InterviewSolution
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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.
| 8301. |
Linda can complete 4.5 long divisions in 1 hour. How many can she finish in 6.5 hours? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Linda can complete 4.5 long divisions in 1 hour. How many can she finish in 6.5 hours?</strong><p><strong>Solution:</strong></p> | |
| 8302. |
What is the coefficient of the third term in the binomial expansion of (a + b)6? 1,15,20,90 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the coefficient of the third term in the binomial expansion of (a + b)<sup>6</sup>?</strong><p><strong>Solution:</strong></p> | |
| 8303. |
Which shows one way to determine the factors of x3 + 4x2 + 5x + 20 by grouping? x(x2 + 4) + 5(x2 + 4) x2(x + 4) + 5(x + 4) x2(x + 5) + 4(x + 5) x(x2 + 5) + 4x(x2 + 5) |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Which shows one way to determine the factors of x<sup>3</sup> + 4x<sup>2</sup> + 5x + 20 by grouping?<br/> x(x<sup>2</sup> + 4) + 5(x<sup>2</sup> + 4)<br/> x<sup>2</sup>(x + 4) + 5(x + 4)<br/> x<sup>2</sup>(x + 5) + 4(x + 5)<br/> x(x<sup>2</sup> + 5) + 4x(x<sup>2</sup> + 5)</strong><p><strong>Solution:</strong></p> | |
| 8304. |
How many whole numbers between 31 and 73? |
| Answer» <strong> There are 41 whole numbers between 31 and 73.</strong><p><a href="https://www.cuemath.com/numbers/whole-numbers/">Whole numbers</a> are basically a set of integers from 0 onwards and consist of all the positive integers.</p> | |
| 8305. |
If f(x) = 4 - x2 and g(x) = 6x, which expression is equivalent to (g - f)(3)? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">If f(x) = 4 - x<sup>2</sup> and g(x) = 6x, which expression is equivalent to (g - f)(3)?</strong><p><strong>Solution:</strong></p> | |
| 8306. |
What is the formula of diagonal of cube and cuboid? |
| Answer» <strong> Diagonal of a cube =3⎷a ,Diagonal of a cuboid =⎷(l<sup>2</sup>+ b<sup>2</sup>+ h<sup>2</sup>)</strong><p>A <a href="https://www.cuemath.com/geometry/diagonals/">diagonal </a>is a line segment that joins two vertices of a polygon or a polyhedron.</p> | |
| 8307. |
Solve for x: −3(x + 3) = −3(x + 1) − 5 |
| Answer» <strong><span style="background-color:null;"> For x: −3(x + 3) = −3(x + 1) − 5 there is no solution.</span></strong><p>An <a href="https://www.cuemath.com/algebra/equation/">equation </a>is a mathematical expression used to represent the equality between any two expressions</p> | |
| 8308. |
How to find the area of a triangle in a square? |
| Answer» <strong> The area of a triangle in a square is equal to half the area of the square.</strong><p>Knowing about areas of different shapes is very important from a mathematics point of view. Also, knowing of areas of shapes embedded between another shape is also very important to know. They have many interesting properties which we will be studying on this page.</p> | |
| 8309. |
Find the measure of an angle that is equal to its complement. |
| Answer» <strong> The measure of the anglethat is equal to its complement is 45degrees.</strong><p>If the sum of the two angles is equal to the measurement of a right angle then the pair of angles is said to be <a href="https://www.cuemath.com/geometry/complementary-angles/">complementary angles</a>.</p> | |
| 8310. |
What are the factors of 18, 19, and 200? |
| Answer» <strong> The factors of 18 are 1, 2, 3, 6, 9, and 18. Factors of 19 are 1 and 19, and factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, and 200.</strong><p>A factoris a number that divides the given <a href="https://www.cuemath.com/numbers/">number</a> without any <a href="https://www.cuemath.com/numbers/remainder/">remainder</a>.</p> | |
| 8311. |
Find a cubic function with the given zeros. 6, -3, 5 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Find a cubic function with the given zeros. 6, -3, 5</strong><p><strong>Solution:</strong></p> | |
| 8312. |
What is 0.3 as a Fraction? |
| Answer» <strong> 0.3 as a fraction can be written as 3/10</strong><p><a href="https://www.cuemath.com/numbers/fractions/">Fractions</a> are mathematical notations to represent quantity out of a whole.</p> | |
