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InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your General Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 51. |
Enter the number of complex zeros for the polynomial function in the box. f(x) = x4 + 5x2 + 6 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Enter the number of complex zeros for the polynomial function in the box. f(x) = x<sup>4 </sup>+ 5x<sup>2 </sup>+ 6</strong><p><strong>Solution:</strong></p> | |
| 52. |
Write the equation in spherical coordinates. x2 + y2 + z2 = 16. |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Write the equation in spherical coordinates. x<sup>2</sup> + y<sup>2</sup> + z<sup>2 </sup>= 16.</strong><p><strong>Solution:</strong></p> | |
| 53. |
A cylinder has a height that is 2 times as large as its radius. The lateral area of the cylinder is 16π square units. What is the length of the radius of the cylinder? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">A cylinder has a height that is 2 times as large as its radius. The lateral area of the cylinder is 16π square units. What is the length of the radius of the cylinder?</strong><p><strong>Solution:</strong></p> | |
| 54. |
Simplify the sum. (4u3 + 4u2 + 2) + (6u3 - 2u + 8) |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Simplify the sum. (4u<sup>3</sup> + 4u<sup>2</sup> + 2) + (6u<sup>3</sup> - 2u + 8)</strong><p><strong>Solution:</strong></p> | |
| 55. |
Simplify the difference. (4w2 - 4w - 8) - (2w2 + 3w - 6) |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Simplify the difference. (4w<sup>2</sup> - 4w - 8) - (2w<sup>2</sup> + 3w - 6)</strong><p><strong>Solution:</strong></p> | |
| 56. |
Find the solutions for a triangle with a = 11.4, b = 13.7, and c = 12.2 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Find the solutions for a triangle with a = 11.4, b = 13.7, and c = 12.2</strong><p><strong>Solution:</strong></p> | |
| 57. |
Solve 250 ÷ 5 ÷ 10 making sure to divide in the proper order. |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Solve 250 ÷ 5 ÷ 10 making sure to divide in the proper order.</strong><p><strong>Solution:</strong></p> | |
| 58. |
AB is tangent to circle O if AO = 30 and bc = 48. What is AB |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">AB is tangent to circle O if AO = 30 and bc = 48. What is AB</strong><p><strong>Solution:</strong></p> | |
| 59. |
Solve: -(3x - 4) = -4(x + 1) - 2. |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Solve: -(3x - 4) = -4(x + 1) - 2.</strong><p><strong>Solution:</strong></p> | |
| 60. |
If 6 times a certain number is added to 8, the result is 32. Which of the following equations could be used to solve the problem? 6x = 32 6(x + 8) = 32 6x = 8 + 32 6x + 8 = 32 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">If 6 times a certain number is added to 8, the result is 32. Which of the following equations could be used to solve the problem?</strong><p><strong>Solution:</strong></p> | |
| 61. |
Find the distance between points m(6, 16) and z(-1, 14) to the nearest tenth? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Find the distance between points m(6, 16) and z(-1, 14) to the nearest tenth?</strong><p><strong>Solution:</strong></p> | |
| 62. |
Find the general solution of the given differential equation. x2y' + xy = 9 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Find the general solution of the given differential equation. x<sup>2</sup>y' + xy = 9</strong><p><strong>Solution:</strong></p> | |
| 63. |
If (-2, y) lies on the graph of y = 4x, then y = |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">If (-2, y) lies on the graph of y = 4x, then y =</strong><p><strong>Solution:</strong></p> | |
| 64. |
x - y = 0 and 6x + 5y = -22, the lines intersect at |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">x - y = 0 and 6x + 5y = -22, the lines intersect at</strong><p><strong>Solution:</strong></p> | |
| 65. |
If ∠A and ∠B are supplementary and m∠A = 37°45', then m∠B = ______. 142°55', 52°15’. 52°55’, 142°15' |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">If ∠A and ∠B are supplementary and m∠A = 37°45', then m∠B = ______.</strong><p><strong>Solution:</strong></p> | |
| 66. |
Find the median of the following data set. 1 1/4, 5/8, 3/5, 1/2, 1 1/2, 1 3/4 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Find the median of the following data set. 1 1/4, 5/8, 3/5, 1/2, 1 1/2, 1 3/4</strong><p><strong>Solution:</strong></p> | |
