POST UTME ABU 2017 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Two events A and B are indep\endent. If P(A) = 0.4 and P(B) = 0.6, find P(A ∩ B).
A. 0.2
B. 0.4
C. 0.6
D. 0.8
Question 2
A set of 3 numbers has a median of 5 and a mode of 3. Find the mean of this set.
A. 4
B. 5
C. 6
D. 7
Question 3
Solve the system of equations \( x + y = 2 \) and \( xy = 1 \).
A. (1, 1)
B. \( 1, -1 \)
C. \( -1, 1 \)
D. \( -1, -1 \)
Question 4
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( -∞, -1 \) ∪ ( 3, ∞ )
B. \( -∞, -3 \) ∪ ( 1, ∞ )
C. \( -∞, 1 \) ∪ ( 3, ∞ )
D. \( -∞, -3 \) ∪ ( 1, ∞ )
Question 5
Solve the quadratic equation \( x^2 + 4x + 4 = 0 \).
A. -2
B. -1
C. 0
D. 1
Question 6
A circle has a radius of 4 cm. Find the area of the circle.
A. 50.24
B. 100.48
C. 200.96
D. 201.06
Question 7
Find the sum of the first 10 terms of the geometric progression 2, 6, 18, ...
A. 1023
B. 2046
C. 3079
D. 4092
Question 8
Find the volume of the solid formed by revolving the region bounded by the parabola y = x^2, the x-axis, and the line x = 2 about the x-axis.
A. 32\pi
B. 64\pi
C. 128\pi
D. 256\pi
Question 9
Solve the equation \( \log_{10} \( x^2 \ \) = 4 ) for ( x ).
A. \( x = 10 \)
B. \( x = -10 \)
C. \( x = 10^2 \)
D. \( x = -10^2 \)
Question 10
In a geometric sequence, the first term is 2 and the common ratio is 3. Find the sum of the first 5 terms of this sequence.
A. 731
B. 7311
C. 73111
D. 731111
Question 11
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 12
Find the integral of the function ( f(x) = x^2 \sin x ).
A. ( int f(x) dx = -x^2 \cos x - 2x \sin x + 2 \cos x + C )
B. ( int f(x) dx = -x^2 \cos x + 2x \sin x - 2 \cos x + C )
C. ( int f(x) dx = x^2 \cos x + 2x \sin x + 2 \cos x + C )
D. ( int f(x) dx = x^2 \cos x - 2x \sin x + 2 \cos x + C )
Question 13
A right circular cylinder has a height of 10 cm and a radius of 4 cm. Find the volume of the cylinder.
A. 800π
B. 1600π
C. 3200π
D. 6400π
Question 14
Find the derivative of the function ( f(x) = \frac{1}{x^2 + 1} ) u\sing the chain rule.
A. ( f'(x) = -\frac{2x}{\( x^2 + 1 \)^2} )
B. ( f'(x) = \frac{2x}{\( x^2 + 1 \)^2} )
C. ( f'(x) = -\frac{1}{\( x^2 + 1 \)^2} )
D. ( f'(x) = \frac{1}{\( x^2 + 1 \)^2} )
Question 15
Find the sum of the first 5 terms of the geometric progression 2, 6, 18, ...
A. 126
B. 128
C. 130
D. 132

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