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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.
| 8151. |
The 2 pentagons above are similar. What is the area of the smaller pentagon? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">The 2 pentagons above are similar. What is the area of the smaller pentagon?</strong><p><img alt="similar pentagons, their sides and areas" src="https://d138zd1ktt9iqe.cloudfront.net/media/seo_landing_files/q48-1634715030.png" style="width: 300px;max-width:100%"/></p> | |
| 8152. |
What is the result of adding the system of equations? 2x + y = 4, 3x - y = 6 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the result of adding the system of equations?</strong><p><strong>Solution:</strong></p> | |
| 8153. |
Solve x2 + 4x − 12. x = 2, x = 6, x = −2, x = −6, x = 3, x = −4, x = −3, x = 4 |
| Answer» <strong> For the equation x<sup>2</sup> + 4x − 12, x = 2, -6</strong><p>The above <a href="https://www.cuemath.com/algebra/quadratic-equations/">quadratic equation</a>is in the form of ax<sup>2</sup>+ bx + c.</p> | |
| 8154. |
Graph the solution to the following inequality on the number line:3(1 – x) < 2 (x + 4). |
| Answer» <strong> The simplified form of the given inequality is x > -1, which is represented on the number line.</strong><p><a href="https://www.cuemath.com/algebra/inequalities/">Inequalities</a> are very important concepts in mathematics. They are used to represent feasible regions on the graph for specific parameters and calculate their range of values.</p> | |
| 8155. |
(d) 15 and 4 |
| Answer» <strong>Observe a common property in the obtained L.C.Ms. Is L.C.M. the product of two numbers in each case?</strong><p>The least common multiple of two or more numbers is the smallest number among all common multiples of the given numbers.</p> | |
| 8156. |
(c) 6 and 5 |
| Answer» <strong>Observe a common property in the obtained L.C.Ms. Is L.C.M. the product of two numbers in each case?</strong><p>The least common multiple of two or more numbers is the smallest number among all common multiples of the given numbers.</p> | |
| 8157. |
(b) 12 and 5 |
| Answer» <strong>Observe a common property in the obtained L.C.Ms. Is L.C.M. the product of two numbers in each case?</strong><p>The least common multiple of two or more numbers is the smallest number among all common multiples of the given numbers.</p> | |
| 8158. |
(a) 9 and 4 |
| Answer» <strong>Observe a common property in the obtained L.C.Ms. Is L.C.M. the product of two numbers in each case?</strong><p>The least common multiple of two or more numbers is the smallest number among all common multiples of the given numbers.</p> | |
| 8159. |
Find the L.C.M of the following numbers: |
| Answer» <strong>Observe a common property in the obtained L.C.Ms. Is L.C.M. the product of two numbers in each case?</strong><p>The least common multiple of two or more numbers is the smallest number among all common multiples of the given numbers.</p> | |
| 8160. |
How do you use part I of the Fundamental Theorem of Calculus to find the derivative of: f(x)=x∫3(((1/3)t2) - 1)7dt? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">How do you use part I of the Fundamental Theorem of Calculus to find the derivative of:f(x)= <sub>x</sub>∫<sup>3</sup>(((1/3)t<sup>2</sup>) - 1)<sup>7</sup>dt?</strong><p><strong>Solution:</strong></p> | |
| 8161. |
If the Leaning Tower of Pisa has a height of 55 meters, the radius of 8 meters, what is the volume? 64π, 440π, 3520π, 28160π |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">If the Leaning Tower of Pisa has a height of 55 meters, radius of 8 meters, what is the volume?<br/> 64π, 440π, 3520π, 28160π</strong><p><strong>Solution:</strong></p> | |
| 8162. |
How to write 3/5 + 2/7 as a fraction? |
| Answer» <strong> 3/5+ 2/7can be represented as 31/35as a fraction after addition.</strong><p><a href="https://www.cuemath.com/numbers/fractions/">Fractions</a> form an integral part of Mathematics. All the fundamental operations that can be performed over integers can be performed over fractions as well.</p> | |
