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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.
| 8101. |
At which root does the graph of f(x) = (x + 4)6(x + 7)5 cross the x axis? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">At which root does the graph of f(x) = (x + 4)<sup>6</sup>(x + 7)<sup>5</sup>cross the x axis?</strong><p><strong>Solution:</strong></p> | |
| 8102. |
What is the correlation coefficient with the following data points: (3, 9), (7, 10), (4, 1)? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the correlation coefficient with the following data points: (3, 9), (7, 10), (4, 1)?</strong><p><strong>Solution:</strong></p> | |
| 8103. |
Solve for the general value of θ: tan (θ) tan (120º -θ) tan (120º + θ) = 1/√3. |
| Answer» <strong> The value of (θ) in tan (θ) tan (120º -θ) tan (120º +θ) is nπ/3 +π /18, n∈Z</strong><p>For angles greater than 90 degrees we define the tangent ofθ by tan θ.</p> | |
| 8104. |
Find (a) the slope of the curve at the given point (P) and (b) an equation of the tangent line at P. y = 5 - 6x2; P(2, 19) |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Find (a) the slope of the curve at the given point (P), and (b) an equation of the tangent line at P. y= 5 - 6x²; P (2, 19)</strong><p><strong>Solution:</strong></p> | |
| 8105. |
What is the remainder when (x3 - 4x2 - 12x + 9) is divided by (x + 2)? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the remainder when (x<sup>3</sup> - 4x<sup>2</sup> - 12x + 9) is divided by (x + 2)?</strong><p><strong>Solution:</strong></p> | |
| 8106. |
What is 11/2as a Mixed Number? |
| Answer» <strong> 11/2as a mixed number can be written as 51/2</strong><p>We can see that 11/2is an improper <a href="https://www.cuemath.com/numbers/fractions/">fraction</a> which can be written as a mixed number consisting of a whole and fractional part.</p> | |
| 8107. |
What is 5 to the 3rd power? |
| Answer» <strong> The value of 5 raised to power of 3 is 5<sup>3</sup>= 125</strong><p>5 to the 3rd power can be re-written mathematically as 5<sup>3</sup>.</p> | |
| 8108. |
Using the given zero, find all other zeros of f(x). -2i is a zero of f(x) = x4 - 45x2 - 196 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Using the given zero, find all other zeros of f(x). - 2i is a zero of f(x) = x<sup>4</sup>- 45x<sup>2</sup>- 196</strong><p><strong>Solution:</strong></p> | |
| 8109. |
Write an equation, in standard form, of a parabola that models the values in the table? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Write an equation, in standard form, of a parabola that models the values in the table?</strong><p><strong>Solution:</strong></p> | |
| 8110. |
The dimensions of a cuboid are in the ratio 5 : 2 : 1. It's volume is 1250m3. Find the total surface area. |
| Answer» <strong> The dimensions of a cuboid are in the ratio 5: 2:1. Its volume is 1250m<sup>3</sup>. The totalsurface area of the cuboid is 850 m<sup>2</sup>.</strong><p>A <a href="https://www.cuemath.com/measurement/cuboid/">cuboid</a> is a three-dimensional analog of a rectangle in two dimensions.</p> | |
| 8111. |
How to integrate a constant expression: ∫3 dx? |
| Answer» <strong> The integral of the given constant expression∫3 dx is equal to3x + C, where C is anarbitrary constant.</strong><p><a href="https://www.cuemath.com/calculus/integral/">Integration</a>is one of the most important concepts in calculus. It is the reverse of differentiation. It has many applications in various fields.</p> | |
| 8112. |
A pyramid has a square base with sides 8" and a slant height of 5". total area = |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">A pyramid has a square base with sides 8" and a slant height of 5". total area =</strong><p><strong>Solution:</strong></p> | |
| 8113. |
