POST UTME JOSEPH AYO BABALOLA UNIVERSITY 2025 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve for ( x ) in the equation \( 2^x + 5^x = 7^x \).
A. -2
B. -1
C. 0
D. 1
Question 2
Find the equation of the circle with center ( (2, 3) ) and radius ( 4 ).
A. \( x - 2 \)^2 + \( y - 3 \)^2 = 16
B. \( x - 3 \)^2 + \( y - 2 \)^2 = 16
C. \( x + 2 \)^2 + \( y + 3 \)^2 = 16
D. \( x - 3 \)^2 + \( y + 2 \)^2 = 16
Question 3
In a geometric sequence, the first term is 2 and the common ratio is 3. If the sum of the first 5 terms is 341, find the sum of the next 5 terms.
A. 2048
B. 4096
C. 8192
D. 16384
Question 4
Find the area of the triangle with vertices ( (0, 0) ), ( (3, 0) ), and ( (0, 4) ).
A. 6
B. 12
C. 18
D. 24
Question 5
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. x < -1 or x > 3/2
B. x < 1 or x > -3/2
C. x < -3/2 or x > 1
D. x < 3/2 or x > -1
Question 6
Find the area under the curve y = x^2 + 2x + 1 from x = 0 to x = 3.
A. 27
B. 30
C. 33
D. 36
Question 7
A sequence is defined by \( a_n = 2n + 1 \). Find the sum of the first 5 terms.
A. 30
B. 40
C. 50
D. 60
Question 8
Solve for x in the equation: \log_{10} \( x^2 \) = 4
A. 10
B. 100
C. 1000
D. 10000
Question 9
Solve the equation \sin^2 x + \cos^2 x = 1 for x.
A. x = \frac{\pi}{4}
B. x = \frac{\pi}{2}
C. x = \frac{3\pi}{4}
D. x = \frac{5\pi}{4}
Question 10
Let X and Y be indep\endent events with P(X) = 0.4 and P(Y) = 0.6. Find P(X ∩ Y) u\sing the formula for indep\endent events.
A. 0.24
B. 0.36
C. 0.48
D. 0.64
Question 11
A histogram shows the distribution of exam scores for a class of 50 students. The histogram has 5 bars, each representing a different score range. If the mean score is 75 and the median score is 80, find the mode of the distribution.
A. 70
B. 75
C. 80
D. 85
Question 12
Solve the quadratic equation x^2 + 5x + 6 = 0.
A. -2, -3
B. -1, -4
C. -3, 2
D. -2, 3
Question 13
In a survey of 100 students, the mean height was 170 cm with a s\tandard deviation of 5 cm. If the heights of the students are normally distributed, what is the probability that a randomly selected student will be taller than 180 cm?
A. 0.1587
B. 0.3413
C. 0.4772
D. 0.6827
Question 14
Solve for x in the equation: \frac{1}{x+2} + \frac{1}{x-3} = \frac{1}{2}
A. 5
B. -2
C. 3
D. -1
Question 15
Find the sum of the first 10 terms of the geometric series \( 2 + 6 + 18 + ... \).
A. 1230
B. 1240
C. 1250
D. 1260

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