| 8163. |
A triangle has side lengths of 6, 8 and 10. Is it a right triangle explain |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">A triangle has side lengths of 6, 8 and 10. Is it a right triangle explain</strong><p><strong>Solution:</strong></p> | |
| 8164. |
How to write the slope-intercept form of the equation of the line described; (-2, -1) parallel to y = -3/2x - 1? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">How to write the slope-intercept form of the equation of the line described; (-2, -1) parallel to y = -3/2x - 1?</strong><p>Given y= (-3/2)x - 1 and point (-2, -1)</p> | |
| 8165. |
I am a number that tells how many times the base is used as a factor. |
| Answer» <strong> An exponent isa number that tells how many times the base is used as a factor.</strong><p>An <a href="https://www.cuemath.com/algebra/exponents/">exponent</a> is a number written as a power of a number and is equal to the number of times the base number is to multipliedby itself.</p> | |
| 8166. |
Which of the following is not equal to 1 mm? a) 100 cm b) 1/10 cm c) 1/1000 m d) 1/1000000 km |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Which of the following is not equal to 1 mm?</strong><p><strong>Solution:</strong></p> | |
| 8167. |
Express 0.75 as a fraction in simplest form. |
| Answer» <strong> 0.75 can be expressed as 3/4 in the form of a fraction.</strong><p>A <a href="https://www.cuemath.com/numbers/fractions/">fraction</a> is a numerical value that is defined as a part of a whole.</p> | |
| 8168. |
If you triple 4 and subtract 2 each day, how many days until you have zero |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">If you triple 4 and subtract 2 each day, how many days until you have zero</strong><p><strong>Solution:</strong></p> | |
| 8169. |
Find the intervals on which f(x) = x4 − 8x2is increasing and decreasing. |
| Answer» <strong> The function f(x) =x<sup>4</sup> − 8x<sup>2</sup>is increasing in the interval (-2, 0)∪ (2,∞), and decreasing in the interval(−∞, −2) ∪(0, 2).</strong><p>Derivatives have many applications. One of the major applications of derivatives is determining the monotonicity of a given <a href="https://www.cuemath.com/calculus/What-are-functions/">function</a> in a specific interval.</p> | |
| 8170. |
What is the solution to this system of linear equations? Y - x = 6, Y + x = -10 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the solution to this system of linear equations?<br/> Y - x = 6, Y + x = -10</strong><p><strong>Solution:</strong></p> | |
| 8171. |
2x + y = 7 and 5x + y = 9 solve the system of equations. |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">2x + y = 7 and 5x + y = 9 solve the system of equations.</strong><p><strong>Solution:</strong></p> | |
| 8172. |
How is finding the factors of a number different from finding the prime factorization of a number? |
| Answer» <strong> Prime factorization of a number is expressing the number as a product of its prime factors.Further factorizinga number is to write the number asthe product of itsfactors.</strong><p>Finding factors of a number is different from finding the prime factorization.</p> | |
| 8173. |
What is the recursive rule for the sequence? -2.7, -8.3, -13.9, -19.5, -25.1,… |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the recursive rule for the sequence? -2.7, -8.3, -13.9, -19.5, -25.1,…</strong><p><strong>Solution:</strong></p> | |
| 8174. |
Solve for x: |x − 2| + 10 = 12 |
| Answer» <strong> x = 0 and x = 4 are the roots for x: |x − 2| + 10 = 12</strong><p>A <a href="https://www.cuemath.com/calculus/modulus-function/">modulus function</a> gives the magnitude of a<a href="https://www.cuemath.com/numbers/">number</a>irrespective of its sign. It is also called the <a href="https://www.cuemath.com/algebra/absolute-value/">absolute value</a> function.</p> | |
| 8175. |
Let f(x) = 2x2+ 6x − 8 and g(x) = x + 5. Find f(x) ×g(x) |
