POST UTME DELSU 2025 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the mean deviation of the data set ( 2, 4, 6, 8, 10 ).
A. \( \frac{20}{5} \)
B. \( \frac{40}{5} \)
C. \( \frac{60}{5} \)
D. \( \frac{80}{5} \)
Question 2
Find the equation of the circle with center \( -2, 3 \) and radius 4.
A. \( x + 2 \)^2 + \( y - 3 \)^2 = 16
B. \( x - 2 \)^2 + \( y + 3 \)^2 = 16
C. \( x + 3 \)^2 + \( y - 2 \)^2 = 16
D. \( x - 3 \)^2 + \( y + 2 \)^2 = 16
Question 3
A vector \mathbf{a} has a magnitude of 5 and makes an angle of 30° with the positive x-axis. Find the magnitude of the vector \mathbf{a} + \mathbf{b}, where \mathbf{b} is a unit vector in the direction of the negative y-axis.
A. 5.83
B. 6.07
C. 6.35
D. 6.67
Question 4
A histogram is constructed with 5 classes of equal width. The first class has a frequency of 10, the second class has a frequency of 15, the third class has a frequency of 20, the fourth class has a frequency of 12, and the fifth class has a frequency of 8. Find the class width.
A. 2
B. 3
C. 4
D. 5
Question 5
Find the derivative of the function ( f(x) = \sin^2 x ) u\sing the chain rule.
A. \( 2 \sin x \cos x \)
B. \( 2 \sin x \cos^2 x \)
C. \( 2 \cos x \sin^2 x \)
D. \( 2 \sin^2 x \cos x \)
Question 6
Find the equation of the circle with center \( -2, 3 \) and radius 4.
A. \( x + 2 \)^2 + \( y - 3 \)^2 = 16
B. \( x - 2 \)^2 + \( y + 3 \)^2 = 16
C. \( x + 2 \)^2 + \( y + 3 \)^2 = 16
D. \( x - 2 \)^2 + \( y - 3 \)^2 = 16
Question 7
Find the sum of the first 10 terms of the geometric series \( 2x^2 + 4x^3 + 8x^4 + ldots \).
A. \( 2x^2 left\( \frac{1 - 2^{10} x^{10}}{1 - 2x} \right \ \) )
B. \( 2x^2 left\( \frac{1 - 2^{10} x^{10}}{1 + 2x} \right \ \) )
C. \( 2x^2 left\( \frac{1 - 2^{10} x^{10}}{1 - 2x} \right \ \) + 4x^3 left\( \frac{1 - 2^{10} x^{10}}{1 - 2x} \right \) )
D. \( 2x^2 left\( \frac{1 - 2^{10} x^{10}}{1 + 2x} \right \ \) + 4x^3 left\( \frac{1 - 2^{10} x^{10}}{1 + 2x} \right \) )
Question 8
Find the value of \sin (2x) given that \sin (x) = 1/2.
A. 1
B. 1/2
C. 1/3
D. 1/4
Question 9
Find the sum of the first 10 terms of the geometric series \( 2x^2, 4x^3, 8x^4, ldots \).
A. 1024x^{10}
B. 512x^{10}
C. 256x^{10}
D. 128x^{10}
Question 10
Find the derivative of the function ( f(x) = \frac{x^2 + 2x - 3}{x^2 - 4} ) u\sing the quotient rule.
A. \( \frac{\( x^2 - 4 \)\( 2x + 2 \ \) - \( x^2 + 2x - 3 \)(2x)}{\( x^2 - 4 \)^2} )
B. \( \frac{\( x^2 - 4 \)\( 2x + 2 \ \) + \( x^2 + 2x - 3 \)(2x)}{\( x^2 - 4 \)^2} )
C. \( \frac{\( x^2 - 4 \)\( 2x + 2 \ \) - \( x^2 + 2x - 3 \)(2x)}{\( x^2 - 4 \)^2} )
D. \( \frac{\( x^2 - 4 \)\( 2x + 2 \ \) + \( x^2 + 2x - 3 \)(2x)}{\( x^2 - 4 \)^2} )
Question 11
Solve the equation \log_2 \( x + 1 \) = 3.
A. 7
B. 8
C. 9
D. 10
Question 12
A random sample of 25 students from a university had a mean height of 175.5 cm with a s\tandard deviation of 5.2 cm. If the population s\tandard deviation is 6.1 cm, calculate the 95% confidence interval for the mean height of all students in the university.
A. 169.4 cm, 181.6 cm
B. 171.1 cm, 179.9 cm
C. 173.5 cm, 177.5 cm
D. 175.1 cm, 175.9 cm
Question 13
Solve for x in the equation \( x^3 - 6x^2 + 11x - 6 = 0 \).
A. 1
B. 2
C. 3
D. 4
Question 14
In a random experiment, two events A and B are indep\endent. If P(A) = 0.4 and P(B) = 0.5, what is the probability that both events occur?
A. 0.2
B. 0.6
C. 0.8
D. 0.9
Question 15
Solve the system of linear equations \( egin{cases} x + 2y = 6 \ 3x - 2y = -3 \end{cases} \).
A. \( x = 3, y = 1.5 \)
B. \( x = 3, y = -1.5 \)
C. \( x = 3, y = 1.5 \)
D. \( x = 3, y = -1.5 \)

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