| 67. |
What are the real zeroes of x3 + 6x2 - 9x - 54? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What are the real zeroes of x<sup>3</sup> + 6x<sup>2</sup> - 9x - 54?</strong><p><strong>Solution:</strong></p> | |
| 68. |
How many solutions does a triangle with side lengths a = 4, A = 680 and b = 10 have? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">How many solutions does a triangle with side lengths a = 4, A = 68<sup>0</sup> and b = 10 have?</strong><p><strong>Solution:</strong></p> | |
| 69. |
Find the range of the given data set. -4, -3, -1, -1, 0, 1. |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Find the range of the given data set. -4, -3, -1, -1, 0, 1.</strong><p><strong>Solution:</strong></p> | |
| 70. |
How many 2 digit positive integers are there such that their product is 24? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">How many 2 digit positive integers are there such that their product is 24?</strong><p><strong>Solution:</strong></p> | |
| 71. |
Find the potential solution to the equation log4(2 - x) = log4(-5x - 18). |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Find the potential solution to the equation log<sub>4</sub>(2 - x) = log<sub>4</sub>(-5x - 18).</strong><p><strong>Solution:</strong></p> | |
| 72. |
What is the distance between (-13, 9) and (11, 2) on a coordinate grid? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the distance between (-13, 9) and (11, 2) on a coordinate grid?</strong><p><strong>Solution:</strong></p> | |
| 73. |
Find the volume of the figure. The diameter of the base is 4 cm. The figure is a cylinder that has d = 4 cm and h = 2.5 with a hemisphere on the top that has the same diameter as the cylinder (4 cm). |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Find the volume of the figure. The diameter of the base is 4 cm. The figure is a cylinder that has d = 4 cm and h = 2.5 with a hemisphere on the top that has the same diameter as the cylinder (4 cm).</strong><p><strong>Solution:</strong></p> | |
| 74. |
AC is tangent to circle O at A. The diagram is not drawn to scale. If mBY = 34 degrees, what is < YAC? 68 degrees, 51 degrees, 73 degrees, 56 degrees |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">AC is tangent to circle O at A. The diagram is not drawn to scale. If mBY = 34 degrees, what is < YAC?</strong><p><strong>Solution:</strong></p> | |
| 75. |
Which statement best describes how to determine whether f(x) = x4- x3is an even function? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Which statement best describes how to determine whether f(x) = x<sup>4</sup>- x<sup>3</sup>is an even function?</strong><p><strong>Solution:</strong></p> | |
| 76. |
Use the zero product property to find the solutions to the equation (x + 2) (x + 3) = 12. |
| Answer» <strong> The solutions to the equation (x + 2) (x + 3) = 12 are x = 1 and x = -6.</strong><p><a href="https://www.cuemath.com/algebra/quadratic-equations/">Quadratic equations</a> are the equations that can have at most two roots. Their degree is equal to two. Let's solve a problem related to it.</p> | |
| 77. |
Use the zero product property to find the solutions to the equation x2 - 9 = 16. |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Use the zero product property to find the solutions to the equation x<sup>2</sup>- 9 = 16.</strong><p><strong>Solution:</strong></p> | |
| 78. |
Graph the relation. Find the domain and range. {(-1, 1/2),(-1/2, -1),(3/2, 0),(2, 3/2)} |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Graph the relation. Find the domain and range. {(-1, 1/2),(-1/2, -1),(3/2, 0),(2, 3/2)}</strong><p><strong>Solution:</strong></p> | |
| 79. |
Use the zero product property to find the solutions to the equation x2 - x - 6 = 0. |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Use the zero product property to find the solutions to the equation x<sup>2</sup>- x - 6 = 0.</strong><p><strong>Solution:</strong></p> | |
| 80. |
Triangle ABC has vertices A(0, 6) B(4, 6) C(1, 3). Sketch a graph of ABC and use it to find the orthocenter of ABC. |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Triangle ABC has vertices A(0, 6) B(4, 6) C(1, 3). Sketch a graph of ABC and use it to find the orthocenter of ABC.</strong><p><strong>Solution:</strong></p> | |
| 81. |
Given △QRS ~ △XYZ, what is the value of tan(Q)? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Given △QRS ~ △XYZ, what is the value of tan(Q)?</strong><p><strong>Solution:</strong></p> | |
