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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.
| 8251. |
Find the mean median and mode of the given data set: |
| Answer» <strong>The mean, median, and mode for the given data set are 13.18, 10, 5 respectively.</strong><p>Mean, median, and mode are important statistics parameters to analyze any data set.</p> | |
| 8252. |
What is the only solution of 2x2 + 8x = x2 - 16? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the only solution of 2x<sup>2</sup> + 8x = x<sup>2</sup> - 16?</strong><p><strong>Solution:</strong></p> | |
| 8253. |
What is the value of x in the equation 2(x - 3) + 9 = 3(x + 1) + x? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the value of x in the equation 2(x - 3) + 9 = 3(x + 1) + x?</strong><p><strong>Solution:</strong></p> | |
| 8254. |
Express the fractions 3/4, 7/16, and 5/8with an LCD. |
| Answer» <strong> 12/16, 7/16, and 10/16</strong><p>LCD is the least common denominator of a given set of fractions.</p> | |
| 8255. |
How to turn a mixed fraction into an improper fraction? |
| Answer» <strong> To convert a mixed fraction into an improper fraction the whole number is multiplied with the denominator and the result is added to the numerator which becomes the numerator of the improper fraction. The denominator remains the same.</strong><p>A fraction in which the numerator is equal to or greater than the denominator is called an<a href="https://www.cuemath.com/numbers/improper-fractions/">improper fraction</a>.</p> | |
| 8256. |
What is the simplified form of 3/(2x + 5) + 21/(8x2 + 26x + 15) |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the simplified form of 3/(2x + 5) + 21/(8x<sup>2</sup> + 26x + 15)</strong><p><strong>Solution:</strong></p> | |
| 8257. |
How do you convert 1m to cm? |
| Answer» <strong> To convert 1 meter (m) to centimeters (cm), we multiply the quantity in meters by 100.</strong><p>There are 100 centimetersin 1meter.</p> | |
| 8258. |
Find the complex cube root of 8. |
| Answer» <strong> The complex cube root of 8is −1 ± √3i</strong><p>We have to find the complex cube root of 8.</p> | |
| 8259. |
A deciliter is how many times larger than a milliliter? |
| Answer» <strong> A deciliter is 100 times larger than a milliliter.</strong><p>Deciliter<strong> </strong>and Milliliter<strong> </strong>are different measuring units used to measure the <a href="https://www.cuemath.com/measurement/volume/">volume </a>of an object or a liquid.</p> | |
| 8260. |
A sequence is defined by the formula f(n + 1) = f(n) - 3. If f(4) = 22, what is f(1)? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">A sequence is defined by the formula f(n + 1) = f(n) - 3. If f(4) = 22, what is f(1)?</strong><p><strong>Solution:</strong></p> | |
| 8261. |
Find five rational numbers between 1 and 2? |
| Answer» <strong> Five rational numbers between 1 and 2 are11/10, 12/10, 13/10, 14/10, and 15/10</strong><p>When any two integers are expressed in the form of p/q, where q ≠ 0, it is known as a<a href="https://www.cuemath.com/numbers/rational-numbers/">rational number</a>.</p> | |
| 8262. |
Solve the equation:6 = 2(x + 8) - 5x |
| Answer» <strong> The value of x for the given equation6 = 2(x + 8) - 5x is 10/3.</strong><p>The solution to this question is obtained by combining the like terms, thereby simplifying the given <a href="https://www.cuemath.com/algebra/expression-definition/">expression</a>.</p> | |
| 8263. |
How do you find the area of an irregular shape? |
| Answer» <strong> The area of an irregular shape can be found out by dividing theirregular shapeinto two or more regularshapes.</strong><p>Anirregular shapeis a<a href="https://www.cuemath.com/geometry/shapes/">shape</a>that has sides and angles of any length and size.</p> | |
| 8264. |
If you flip a coin 3 times what is the probability of getting 3 heads? |
| Answer» <strong> If you flip a coin 3 times the probability of getting 3 heads is 0.125</strong><p>For answering this questionweneed to consider all the possibilities when you flip a coin 3 times.</p> | |