| Answer» <strong>Iff(x) = 2x<sup>2</sup>+ 6x − 8 and g(x) = x + 5, thenf(x) ×g(x) = 2x<sup>3</sup> + 16x<sup>2</sup>+ 22x - 40</strong><p>We will be using the concept of multiplying <a href="https://www.cuemath.com/calculus/What-are-functions/">functions</a> to solve this.</p> | |
| 8176. |
Solve the following system of equations and show all work. y=-x2 + 4, y=2x+1 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Solve the following system of equations and show all work.</strong><p><strong>Solution:</strong></p> | |
| 8177. |
What is 3 to the 4th power? |
| Answer» <strong>3 to the 4th power is equal to thenumber 3 multiplied by itself four times, and the resultant answer is81.</strong><p>3 to the 4<sup>th</sup>power, is mathematically interpreted as3<sup>4</sup>.</p> | |
| 8178. |
Using a six-sided die, what is the probability of rolling either a 5 or a 6? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Using a six-sided die, what is the probability of rolling either a 5 or a 6?</strong><p><strong>Solution:</strong></p> | |
| 8179. |
If g(x) = 3 + x + ex, find g-1(4). |
| Answer» <strong> Ifg(x) = 3 + x + e<sup>x</sup>, theng<sup>-1</sup>(4) = 0.</strong><p>We will be using the concept of inverse function to solve this. Theinverse of afunction isa function that returns the original value (input value) for which a function has given the output value.</p> | |
| 8180. |
What is 11/20 as a decimal? |
| Answer» <strong> 11/20 as a decimal is represented as 0.55.</strong><p><a href="https://www.cuemath.com/numbers/fractions/">Fractions</a>and<a href="https://www.cuemath.com/numbers/decimals/">decimals</a>are two ways to represent the same numbers.</p> | |
| 8181. |
Solve for x: 2 over 3 (x − 2) = 4x |
| Answer» <strong> For2 over 3 (x − 2) = 4x,x =(1± √2).</strong><p>An <a href="https://www.cuemath.com/algebra/equation/">equation</a> is a mathematical statement with an 'equal to' symbol between two algebraic expressions that have equal values.</p> | |
| 8182. |
What is 7/10as a percentage? |
| Answer» <strong> 7/10as a percentage is expressed as 70%.</strong><p>Percentage means a part or a portion out of hundred. It is represented by the symbol %.</p> | |
| 8183. |
Find the width of a rectangle with a perimeter of 90 cm and a length of 15 cm. |
| Answer» <strong> The width of the rectangle is 30 cm.</strong><p>A <a href="https://www.cuemath.com/geometry/rectangle/">rectangle</a> is a four sided polygon with equal opposite sides and all angles equal to 90º.</p> | |
| 8184. |
How do I write a decimal as a fraction? |
| Answer» <strong>We can write any decimal in terms of a fraction by using the method given below.</strong><p>A <a href="https://www.cuemath.com/numbers/fractions/">fraction</a> is a portion or section of any quantity out of a whole, where, the whole can be any number, a specific value, or a thing. All fractions consist ofa <a href="https://www.cuemath.com/numbers/numerator/">numerator</a> and a <a href="https://www.cuemath.com/numbers/denominator/">denominator</a>. A<a href="https://www.cuemath.com/numbers/decimals/">decimal</a>number can bedefinedas a number whose whole number part and the fractional part are separated by adecimalpoint.</p> | |
| 8185. |
How much does 16 oz of water weigh in pounds? |
| Answer» <strong> 16 ounces (oz) of water is equal to 1 pound in weight.</strong><p><strong>Pounds(lb)</strong> and <strong>Ounces(oz)</strong> are different measuring units to calculate the weight or mass of an item.</p> | |
| 8186. |
A. f(5) = 4 B. f(5, 4) = 0 C. f(4) = 5 D. f(5, 4) = 1 |
| Answer» <strong> Option C.f(4) = 5is the correct answer to the problem.</strong><p>A point that lies on the graph of a curve must satisfy the equation of the curve.</p> | |
| 8187. |
If the point (4, 5) is on the graph of a function, which equation must be true? |
| Answer» <strong> Option C.f(4) = 5is the correct answer to the problem.</strong><p>A point that lies on the graph of a curve must satisfy the equation of the curve.</p> | |
| 8188. |
Solve: −(3x − 2) = −4(x + 1) − 4. |