| 82. |
Which equation is best represented by the graph above? (x + 1)(x - 3)(x + 2) (x - 1)(x + 3)(x + 2) (x - 1)(x - 3)(x + 2) (x + 1)(x + 3)(x - 2) |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Which equation is best represented by the graph above? (x + 1)(x - 3)(x + 2), (x - 1)(x + 3)(x + 2), (x - 1)(x - 3)(x + 2), (x + 1)(x + 3)(x - 2)</strong><p><strong>Solution:</strong></p> | |
| 83. |
What is the value of x from the below figure? 6, 8, 10, 12 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the value of x from the below figure? 6, 8, 10, 12</strong><p><strong>Solution:</strong></p> | |
| 84. |
Given the right triangle XYZ, what is the value of tan(Y)? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Given the right triangle XYZ, what is the value of tan(Y)?</strong><p><strong>Solution:</strong></p> | |
| 85. |
What is the sum of the geometric sequence 3, 12, 48, … if there are 8 terms? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the sum of the geometric sequence 3, 12, 48, … if there are 8 terms?</strong><p><strong>Solution:</strong></p> | |
| 86. |
What is the sum of the interior angles of a hexagon? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the sum of the interior angles of a hexagon?</strong><p><strong>Solution:</strong></p> | |
| 87. |
What is the sum of the interior angles of a pentagon? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the sum of the interior angles of a pentagon?</strong><p><strong>Solution:</strong></p> | |
| 88. |
What is the sum of the measures of the exterior angles of a decagon? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the sum of the measures of the exterior angles of a decagon?</strong><p><strong>Solution:</strong></p> | |
| 89. |
What is the sum of the interior angles of an hexagon? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the sum of the interior angles of an hexagon?</strong><p><strong>Solution:</strong></p> | |
| 90. |
What is the sum of the measures of the interior angles of a heptagon? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the sum of the measures of the interior angles of a heptagon?</strong><p><strong>Solution:</strong></p> | |
| 91. |
What is the sum of the measures of the interior angles of a hexagon? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the sum of the measures of the interior angles of a hexagon?</strong><p><strong>Solution:</strong></p> | |
| 92. |
What is the sum of the measures of the interior angles of a pentagon? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the sum of the measures of the interior angles of a pentagon?</strong><p><strong>Solution:</strong></p> | |
| 93. |
What is the sum of the measures of the interior angles of aregular heptagon? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the sum of the measures of the interior angles of aregular heptagon?</strong><p><strong>Solution:</strong></p> | |
| 94. |
What is the sum of the measures of the interior angles of an octagon? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the sum of the measures of the interior angles of an octagon?</strong><p><strong>Solution:</strong></p> | |
| 95. |
What is the use of order in numerical expressions? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the use of order in numerical expressions?</strong><p><strong>Solution:</strong></p> | |
| 96. |
What is the sum of the multiples of 4 from 16 to 100? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the sum of the multiples of 4 from 16 to 100?</strong><p><strong>Solution:</strong></p> | |
| 97. |
What is the sum of the numbers 6.68 and 0.8? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the sum of the numbers 6.68 and 0.8?</strong><p><strong>Solution:</strong></p> | |
| 98. |
What is the surface area of a right rectangular prism? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the surface area of a right rectangular prism?</strong><p><strong>Solution:</strong></p> | |
| 99. |
What is the value of 3 times 10 to the power of 8? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the value of 3 times 10 to the power of 8?</strong><p><strong>Solution:</strong></p> | |
| 100. |
What is the temperature 32 degrees Fahrenheit in degrees celsius? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the temperature 32 degrees Fahrenheit in degrees celsius?</strong><p><strong>Solution:</strong></p> | |