Which ordered pair maximizes the objective function P = 3x + 8y? (0, 0); (2, 7); (5, 6); (8, 1) |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Which ordered pair maximizes the objective function P = 3x + 8y?<br/> (0, 0); (2, 7); (5, 6); (8, 1)</strong><p><strong>Solution:</strong></p> | |
| 8114. |
Find the area of a circle with a diameter of 20 inches. Use 3.14 for pi. |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Find the area of a circle with a diameter of 20 inches. Use 3.14 for pi.</strong><p><strong>Solution:</strong></p> | |
| 8115. |
What does rotation mean in geometry? |
| Answer» <strong> Rotation in geometryis a motion of a figure along with one fixed point.</strong><p>Rotation helps us to align the figures in the direction along with a fixed point.</p> | |
| 8116. |
Convert 0.36into a fraction. |
| Answer» <strong> 0.36 can be expressed as 9/25 in the form of a fraction.</strong><p>A <a href="https://www.cuemath.com/numbers/fractions/">fraction</a> is a portionor section of any quantity out of a whole.</p> | |
| 8117. |
Find the line of symmetry for the parabola whose equation is y = 2x2 - 4x + 1. |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Find the line of symmetry for the parabola whose equation is y = 2x<sup>2</sup>- 4x + 1.</strong><p><strong>Solution:</strong></p> | |
| 8118. |
Which is the only solution to the equation log3(x2 + 6x) = log3(2x + 12)? x = -6, x = -2, x = 0, x = 2, x = 6 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Which is the only solution to the equation log<sub>3</sub>(x<sup>2</sup>+ 6x) = log<sub>3</sub>(2x + 12)?</strong><p><strong>Solution:</strong></p> | |
| 8119. |
What is the slope of the line that has the equation 4x + 2y = 12? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the slope of the line that has the equation 4x + 2y = 12?</strong><p><strong>Solution:</strong></p> | |
| 8120. |
How to Convert 0.8 Into Fraction? |
| Answer» <strong> 0.8 as a fraction is expressed as 4/5</strong><p>To convert 0.8into a fraction, we need to count the number of digits after the decimal point and then we can express it in the form of a fraction.</p> | |
| 8121. |
Find a vector of magnitude 3 in the direction ofv = (4i - 3k). |
| Answer» <strong> The vector of magnitude 3 in the direction ofv = (4i - 3k) is 12i/5- 9k/5.</strong><p><a href="https://www.cuemath.com/geometry/vectors/">Vectors</a> are very important concepts of mathematics that have many applications, which include calculating trajectories of rockets and making free body diagrams of various objects.</p> | |
| 8122. |
What is 12/8 as a mixed number? |
| Answer» <strong>12/8as a mixed number is 14/8 or 1 1/2</strong><p>An<a href="https://www.cuemath.com/numbers/improper-fractions/">improper fraction</a>is a typeof fractionwhere the numerator is greater thanthe denominator.</p> | |
| 8123. |
Angle B measures 60°. What is the measure of the angle that is complementary to angle B? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Angle B measures 60°. What is the measure of the angle that is complementary to angle B?</strong><p><strong>Solution:</strong></p> | |
| 8124. |
Can you draw a quadrilateral with no parallel lines and at least one right angle? True or false? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Can you draw a quadrilateral with no parallel lines and at least one right angle? True or false?</strong><p><strong>Solution:</strong></p> | |
| 8125. |
What is the radius of a circle with the equation x2 + y2 - 14x + 10y = 250? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the radius of a circle with the equation x<sup>2</sup>+ y<sup>2</sup>- 14x + 10y = 250?</strong><p><strong>Solution:</strong></p> | |
| 8126. |
