POST UTME AFE BABALOLA UNIVERSITY 2023 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve for x in the equation \( \frac{x}{2} + 3 = 7 \).
A. 4
B. 6
C. 8
D. 10
Question 2
In the matrix \( egin{bmatrix} 2 & 4 \ 6 & 8 \end{bmatrix} \), find the determinant.
A. -20
B. -16
C. -12
D. -8
Question 3
A bakery sells 250 loaves of bread per day. If each loaf \costs ₦120, how much money does the bakery make in a day?
A. ₦30,000
B. ₦30,500
C. ₦31,000
D. ₦31,500
Question 4
Find the area under the curve y = x^2 + 2x - 3 from x = 0 to x = 3 u\sing integration.
A. 30
B. 40
C. 50
D. 60
Question 5
Solve the system of equations u\sing matrices: \begin{align*} x + y &= 4 \ 2x - y &= 3 \end{align*}
A. \begin{bmatrix} 1 \ 2 \end{bmatrix}
B. \begin{bmatrix} 2 \ 1 \end{bmatrix}
C. \begin{bmatrix} 3 \ 4 \end{bmatrix}
D. \begin{bmatrix} 4 \ 3 \end{bmatrix}
Question 6
In a geometric sequence with first term (a) and common ratio (r), find the sum of the first 5 terms if \( a = 2 \) and \( r = 3 \).
A. 2\( 3^5 - 1 \)/\( 3 - 1 \)
B. 2\( 3^5 - 1 \)/\( 3 + 1 \)
C. 2\( 3^5 + 1 \)/\( 3 - 1 \)
D. 2\( 3^5 + 1 \)/\( 3 + 1 \)
Question 7
Solve the trigonometric equation \( \sin^2 x + \cos^2 x = 1 \).
A. x = \frac{\pi}{4}
B. x = \frac{\pi}{2}
C. x = \frac{3\pi}{4}
D. x = \frac{5\pi}{4}
Question 8
Find the value of x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 9
Determine the mean of the following data set: 2, 4, 6, 8, 10. If the mean is increased by 2, what is the new mean?
A. 12
B. 14
C. 16
D. 18
Question 10
A rec\tangular prism has a length of 5 cm, a width of 3 cm, and a height of 2 cm. Find its volume.
A. 30
B. 50
C. 60
D. 70
Question 11
Solve the matrix equation \( egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 5 \ 6 \end{bmatrix} \).
A. x = 1, y = 2
B. x = 2, y = 3
C. x = 3, y = 4
D. x = 4, y = 5
Question 12
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 journey take?
A. 4 hours
B. 5 hours
C. 6 hours
D. 7 hours
Question 13
A histogram of exam scores has a mean of 60 and a s\tandard deviation of 10. If the scores are normally distributed, what is the probability that a randomly selected score will be between 50 and 70?
A. 0.5
B. 0.6
C. 0.7
D. 0.8
Question 14
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 15
Find the sum of the first 5 terms of the geometric sequence 2, 6, 18, ...
A. 62
B. 64
C. 66
D. 68

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