POST UTME IGBINEDION UNIVERSITY 2019 Mathematics | Objective

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Question 1 View Details
Let ( X ) be a random variable with probability density function ( f(x) = egin{cases} 2x, & \(0 < x\)\(< 1\)\ 0, & \text{otherwise} \end{cases} ). Find the probability that ( X ) takes a value between 0.2 and 0.8.
Correct A. 0.4
B. 0.6
C. 0.8
D. 1.0

Correct Answer: A

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Question 2 View Details
The mean of a set of 5 numbers is 10. If 4 is added to each number, what is the new mean?
A. 8
Correct B. 10
C. 12
D. 14

Correct Answer: B

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Question 3 View Details
Solve for ( x ) in the equation \(2^x = 16\).
A. 2
Correct B. 3
C. 4
D. 5

Correct Answer: B

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Question 4 View Details
A histogram of exam scores has a mean of 60 and a standard deviation of 10. If the scores are normally distributed, what is the probability that a randomly selected score is between 50 and 70?
Correct A. 0.5
B. 0.6
C. 0.7
D. 0.8

Correct Answer: A

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Question 5 View Details
A circle has a radius of 4 cm. Find the area of the circle.
A. 16\pi
B. 32\pi
Correct C. 64\pi
D. 128\pi

Correct Answer: C

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Question 6 View Details
Find the area under the curve \(y = 2x\^2 + 3x - 4\) from \(x = 0\) to \(x = 2\).
Correct A. 10
B. 12
C. 14
D. 16

Correct Answer: A

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Question 7 View Details
A solid cylinder has a radius of 4 cm and a height of 10 cm. Find its volume.
A. 800\pi
Correct B. 1000\pi
C. 1200\pi
D. 1600\pi

Correct Answer: B

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Question 8 View Details
Simplify the expression \(\frac{2x^2 + 3x - 4}{x + 2}\)\)\)
Correct A. 2x - 1
B. 2x + 1
C. x + 2
D. x - 2

Correct Answer: A

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Question 9 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. \(\frac{1}{4}\)\)
B. \(\frac{1}{2}\)\)
Correct C. \(\frac{3}{8}\)\)
D. \(\frac{3}{4}\)\)

Correct Answer: C

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Question 10 View Details
Find the surface area of a sphere with radius 6 cm.
Correct A. 288\pi
B. 288\pi + 36\pi
C. 288\pi - 36\pi
D. 288\pi + 72\pi

Correct Answer: A

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Question 11 View Details
A solid right circular cone has a height of 8 cm and a base radius of 4 cm. Find the volume of the cone in cubic centimeters.
A. 256\pi
B. 512\pi
Correct C. 768\pi
D. 1024\pi

Correct Answer: C

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Question 12 View Details
A die is rolled twice. What is the probability that the sum of the two numbers shown on the dice is 7?
Correct A. \(\frac{1}{6}\)\)
B. \(\frac{1}{12}\)\)
C. \(\frac{1}{36}\)\)
D. \(\frac{1}{24}\)\)

Correct Answer: A

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Question 13 View Details
Solve for x in the equation \(\frac{x}{2}\)\) + \(3 = 7\).
A. 4
Correct B. 6
C. 8
D. 10

Correct Answer: B

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Question 14 View Details
Find the area under the curve \(y = x\^2\) from \(x = 0\) to \(x = 4\).
A. 32
B. 64
Correct C. 96
D. 128

Correct Answer: C

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Question 15 View Details
A bakery sells 250 loaves of bread per day. If they make a profit of ₦5 per loaf, how much profit do they make in a day?
Correct A. ₦1250
B. ₦12500
C. ₦125000
D. ₦1250000

Correct Answer: A

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