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POST UTME IGBINEDION UNIVERSITY 2018 Mathematics | Objective

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Question 1 View Details

Given the matrix A = egin{bmatrix} 2 & 1 \ 3 & 2 \end{bmatrix}, find the determinant of A.

A. 1

B. 2

Correct C. 3

D. 4

Correct Answer: C

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Question 2 View Details

A binary operation * on the set of real numbers is defined as follows: a \* \(b = a\\(* on the set of real numbers is defined as follows: a * \^2 + b^2). Find the value of \(2 \* 3\\(). Find the value of (2\) \* 4.

A. 20

Correct B. 25

C. 30

D. 35

Correct Answer: B

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Question 3 View Details

Solve the quadratic equation \\((x^2 + 5x + 6\)\(= 0.\)\)

Correct A. -2

B. -3

C. -4

D. -5

Correct Answer: A

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Question 4 View Details

A number is chosen at random from the set {1, 2, 3, 4, 5, 6}. What is the probability that the number chosen is even?

Correct A. \(1/2\)

B. \(2/3\)

C. \(3/4\)

D. \(4/5\)

Correct Answer: A

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Question 5 View Details

\(A matrix A =\)egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} is multiplied by a scalar k. Find the value of k such that the product is a scalar matrix.

A. 2

B. 3

Correct C. 4

D. 5

Correct Answer: C

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Question 6 View Details

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 \(cm^3\)

Correct B. 48\pi \(cm^3\)

C. 96\pi \(cm^3\)

D. 192\pi \(cm^3\)

Correct Answer: B

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Question 7 View Details

Solve the equation \(x^3 + 2x^2 - 7x + 12 = 0\) using the factor theorem.

Correct A. \(x = 1\)

B. \(x = -1\)

C. \(x = 3\)

D. \(x = -3\)

Correct Answer: A

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Question 8 View Details

In the triangle ABC, angle (A = 30\)°, angle \(B = 60\\((A = 30)°, angle\)°, and side \(AB = 6\) cm. Find the length of side AC.

A. 4\sqrt{3} cm

Correct B. 6\sqrt{3} cm

C. 8\sqrt{3} cm

D. 12\sqrt{3} cm

Correct Answer: B

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Question 9 View Details

Find the equation of the circle with center (2, 3) and radius 4.

Correct A. \(x - 2\)^2 + \(y - 3\)^\(2 = 16\)

B. \(x - 2\)^2 + \(y - 3\)^\(2 = 32\)

C. \(x - 2\)^2 + \(y - 3\)^\(2 = 64\)

D. \(x - 2\)^2 + \(y - 3\)^\(2 = 256\)

Correct Answer: A

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Question 10 View Details

Find the derivative of the function f(x) = \(3x^2 + 2x - 5\).

Correct A. 6x + 2

B. 6x - 2

C. 12x + 2

D. 12x - 2

Correct Answer: A

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Question 11 View Details

Solve for x in the equation \(\log_{10} x^2 \\)\(= 4 ).\)

A. 10

B. 100

C. 1000

Correct D. 10000

Correct Answer: D

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Question 12 View Details

A set A contains 5 elements. If B is a subset of A, what is the maximum number of elements in B?

A. 3

B. 4

Correct C. 5

D. 6

Correct Answer: C

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Question 13 View Details

Find the sum of the first 10 terms of the geometric series ( 2, 6, 18, ... ).

A. 1230

B. 1240

Correct C. 1250

D. 1260

Correct Answer: C

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Question 14 View Details

In the diagram below, what is the value of x?

A. 3

B. 4

C. 5

Correct D. 6

Correct Answer: D

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Question 15 View Details

Solve the inequality \(2x^2 + 5x - 3 > 0\).

A. \(-∞, -1\) ∪ (3, ∞)

B. \(-∞, 1\) ∪ (3, ∞)

Correct C. \(-∞, -1\) ∪ (1, ∞)

D. \(-∞, 3\) ∪ (1, ∞)

Correct Answer: C

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Question 16 View Details

A histogram is a graphical representation of the distribution of a continuous random variable. What is the main advantage of using a histogram over a bar chart?

Correct A. It allows for the visualization of the shape of the distribution

B. It is easier to read than a bar chart

C. It is more accurate than a bar chart

D. It is more versatile than a bar chart

Correct Answer: A

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Question 17 View Details

Given the matrix A = egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix}, find the determinant of A.

Correct A. 1

B. 2

C. 3

D. 4

Correct Answer: A

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Question 18 View Details

In the diagram below, what is the equation of the circle with center (2, 3) and radius 4?

Correct A. \(x - 2\)^2 + \(y - 3\)^\(2 = 16\)

B. \(x - 2\)^2 + \(y - 3\)^\(2 = 32\)

C. \(x - 2\)^2 + \(y - 3\)^\(2 = 64\)

D. \(x - 2\)^2 + \(y - 3\)^\(2 = 128\)

Correct Answer: A

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Question 19 View Details

Given the vectors u = egin{bmatrix} 1 \ 2 \end{bmatrix} and v = egin{bmatrix} 3 \ 4 \end{bmatrix}, find the dot product of u and v.

Correct A. 11

B. 13

C. 15

D. 17

Correct Answer: A

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Question 20 View Details

A random experiment consists of rolling a fair six-sided die. What is the probability that the number rolled is greater than 4?

A. \(1/6\)

B. \(1/3\)

C. \(1/2\)

Correct D. \(2/3\)

Correct Answer: D

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Question 21 View Details

Find the equation of the circle with centre at ((2,3)) and radius 4.

Correct A. \(x-2 \\)^2 + \(y-3\)^\(2 = 16\) )

B. \(x-3 \\)^2 + \(y-2\)^\(2 = 16\) )

C. \(x-4 \\)^2 + \(y-2\)^\(2 = 16\) )

D. \(x-2 \\)^2 + \(y-4\)^\(2 = 16\) )

Correct Answer: A

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Question 22 View Details

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.

Correct A. \(2 + 7 + 17 + 37 + 79\)

B. \(2 + 5 + 13 + 29 + 61\)

C. \(2 + 4 + 12 + 28 + 60\)

D. \(2 + 6 + 14 + 30 + 62\)

Correct Answer: A

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Question 23 View Details

The mean of 5 numbers is 12. If one of the numbers is 25, find the sum of the other 4 numbers.

Correct A. ( 48 )

B. ( 52 )

C. ( 56 )

D. ( 60 )

Correct Answer: A

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Question 24 View Details

Find the area under the curve \(y = x^2 + 2x - 3\) from \(x = 0\) to \(x = 3\).

Correct A. ( 36 )

B. ( 48 )

C. ( 60 )

D. ( 72 )

Correct Answer: A

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Question 25 View Details

Solve the inequality \(|x - 2| > 3\).

Correct A. \(x < -1\) or \(x > 5\)

B. \(x < 1\) or \(x > 5\)

C. \(x < -1\) or \(x > 4\)

D. \(x < 1\) or \(x > 4\)

Correct Answer: A

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