2x3 + 3x - 3 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Choose the correct sum of the polynomials (4x<sup>3</sup>- 2x - 9) + (2x<sup>3</sup>+ 5x + 3).</strong><p><strong>Solution:</strong></p> | |
| 8127. |
6x3 + 3x - 6 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Choose the correct sum of the polynomials (4x<sup>3</sup>- 2x - 9) + (2x<sup>3</sup>+ 5x + 3).</strong><p><strong>Solution:</strong></p> | |
| 8128. |
2x3 - 7x - 12 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Choose the correct sum of the polynomials (4x<sup>3</sup>- 2x - 9) + (2x<sup>3</sup>+ 5x + 3).</strong><p><strong>Solution:</strong></p> | |
| 8129. |
6x3 - 3x - 6 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Choose the correct sum of the polynomials (4x<sup>3</sup>- 2x - 9) + (2x<sup>3</sup>+ 5x + 3).</strong><p><strong>Solution:</strong></p> | |
| 8130. |
Choose the correct sum of the polynomials(4x3 - 2x - 9) + (2x3 + 5x + 3). |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Choose the correct sum of the polynomials (4x<sup>3</sup>- 2x - 9) + (2x<sup>3</sup>+ 5x + 3).</strong><p><strong>Solution:</strong></p> | |
| 8131. |
What is the arc length when θ = pi over 3 and the radius is 5 cm? |
| Answer» <strong> 5.23 cmis the arc length when θ = pi over 3 and the radius is 5 cm.</strong><p>The <a href="https://www.cuemath.com/geometry/arc-length/">length of an arc</a> of a circle is the circumferential length of the curve called an arc.</p> | |
| 8132. |
Find an equation in standard form for the hyperbola with vertices at (0, ±2) and foci at (0, ±7)? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Find an equation in standard form for the hyperbola with vertices at (0, ±2) and foci at (0, ±7)?</strong><p><strong>Solution:</strong></p> | |
| 8133. |
What is the sum of the arithmetic sequence 3, 9, 15..., if there are 24 terms? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the sum of the arithmetic sequence 3, 9, 15..., if there are 24 terms?</strong><p><strong>Solution:</strong></p> | |
| 8134. |
Give three pairs of prime numbers whose difference is 2 |
| Answer» <strong> Three pairs of prime numbers whose difference is 2 are (5, 7), (11, 13) and (17, 19).</strong><p><a href="https://www.cuemath.com/numbers/prime-numbers/"><span style="color:#2980b9;"><u>Prime Numbers</u></span></a> are the numbers with two factors, 1 and the number itself.</p> | |
| 8135. |
If the volume of a sample of water is 2.5 millilitres (ml). What is the volume of this sample in litres (l)? |
| Answer» <strong> If the volume of a sample of water is 2.5 millilitres (ml) then the volume of thesample in litres (l) is 0.0025 l.</strong><p>Millilitres (ml) and Litre (l)are used to <a href="https://www.cuemath.com/measurement/measuring-capacity/">measure capacity</a>.</p> | |
| 8136. |
Wendy’s pay is $423.00. 19% of that is subtracted for taxes. How much is left after paying taxes? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Wendy’s pay is $423.00. 19% of that is subtracted for taxes. How much is left after paying taxes?</strong><p><strong>Solution:</strong></p> | |
| 8137. |
Which statement is true about the sum square root of 50 square root of 18? It is rational and equal to 2. It is rational and equal to 8. It is irrational and equal to 2 square root of 2. It is irrational and equal to 8 square root of 2. |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Which statement is true about the sum square root of 50 square root of 18?</strong><p><strong>Solution:</strong></p> | |
| 8138. |
What is 1/2 to the power of 4? |
| Answer» <strong>1/2 to the power of 4 is (1/2)<sup>4</sup>= 1/16.</strong><p><a href="https://www.cuemath.com/algebra/exponents/">Exponents</a> are very important concepts in mathematics that make our calculations easier and can be useful to represent large numbers in compact form.</p> | |
| 8139. |
What does a scalene triangle look like? |
