POST UTME BSU 2017 Mathematics | Objective

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Question 1 View Details
Find the value of x in the equation \(\frac{1}{x} + \frac{1}{x+1} = \frac{1}{2}\).
Correct A. 1
B. 2
C. 3
D. 4

Correct Answer: A

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Question 2 View Details
Solve the inequality \(2x^2 + 5x - 3 > 0\).
Correct A. x<-3 or \(x > 1\)
B. x<-1 or \(x > 3\)
C. x<-1 or \(x < 3\)
D. \(x > 1\) or \(x < 3\)

Correct Answer: A

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Question 3 View Details
Find the area under the curve \(y = x^2 - 4x + 3\) from \(x = 1\) to \(x = 3\).
A. 10
B. 12
Correct C. 14
D. 16

Correct Answer: C

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Question 4 View Details
Find the determinant of the matrix \(egin{bmatrix} 2 & 1 & 3 \ 4 & 2 & 1 \ 3 & 4 & 2 \end{bmatrix}\).
Correct A. -1
B. 1
C. 2
D. 3

Correct Answer: A

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Question 5 View Details
Find the mean of the data set ( { 2, 4, 6, 8, 10 } ).
A. 5
Correct B. 6
C. 7
D. 8

Correct Answer: B

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Question 6 View Details
A random sample of 25 students from a university had a mean height of 175.5 cm with a standard deviation of 5.2 cm. If the population standard deviation is unknown, calculate the 95% confidence interval for the population mean.
Correct A. 168.3 cm, 182.7 cm
B. 170.5 cm, 180.5 cm
C. 172.5 cm, 178.5 cm
D. 174.5 cm, 176.5 cm

Correct Answer: A

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Question 7 View Details
A particle moves along the x-axis with its position given by the equation x(t) = \((2t^3 - 5t^2 + 3t + 1\)\). Find the velocity and acceleration of the particle at \(t = 2\\((2t^3 - 5t^2 + 3t + 1). Find the velocity and acceleration of the particle at\) seconds.
Correct A. \(v(2) = 14\)\(m/s\),\(a(2) = 26\)\(m/s\^2\)
B. \(v(2) = 16\)\(m/s\),\(a(2) = 24\)\(m/s\^2\)
C. \(v(2) = 18\)\(m/s\),\(a(2) = 22\)\(m/s\^2\)
D. \(v(2) = 20\)\(m/s\),\(a(2) = 20\)\(m/s\^2\)

Correct Answer: A

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Question 8 View Details
Solve the inequality \\((2x^2 + 5x - 3\)\(> 0.\)\)
Correct 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

Correct Answer: A

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Question 9 View Details
A histogram of exam scores is shown below. If the mean score is 75 and the standard deviation is 10, what is the probability that a randomly selected student scored above 85?
Correct A. 0.25
B. 0.30
C. 0.35
D. 0.40

Correct Answer: A

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Question 10 View Details
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the current flowing through the circuit?
A. 1.5 A
Correct B. 2.0 A
C. 2.5 A
D. 3.0 A

Correct Answer: B

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Question 11 View Details
Solve for x in the equation \(\frac{1}{2}x^2 + 5x - 3 = 0\)
A. \(x = -10\)
Correct B. \(x = 6\)
C. \(x = -6\)
D. \(x = 10\)

Correct Answer: B

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Question 12 View Details
A bag contains 5 red balls and 3 blue balls. If a ball is drawn at random, what is the probability that it is blue?
A. \(1/2\)
B. \(1/3\)
Correct C. \(2/5\)
D. \(3/5\)

Correct Answer: C

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Question 13 View Details
Find the determinant of the matrix \(egin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix}\)
Correct A. 1
B. -1
C. 2
D. 3

Correct Answer: A

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Question 14 View Details
Solve the trigonometric equation \(\sin^2 x + \cos^2 x = 1\)
A. \(x = 0\)
Correct B. \(x = 90\)
C. \(x = 180\)
D. \(x = 270\)

Correct Answer: B

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Question 15 View Details
A company produces two products, A and B. The profit on product A is ₦100 and the profit on product B is ₦150. If the company produces 5 units of product A and 3 units of product B, what is the total profit?
A. ₦750
B. ₦800
Correct C. ₦850
D. ₦900

Correct Answer: C

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Question 16 View Details
In a trapezoid ABCD, AB is parallel to DC and \(AB = 8\) cm, \(DC = 6\) cm. If the length of AD is 10 cm, find the length of BC.
Correct A. 10 + 3\sqrt{11}
B. 10 - 3\sqrt{11}
C. 8 + 6
D. 8 - 6

Correct Answer: A

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Question 17 View Details
A circle with center O passes through points A and B. If \(OA = 5\) cm and \(OB = 7\) cm, find the length of AB.
Correct A. 2\sqrt{25 - \(\frac{AB^2}{4}\)\)\)}
B. 2\sqrt{25 + \(\frac{AB^2}{4}\)\)\)}
C. 2\sqrt{25 - \(\frac{AB^2}{2}\)\)\)}
D. 2\sqrt{25 + \(\frac{AB^2}{2}\)\)\)}

Correct Answer: A

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Question 18 View Details
A rectangular box with length 10 cm, width 5 cm, and height 3 cm is packed in a larger box with length 20 cm, width 10 cm, and height 6 cm. What is the volume of the larger box?
Correct A. 1200
B. 1000
C. 1500
D. 1800

Correct Answer: A

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Question 19 View Details
A fair six-sided die is rolled. What is the probability that the number rolled is a multiple of 3?
Correct A. \(\frac{1}{3}\)\)
B. \(\frac{1}{2}\)\)
C. \(\frac{2}{3}\)\)
D. \(\frac{4}{5}\)\)

Correct Answer: A

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Question 20 View Details
Solve the inequality \(\frac{x-2}{x+1}\)\\() > 0.\)
Correct A. \(-1, 2\)
B. \(-1, 0\) \cup \(2, \infty\)
C. (0, 1) \cup \(2, \infty\)
D. \(-1, 0\) \cup (1, 2)

Correct Answer: A

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Question 21 View Details
Solve the quadratic equation \(x^2 + 4x + 4 = 0\) using the quadratic formula. What is the value of ( x )?
A. 0
Correct B. -2
C. 2
D. -4

Correct Answer: B

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Question 22 View Details
A sequence is defined as \(a_n = 2n + 1\). Find the sum of the first 5 terms of the sequence.
A. 15
B. 20
Correct C. 25
D. 30

Correct Answer: C

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Question 23 View Details
A circle has a radius of 4 cm. Find the area of the circle.
Correct A. 50.24
B. 100.48
C. 200.96
D. 50.72

Correct Answer: A

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Question 24 View Details
A right-angled triangle has a hypotenuse of 10 cm and one leg of 6 cm. Find the length of the other leg.
Correct A. 8
B. 6
C. 4
D. 2

Correct Answer: A

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Question 25 View Details
A function is defined as ( f(x) = \(2x^2 + 3x - 1\) ). Find the derivative of the function.
Correct A. 4x + 3
B. 2x + 1
C. 4x - 3
D. 2x - 1

Correct Answer: A

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