| Answer» <strong> x = -10</strong><p>An <a href="https://www.cuemath.com/algebra/equation/">equation</a> is a mathematical statement with an 'equal to' symbol between two algebraic expressions that have equal values.</p> | |
| 8189. |
What is the equation of the line, in slope-intercept form, that passes through (3, -1) and (-1, 5)? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the equation of the line, in slope-intercept form, that passes through (3, -1) and (-1, 5)?</strong><p><strong>Solution:</strong></p> | |
| 8190. |
Rearrange this expression into quadratic form, ax2+ bx + c = 0; 0.20 = x2/ (85 - x). |
| Answer» <strong>0.20 = x<sup>2</sup>/ (85-x) can be arranged in the quadratic form as5x<sup>2</sup>+ x - 85 = 0.</strong><p>An <a href="https://www.cuemath.com/algebra/algebraic-expression/">algebraic expression</a> in the form of ax<sup>2</sup>+ bx + c = 0 is called a <a href="https://www.cuemath.com/algebra/quadratic-equations/">quadratic equation</a>. It has a <a href="https://www.cuemath.com/algebra/degree-of-a-polynomial/">degree</a> value of 2.</p> | |
| 8191. |
A dress that normally costs $69.50 is on sale for 45% off. What is the sale price of the dress? $38.23, $31.28, $24.50, $1.54 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">A dress that normally costs $69.50 is on sale for 45% off. What is the sale price of the dress?</strong><p><strong>Solution:</strong></p> | |
| 8192. |
Find the remainder when f(x) is divided by (x - k). f(x) = 4x3 - 6x2 + 3x + 1; k= -2. |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Find the remainder when f(x) is divided by (x - k). f(x) = 4x<sup>3</sup> - 6x<sup>2</sup> + 3x + 1; k= -2.</strong><p><strong>Solution:</strong></p> | |
| 8193. |
What is the inverse of the function f(x) = x + 2? |
| Answer» <strong> The Inverse of the Function f(x) = x + 2isf<sup>-1</sup>(x) = x- 2</strong><p>We will be using the inverse <a href="https://www.cuemath.com/calculus/What-are-functions/">function</a> to solve this.</p> | |
| 8194. |
What is 1/6of 100? |
| Answer» <strong> 1/6of 100is 16⅔</strong><p>The<a data-mce-href="https://www.cuemath.com/numbers/multiplying-fractions/" href="https://www.cuemath.com/numbers/multiplying-fractions/">multiplication of fractions</a>starts with the multiplication of the given numerators, followed by the multiplication of the denominators.</p> | |
| 8195. |
What is 13/9 as a mixed number? |
| Answer» <strong>13/9 as a mixed number can be written as1 4/9.</strong><p>A<a href="https://www.cuemath.com/numbers/mixed-fractions/">mixed fraction</a>is defined as a fraction formedby combining a whole number and a fraction.</p> | |
| 8196. |
How to express 10to the power of 1? |
| Answer» <strong>10to the power of 1can be expressed as 10<sup>1</sup>= 10.</strong><p>Power in <a href="https://www.cuemath.com/algebra/exponents/">exponents</a> is defined as the total number of times we use the number ina <a href="https://www.cuemath.com/numbers/multiplication/">multiplication</a>.For example, 2 to the power 3 means 2 is multiplied 3 times.</p> | |
| 8197. |
What is 13/12 as a mixed number? |
| Answer» <strong>13/12 as a mixed number can be written as1 1/12</strong><p>A<a href="https://www.cuemath.com/numbers/mixed-fractions/">mixed fraction</a>is defined as a fraction formedby combining a whole number and a fraction.</p> | |
| 8198. |
If s(x) = 2x2+ 3x - 4, and t(x) = x + 4 then s(x) · t(x) = ? |
| Answer» <strong> Ifs(x) = 2x<sup>2</sup>+ 3x - 4, and t(x) = x + 4 then s(x) · t(x) =2x<sup>3</sup>+ 11x<sup>2</sup> + 8x - 16.</strong><p>We will use the concept of functions to solve this.</p> | |
| 8199. |
What is 13/10 as a mixed number? |
| Answer» <strong>13/10 as a mixed number is1 3/10.</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> | |
| 8200. |
The solution set of the compound inequality 3.5x - 10 > -3 and 8x - 9 < 39 is ? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">The solution set of the compound inequality 3.5x - 10 > -3 and 8x - 9 < 39 is ?</strong><p><strong>Solution:</strong></p> | |