| 8265. |
How do you find the range of a data set? |
| Answer» <strong> We can find the range of a data set by subtracting the lowest value from the highest value in a set of observations.</strong><p>Rangeis the difference between the highest and the lowest values in a given set of observations.</p> | |
| 8266. |
Prove the following i. cosec2A - cot2A = tanA ii. 2sinAcos3A - 2sin3AcosA = sin4A/2 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Prove the following i. cosec2A - cot2A = tanA ii. 2sinAcos3A - 2sin3AcosA = sin4A/2</strong><p><strong>Solution:</strong></p> | |
| 8267. |
Find the area of the figure to the nearest tenth |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Find the area of the figure to the nearest tenth</strong><p><b id="docs-internal-guid-5311c475-7fff-a502-12fc-c111e9aca419"><img alt="finding the area of the sector" src="https://d138zd1ktt9iqe.cloudfront.net/media/seo_landing_files/q-74-3-1635574477.png" style="width: 300px;max-width:100%"/></b></p> | |
| 8268. |
What is the first step in solving the quadratic equation -5x2 + 8 = 133 is to subtract from each side. Taking the square root of both sides of the equation Subtracting 8 from both sides of the equation Squaring both sides of the equation Adding 8 to both sides of the equation |
| Answer» <strong style="line-height: 20px !important;"><span style="font-size: 15px;">What is the first step in solving the quadratic equation -5x</span><sup><span style="font-size: 12.5px;">2</span></sup><span style="font-size: 15px;">+ 8 = 133 is to subtract from each side.</span><br/> <span style="font-size: 15px;">Taking the square root of both sides of the equation</span><br/> <span style="font-size: 15px;">Subtracting 8 from both sides of the equation</span><br/> <span style="font-size: 15px;">Squaring both sides of the equation</span><br/> <span style="font-size: 15px;">Adding 8 to both sides of the equation</span></strong><p><strong>Solution:</strong></p> | |
| 8269. |
What is the simplified form of 3/(4x + 3) + 21/(8x2 + 26x + 15) |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the simplified form of 3/(4x + 3) + 21/(8x<sup>2</sup> + 26x + 15)</strong><p><strong>Solution:</strong></p> | |
| 8270. |
What is the equation of a line that passes through the point (2,1) and has an undefined slope? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the equation of a line that passes through the point (2,1) and has an undefined slope?</strong><p><strong>Solution:</strong></p> | |
| 8271. |
Find the common ratio of the sequence. -164, -82, -41, -20.5, . . . |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Find the common ratio of the sequence. -164, -82, -41, -20.5, . . .</strong><p><strong>Solution:</strong></p> | |
| 8272. |
Find the Equation for a Line that Passes through the Two Points (−1,3) and (4,−5). |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Find the Equation for a Line that Passes through the Two Points (−1,3) and (4,−5).</strong><p><strong>Solution:</strong></p> | |
| 8273. |
Find the product of (x + 5)(x − 5) |
| Answer» <strong> The product of (x+5)(x-5) is x<sup>2 </sup>- 25</strong><p>The product of (a+b)(a-b) = a<sup>2</sup>- b<sup>2</sup></p> | |
| 8274. |
How to know if a number is divisible by 4? |
| Answer» <strong> For a number to be divisible by 4,the last two digits of thenumber should be divisible by 4.</strong><p>You can easily tell if a number isdivisible by 4 by performing the divisibility testof 4on the number.</p> | |
| 8275. |
If f is continuous at x = c, then f is differentiable at x = c ? |
| Answer» <strong> It is not necessary that if a function f is continuous at x = c, then fwill be differentiable at x = c.</strong><p>We will use the concept of limit, continuity, and differentiability to find the required reasoning.</p> | |
| 8276. |
If in a histogram the area of the rectangle is proportional to its frequency, can we say that the lengths of the rectangles are also proportional to the frequencies? |
