POST UTME UNN 2023 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 and B).
A. 0.24
B. 0.48
C. 0.64
D. 0.72
Question 2
A sequence is defined by the recurrence relation \( a_n = 2a_{n-1} + 3 \) with initial term \( a_1 = 2 \). Find the sum of the first 5 terms of the sequence.
A. 2 + 7 + 17 + 37 + 77
B. 2 + 5 + 11 + 21 + 41
C. 1 + 3 + 7 + 15 + 31
D. 3 + 5 + 9 + 17 + 33
Question 3
Find the volume of the frustum of a cone with height 6 cm, lower base radius 4 cm, and upper base radius 2 cm.
A. 24\pi cm^3
B. 48\pi cm^3
C. 96\pi cm^3
D. 192\pi cm^3
Question 4
Find the equation of the line pas\sing through the points (2, 3) and (4, 5).
A. y = 2x - 1
B. y = 2x + 1
C. y = -2x + 1
D. y = -2x - 1
Question 5
Solve the inequality \( 2x^2 - 5x + 3 > 0 \).
A. x < 1 or x > 3
B. x > 1 or x < 3
C. x < 3 or x > 1
D. x > 3 or x < 1
Question 6
Find the area under the curve \( y = \sin\( x \ \) ) from \( x = 0 \) to \( x = \frac{pi}{2} \).
A. \( \frac{pi}{2} \)
B. \( \frac{pi}{4} \)
C. \( \frac{pi}{8} \)
D. \( \frac{pi}{16} \)
Question 7
Solve the inequality 2x^2 + 5x - 3 > 0.
A. x < -1 or x > \frac{3}{2}
B. x < -1 or x < \frac{3}{2}
C. x > -1 or x > \frac{3}{2}
D. x > -1 or x < \frac{3}{2}
Question 8
Solve the quadratic equation \( x^2 + 5x + 6 = 0 \).
A. x = -2, x = -3
B. x = 2, x = 3
C. x = -1, x = 6
D. x = 1, x = 4
Question 9
Find the area under the curve y = x^2 from x = 0 to x = 4.
A. 64
B. 128
C. 256
D. 512
Question 10
A binary operation \( \ast \) is defined as \( a \ast b = a^2 + b^2 \). Find the value of \( 2 \ast 3 \).
A. 13
B. 14
C. 15
D. 16
Question 11
Solve for x in the equation \( 2^x + 3^x = 5^x \).
A. x = 2
B. x = 3
C. x = 4
D. x = 5
Question 12
Solve the inequality \( 2x - 5 > 3 \).
A. x > 4
B. x < 4
C. x > 2
D. x < 2
Question 13
A random variable X has a probability distribution given by P\( X = 1 \) = 1/4, P\( X = 2 \) = 1/2, and P\( X = 3 \) = 1/4. Find the expected value of X.
A. 1.5
B. 2.5
C. 3.5
D. 4.5
Question 14
A histogram represents the distribution of exam scores for a class of 50 students. The histogram has 5 bars, each representing a range of scores. The heights of the bars are 8, 12, 15, 10, and 5 units. Calculate the mean score of the class.
A. 70
B. 75
C. 80
D. 85
Question 15
Find the area under the curve y = x^2 + 2x - 3 from x = 0 to x = 3.
A. 27
B. 30
C. 33
D. 36

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