + 5x - 3 = 0 \) u\sing the quadratic formula. What is the value of ( x )?
A. \( x = -\frac{5}{4} \)
B. \( x = \frac{1}{2} \)
C. \( x = -\frac{3}{2} \)
D. \( x = \frac{3}{4} \)
Question 13
A sequence is defined by the formula \( a_n = 2n^2 - 5n + 1 \). Find the sum of the first 5 terms.
A. 15
B. 20
C. 25
D. 30
Question 14
Find the area under the curve y = x^2 from x = 0 to x = 2.
A. \frac{8}{3}
B. \frac{16}{3}
C. \frac{24}{3}
D. \frac{32}{3}
Question 15
A box contains 5 red balls and 3 blue balls. If 2 balls are drawn at random, what is the probability that at least one of the balls drawn is blue?
A. \frac{3}{8}
B. \frac{5}{8}
C. \frac{1}{2}
D. \frac{3}{4}

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