| Answer» <strong style="font-size:18px; line-height:25px !important;"> Yes. In a histogram, the area of the rectangle is proportional to its frequency, we can say that the lengths of the rectangles are proportional to the frequencies.</strong><p><a href="https://www.cuemath.com/data/histograms/">Histogram</a> refers to the graphical representation of data using bars of different heights. Each bar shows data in the shape of a rectangle.</p> | |
| 8277. |
Find the remainder when (x3– 2) is divided by (x – 1). What is the remainder? |
| Answer» <strong> When (x<sup>3</sup>– 2) is divided by (x – 1), the remainder is -3.</strong><p>In the question, the dividend is(x<sup>3</sup>– 2) and the divisor is (x-1).</p> | |
| 8278. |
How much water is in the ocean in cubic kilometers? |
| Answer» <strong> All the oceans together have approximately 1,338,000,000cubic kilometers of water.</strong><p>The <a href="https://www.cuemath.com/measurement/volume/">volume</a> of liquids can be expressed in both liters and cubic kilometers.</p> | |
| 8279. |
The set of all elements in the universal set that is not in set A is called the_____ of set A. |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">The set of all elements in the universal set that is not in set A is called the_____ of set A.</strong><p><strong>Solution:</strong></p> | |
| 8280. |
Which statement is true about the product square root of 2(5 + square root of 8)? It is rational and equal to 7. It is rational and equal to 9. It is irrational and equal to 4 + square root of 10. It is irrational and equal to 4 + 5square root of 2. |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Which statement is true about the product square root of 2(5 + square root of 8)?</strong><p><strong>Solution:</strong></p> | |
| 8281. |
If sin θ = -1 / 2 and π < θ < 3π / 2 , what are the values of cos θ and tan θ? |
| Answer» <strong style="font-size:18px; line-height:25px !important;">If sin θ = -1 / 2 and π < θ < 3π / 2,the values of cos θ and tan θ arecos θ = - √3/ 2and tanθ =1 /√3 respectively.</strong><p>We will use the concepts of <a href="https://www.cuemath.com/trigonometry/">trigonometry </a>to find the valuesofcos θ and tan θ.</p> | |
| 8282. |
What is the product of a number and its reciprocal? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the product of a number and its reciprocal?</strong><p><strong>Solution:</strong></p> | |
| 8283. |
What is 31/6 as a mixed number? |
| Answer» <strong>31/6 as a mixed number can be written as5 1/6</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> | |
| 8284. |
Which table best represents the steps to solve the equation x over 8 - 5 = -1? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Which table best represents the steps to solve the equation x over 8 - 5 = -1?</strong><p><strong>Solution:</strong></p> | |
| 8285. |
Let r = x i + y j + z k and r = |r|. If F = r/rp, find div F. (Enter your answer in terms of r and p.) |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Let r = x i + y j + z k and r = |r|. If F = r/r<sup>p</sup>, find div F. (Enter your answer in terms of r and p.)</strong><p><strong>Solution:</strong></p> | |
| 8286. |
For a binomial distribution, the mean is 4.0 and n= 8. What is π for this distribution? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">For a binomial distribution, the mean is 4.0 and n= 8. What is π for this distribution?</strong><p><strong>Solution:</strong></p> | |
| 8287. |
What is the difference between univariate data and bivariate data? |
| Answer» <strong> The basic difference between univariate data and bivariate data is that the latter deals with the causes and relationships while univariate data only describes the single variable in it.</strong><p>Univariate is defined for a single variable while bivariate is for two variables.</p> | |
| 8288. |
Find a positive number such that the sum of the number and its reciprocal is as small as possible. |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Find a positive number such that the sum of the number and its reciprocal is as small as possible.</strong><p><strong>Solution:</strong></p> | |
