POST UTME AFE BABALOLA UNIVERSITY 2023 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the determinant of the matrix \( egin{bmatrix} 2 & 3 & 4 \ 5 & 6 & 7 \ 8 & 9 & 10 \end{bmatrix} \).
A. 0
B. 1
C. 2
D. 3
Question 2
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 3
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 4
A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. If a marble is drawn at random, what is the probability that it is blue?
A. \frac{1}{5}
B. \frac{1}{10}
C. \frac{3}{10}
D. \frac{3}{5}
Question 5
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 6
Solve for x in the equation \( \frac{x}{2} + 3 = 7 \).
A. 4
B. 6
C. 8
D. 10
Question 7
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 8
Find the sum of the first 5 terms of the geometric sequence 2, 6, 18, ...
A. 62
B. 64
C. 66
D. 68
Question 9
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 10
In the matrix \( egin{bmatrix} 2 & 4 \ 6 & 8 \end{bmatrix} \), find the determinant.
A. -20
B. -16
C. -12
D. -8
Question 11
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 12
Solve the system of equations u\sing matrices: \n\begin{align*} \n 2x + 3y &= 7 \\n 4x - 2y &= -3 \n\end{align*}
A. x = 1, y = 2
B. x = 2, y = 1
C. x = 3, y = 4
D. x = 4, y = 3
Question 13
Find the value of x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 14
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 15
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

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