| Answer» <strong> Inscalene triangles none of the sides are equal, and all the sides are of different lengths.</strong><p>The <a href="https://www.cuemath.com/geometry/triangles/">triangle</a> is a<a href="https://www.cuemath.com/geometry/area-of-polygons/">polygon</a>with three vertices and three edges.</p> | |
| 8140. |
How much does an ounce of water weigh in grams? |
| Answer» <strong> An ounce of water weighs 28.3495 grams.</strong><p><strong>Ounce(oz)</strong> and <strong>Grams(g)</strong> are different measuring units used to measure the weight and mass of different objects.</p> | |
| 8141. |
Which of the following is a polynomial with roots: -square root of 3, square root of 3, and 2? x3 - 2x2 - 3x + 6 x3- 3x2- 5x + 15 x3+ 2x2- 3x - 6 x3+ 3x2- 5x - 15 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Which of the following is a polynomial with roots: -square root of 3, square root of 3, and 2?</strong><p><strong>Solution:</strong></p> | |
| 8142. |
What is10 of 30000? |
| Answer» <strong> 10 of 30000is 300,000.</strong><p><a href="https://www.cuemath.com/numbers/multiplication/">Multiplication</a>isalso known as repeated addition andisone of the four basic operations of arithmetic. 'Of' is commonly used in word problems and simply means multiplication.</p> | |
| 8143. |
What is 13/2 as a mixed number? |
| Answer» <strong>13/2 as a mixed number is6 1/2</strong><p>An<a href="https://www.cuemath.com/numbers/improper-fractions/">improper fraction</a>is a typeof fractionwhere the numerator is greater than or equal to the denominator.</p> | |
| 8144. |
If angle A has a measurement of 42° and is complementary to angle B, what's the measure of angle B? 138°, 48°, 38°, 42° |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">If angle A has a measurement of 42° and is complementary to angle B, what's the measure of angle B?<br/> 138°, 48°, 38°, 42°</strong><p><strong>Solution:</strong></p> | |
| 8145. |
Solve for x: −3(x + 3) = −3(x + 1) − 5. solution or no solution. |
| Answer» <strong> There is no solution for the given equation.</strong><p>We will use the concept of linear equations in order to find the value of x.</p> | |
| 8146. |
Find the correct sum of the polynomials (3x3− 5x − 8) + (5x3+ 7x + 3) |
| Answer» <strong> The sum of the polynomials(3x<sup>3</sup>− 5x − 8) and (5x<sup>3</sup>+ 7x + 3) is 8x<sup>3</sup>+ 2x − 5.</strong><p>The algebraic expressions having variables and coefficients are called <a href="https://www.cuemath.com/algebra/polynomials/">polynomials</a>.</p> | |
| 8147. |
For triangle ABC with sides a, b, and c the law of cosines states the following. |
| Answer» <strong> The law of cosine states that when all three sides of a triangle are given, we can easily find all the possible angles of the triangle.</strong><p>The law of cosine helps in finding the unknown measures of a <a href="https://www.cuemath.com/geometry/triangles/">triangle</a>.</p> | |
| 8148. |
Find all polar coordinates of point p where p = ordered pair 3 comma negative pi divided by 3. |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Find all polar coordinates of point p where p = ordered pair 3 comma negative pi divided by 3.</strong><p><strong>Solution:</strong></p> | |
| 8149. |
Identify the vertex for the graph of y = -2x2 -12x (-3, 18), (-3, 55), (3, -53), (3, -47) |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Identify the vertex for the graph of y = -2x<sup>2</sup> -12x<br/> (-3, 18), (-3, 55), (3, -53), (3, -47)</strong><p><strong>Solution:</strong></p> | |
| 8150. |
Simplify (4 + 7i)(3 + 4i)? |
| Answer» <strong>We can write the simplified form of (4+ 7i) (3+ 4i)as (-16+37i).</strong><p>We will use the concept of multiplication of<a href="https://www.cuemath.com/numbers/complex-numbers/">complex numbers</a>.</p> | |