POST UTME CHRISTOPHER UNIVERSITY 2017 Mathematics | Objective

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Question 1 View Details
A random variable X has a probability distribution given by P(X) = \(\frac{1}{2} \left 1 + \frac{1}{x} right \\)) for \\(right \(x > 0\). Find the expected value of X.
A. \(\frac{1}{2}\)
Correct B. \(\frac{3}{2}\)
C. \(\frac{5}{2}\)
D. \(\frac{7}{2}\)

Correct Answer: B

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Question 2 View Details
Solve the equation \(\log_{2} x^2 - 4 \\) = 3) for x.
Correct A. \(\sqrt{10}\)
B. \(-\sqrt{10}\)
C. \(\sqrt{14}\)
D. \(-\sqrt{14}\)

Correct Answer: A

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Question 3 View Details
Find the volume of the solid formed by rotating the region bounded by \(y = x\^2\), \(y = 0\), and \(x = 2\) about the x-axis.
Correct A. \(\frac{32\pi}{3}\)
B. \(\frac{64\pi}{3}\)
C. \(\frac{128\pi}{3}\)
D. \(\frac{256\pi}{3}\)

Correct Answer: A

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Question 4 View Details
A vector (vec{a}) has components \(a_x = 3\) and \(a_y = 4\). Find the magnitude of (vec{a}).
A. \(\sqrt{5}\)
B. \(\sqrt{13}\)
Correct C. \(\sqrt{25}\)
D. \(\sqrt{37}\)

Correct Answer: C

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Question 5 View Details
A quadratic equation has roots \(x = 2\) and \(x = 3\). Find the equation of the axis of symmetry.
Correct A. \(x = 2.5\)
B. \(x = 2.2\)
C. \(x = 2.8\)
D. \(x = 3.2\)

Correct Answer: A

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Question 6 View Details
Find the area under the curve \(y = \frac{1}{2}x^2\) from \(x = 0\) to \(x = 4\).
Correct A. 16
B. 32
C. 64
D. 128

Correct Answer: A

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Question 7 View Details
Solve for ( x ) in the equation \(\sin^2 x + \cos^2 x = 1\).
Correct A. \(x =\)\(\frac{\pi}{4}\)\)
B. \(x =\)\(\frac{\pi}{2}\)\)
C. \(x =\)\(\frac{3\pi}{4}\)\)
D. \(x =\)\(\frac{5\pi}{4}\)\)

Correct Answer: A

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Question 8 View Details
A histogram of exam scores has a mean of 60 and a standard deviation of 10. What is the probability that a randomly selected score is between 50 and 70?
A. 0.5
Correct B. 0.6
C. 0.7
D. 0.8

Correct Answer: B

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Question 9 View Details
Find the derivative of the function ( f(x) = \(\frac{1}{x^2}\)\)\) ) using the chain rule.
Correct A. -\(\frac{2}{x^3}\)\)\)
B. \(\frac{2}{x^3}\)\)\)
C. -\(\frac{1}{x^3}\)\)\)
D. \(\frac{1}{x^3}\)\)\)

Correct Answer: A

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Question 10 View Details
A circle has a radius of 4 cm. What is the area of the circle?
Correct A. 16π
B. 32π
C. 64π
D. 128π

Correct Answer: A

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Question 11 View Details
Solve the quadratic equation \(x^2 + 5x + 6 = 0\) using the quadratic formula. What is the value of ( x )?
A. 2
Correct B. -3
C. -2
D. 1

Correct Answer: B

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Question 12 View Details
A right-angled triangle has a hypotenuse of length 10 cm and one of the other sides is 6 cm. Find the length of the third side.
Correct A. 8
B. 4
C. 12
D. 16

Correct Answer: A

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Question 13 View Details
A sequence is defined as \(a_n = 2n + 1\). Find the 5th term of the sequence.
A. 11
B. 13
Correct C. 15
D. 17

Correct Answer: C

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Question 14 View Details
A circle has a radius of 4 cm. Find the area of the circle.
Correct A. 50.24
B. 25.12
C. 12.56
D. 6.28

Correct Answer: A

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Question 15 View Details
A right-angled triangle has a hypotenuse of length 10 cm and one of the other sides is 6 cm. Find the length of the third side using the Pythagorean theorem.
Correct A. 8
B. 4
C. 12
D. 16

Correct Answer: A

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Question 16 View Details
A sequence is defined as \(a_n = 2n + 1\). Find the 10th term of the sequence.
A. 21
B. 23
Correct C. 25
D. 27

Correct Answer: C

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Question 17 View Details
A circle has a radius of 4 cm. Find the circumference of the circle.
Correct A. 25.12
B. 12.56
C. 50.24
D. 6.28

Correct Answer: A

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Question 18 View Details
A right-angled triangle has a hypotenuse of length 10 cm and one of the other sides is 6 cm. Find the length of the third side using the Pythagorean theorem.
Correct A. 8
B. 4
C. 12
D. 16

Correct Answer: A

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Question 19 View Details
A sequence is defined as \(a_n = 2n + 1\). Find the 15th term of the sequence.
A. 31
B. 33
C. 35
D. 37

Correct Answer: VIEW ANSWER

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