POST UTME BABCOCK UNIVERSITY 2019 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
The mean of 5 numbers is 12. If one of the numbers is 15, what is the mean of the remaining 4 numbers?
A. 11
B. 12
C. 13
D. 14
Question 2
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 blue ball is drawn?
A. \frac{3}{8}
B. \frac{5}{8}
C. \frac{1}{2}
D. \frac{3}{4}
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. 40
C. 50
D. 60
Question 4
Solve the inequality \( x^2 - 4x + 3 > 0 \).
A. \( -\infty, 1 \) \cup \( 3, \infty \)
B. \( -\infty, 3 \) \cup \( 1, \infty \)
C. \( -\infty, 1 \) \cup (1, 3)
D. (1, 3)
Question 5
A group of fri\ends want to share some money in the ratio 2:3:5. If they have ₦1200 to share, how much will each person get?
A. ₦400
B. ₦600
C. ₦800
D. ₦1000
Question 6
A bakery sells 250 loaves of bread per day. If they make a profit of ₦5 per loaf, what is their total daily profit?
A. ₦1250
B. ₦12500
C. ₦125000
D. ₦1250000
Question 7
A box contains 5 red balls and 3 blue balls. If 2 balls are drawn at random, what is the probability that both balls are red?
A. \frac{5}{8}
B. \frac{3}{8}
C. \frac{1}{4}
D. \frac{1}{2}
Question 8
A sequence is defined as [ a_n = \frac{1}{n} \]. Find the sum of the first 5 terms of the sequence.
A. \frac{1}{1} + \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{5}
B. \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{5} + \frac{1}{6}
C. \frac{1}{1} + \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{5}
D. \frac{1}{1} + \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{6}
Question 9
Convert the decimal number 0.75 to a \fraction in its simplest form.
A. \frac{3}{4}
B. \frac{1}{4}
C. \frac{3}{5}
D. \frac{2}{3}
Question 10
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).
A. \( \frac{1}{3}\( 4^3 + 12 cdot 4^2 - 8 cdot 4 \ \) )
B. \( \frac{1}{3}\( 4^3 + 12 cdot 4^2 + 8 cdot 4 \ \) )
C. \( \frac{1}{3}\( 4^3 - 12 cdot 4^2 - 8 cdot 4 \ \) )
D. \( \frac{1}{3}\( 4^3 - 12 cdot 4^2 + 8 cdot 4 \ \) )
Question 11
Solve the quadratic equation \( x^2 + 4x + 4 = 0 \).
A. \left\( -2, 2 \right \)
B. \left\( -2 \right \)
C. \left\( 2 \right \)
D. \left\( -2, -1 \right \)
Question 12
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \left\( -\infty, -\frac{3}{2} \right \) \cup \left\( \frac{1}{2}, \infty \right \)
B. \left\( -\infty, \frac{1}{2} \right \) \cup \left\( \frac{3}{2}, \infty \right \)
C. \left\( -\infty, -\frac{1}{2} \right \) \cup \left\( \frac{3}{2}, \infty \right \)
D. \left\( -\infty, \frac{1}{2} \right \) \cup \left\( -\frac{3}{2}, \infty \right \)
Question 13
Solve the equation \( x^2 - 4x + 4 = 0 \).
A. x = 2
B. x = -2
C. x = 1
D. x = -1
Question 14
A box contains 5 red balls and 3 blue balls. If a ball is drawn at random, what is the probability that it is blue?
A. \( \frac{1}{4} \)
B. \( \frac{1}{2} \)
C. \( \frac{3}{8} \)
D. \( \frac{5}{8} \)
Question 15
A car travels from point A to point B at an average speed of 60 km/h. If the dis\tance between the two points is 240 km, how long does the journey take?
A. 4 hours
B. 6 hours
C. 8 hours
D. 10 hours

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