| 8289. |
(a)πr2 (b) 2πr (c)πr |
| Answer» <strong> The circumference of a circle can be calculated using the expression (b) 2πr </strong><p>The <a href="https://www.cuemath.com/geometry/circumference-of-a-circle/">circumference of a circle</a> is the perimeter of the circle. It is the total length of the boundary of the circle.</p> | |
| 8290. |
What is the circumference of the circle below in terms of pi (π)? |
| Answer» <strong> The circumference of a circle can be calculated using the expression (b) 2πr </strong><p>The <a href="https://www.cuemath.com/geometry/circumference-of-a-circle/">circumference of a circle</a> is the perimeter of the circle. It is the total length of the boundary of the circle.</p> | |
| 8291. |
Write the equation in slope-intercept form. What are the slope and y-intercept? -3x - 10y = 7 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Write the equation in slope-intercept form. What are the slope and y-intercept? -3x - 10y = 7</strong><p><strong>Solution:</strong></p> | |
| 8292. |
In a parallelogram ABCD if angle D = 125 degrees, then the other angles are? |
| Answer» <strong> The other angles are 125°, 55°, 55° respectively.</strong><p>A <a href="https://www.cuemath.com/geometry/parallelograms/">parallelogram</a> is defined as a <a href="https://www.cuemath.com/geometry/quadrilaterals/">quadrilateral</a> in which both pairs of opposite sides are parallel and equal.</p> | |
| 8293. |
How to determine if a function is odd, even or neither? |
| Answer» <strong> Iff(x) =- f(-x), then f is an odd function.Iff(x) =f(-x), then f is an even function. If neither of these conditions hold, then f is neither even nor odd function.</strong><p>We will use the concept of odd and even functions to find the nature of the function.</p> | |
| 8294. |
How do youfind the value of sin 300º? |
| Answer» <strong> The value of sin 300º is- √3/2.</strong><p>The function sin 300º can be written as sin (360º -60º). By applying the <a href="https://www.cuemath.com/trigonometry/trigonometric-identities/">trigonometric identity</a>sin (A -B), we can find the value of sin 300º.</p> | |
| 8295. |
What is 5/4 as a decimal? |
| Answer» <strong> 5/4 as a decimal is1.25</strong><p>A<a href="https://www.cuemath.com/numbers/decimals/">decimalnumber</a> can bedefinedas a number whose <a href="https://www.cuemath.com/numbers/whole-numbers/">whole number</a> part and the fractional part is separated by adecimalpoint.</p> | |
| 8296. |
Find a vector that has the same direction as −6, 6, 4 but has length 6. |
| Answer» <strong>A vector with the same direction as (−6, 6, 4) but has length 6 is(−18/√22, 18/√22, 12/√22).</strong><p><a href="https://www.cuemath.com/geometry/vectors/">Vectors</a> are very interesting concepts in mathematics that have an immense number of applications in engineering and physics. They have many interesting properties. We will be using the concept of scaling and the similarity of the vectors.</p> | |
| 8297. |
What is 1/3of 6? |
| Answer» <strong> 1/3of 6 is 2</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> | |
| 8298. |
State how many imaginary and real zeros the function has. f(x) = x3 + 5x2 + x + 5 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">State how many imaginary and real zeros the function has. f(x) = x<sup>3</sup>+ 5x<sup>2</sup>+ x + 5</strong><p><strong>Solution:</strong></p> | |
| 8299. |
What is the basic unit of volume in the metric system? |
| Answer» <strong> The basic unit of volume in the metric systemis cubic metres and litres.</strong><p>There are many systems of measurement in the world that are used to measure different types of measurements.</p> | |
| 8300. |
In the data set, what is the variance? 6, 8, 1, 9, 4 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">In the data set, what is the variance? 6, 8, 1, 9, 4</strong><p><strong>Solution:</strong></p> | |