| 8313. |
A number consists of two digits, whose sum is five. When the digits are reversed, the original number become greater by nine. Find the number. |
| Answer» <strong> A two-digit number whose sum of the digits is five and when the digits are reversed, the original number becomes greater by 9 is32.</strong><p>A <a href="https://www.cuemath.com/numbers/numbers-up-to-2-digits/">two-digit number</a> has 2 digits, one at the unit's place and one at the tens place.</p> | |
| 8314. |
What are the coordinates of the vertex of the graph of the function y = -x2 + 6x - 11 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What are the coordinates of the vertex of the graph of the function y = -x<sup>2 </sup>+ 6x - 11</strong><p><strong>Solution:</strong></p> | |
| 8315. |
What is 5 3/8 to decimal? |
| Answer» <strong> 5 3/8 is expressed as 5.375 in the decimal form.</strong><p>A<a href="https://www.cuemath.com/numbers/decimals/">decimal</a>number can bedefinedas a number whose <a href="https://www.cuemath.com/numbers/whole-numbers/">whole number</a> part and the fractional part are separated by adecimalpoint.</p> | |
| 8316. |
If A is a subset of B and B is a subset of C, then prove that A is a subset of C. |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">If A is a subset of B and B is a subset of C, then prove that A is a subset of C.</strong><p><strong>Solution :</strong></p> | |
| 8317. |
What is the difference between a quadrilateral and a parallelogram? |
| Answer» <strong> All parallelograms fall under the category of quadrilaterals, but all quadrilaterals can not be named as parallelograms.</strong><p>As the name suggests, a <a href="https://www.cuemath.com/geometry/quadrilaterals/">quadrilateral</a> is a polygon that has 4 sides.</p> | |
| 8318. |
How to express 1to the power of 2? |
| Answer» <strong> 1to the power of 2can be expressed as 1<sup>2</sup>= 1× 1= 1.</strong><p>Power in exponents 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> | |
| 8319. |
What is 30% of 200? |
| Answer» <strong> 30% of 200 is 60.</strong><p>A percentis a ratio of a number expressed out of100.</p> | |
| 8320. |
How Many Zeros in a Quadrillion? |
| Answer» <strong> There are 15 zeros in a Quadrillion.</strong><p><strong>Explanation:</strong></p> | |
| 8321. |
Less than (), and Not (not equal to) are examples of |
| Answer» <strong> Less than (<), greater than (>), and not (not equal to) are examples of the comparison operator.</strong><p>These are the symbols that use the comparison of two numbers, <a href="https://www.cuemath.com/numbers/fractions/">fractions, </a>or any comparing quantities.</p> | |
| 8322. |
How do you add a fraction and a whole number? |
| Answer» <strong> To add a fraction to a whole number, convert thewhole numberinto afraction, form a common denominator, and thenadd the two numerators.</strong><p><a href="https://www.cuemath.com/numbers/whole-numbers/">Whole numbers</a> are all natural numbers including 0.</p> | |
| 8323. |
Express 0.001 in the form of p/q. |
| Answer» <strong> The p/q form of 0.001 is 1/1000.</strong><p>This question can be solved using the concept of division with 10, 100, and so on.</p> | |
| 8324. |
The sum of 3 numbers in AP is 18. If the product of the first and third number is 5 times the common difference, find the numbers. |
| Answer» <strong> The numbers are 2, 6, and 10.</strong><p>Let us find the numbers using arithmetic progression properties.</p> | |
| 8325. |
The probability of a sure event is ____ |
| Answer» <strong> The probability of a sure event is 1.</strong><p>The probability of an event lies between 0and 1.</p> | |
| 8326. |
Express the given ratio in its simplest form 100:10 |
| Answer» <strong> The given ratio in its simplest form is 10:1</strong><p>Let us simplify the given <a href="https://www.cuemath.com/commercial-math/ratio/">ratio</a>.</p> | |
| 8327. |
Choose the correct graph of the given system of equations:y + 2x = −1 and3y − x = 4 |
| Answer» <strong> Option a) is correct.</strong><p><img alt="system of equations:y + 2x = −1 and3y − x = 4" src="https://d138zd1ktt9iqe.cloudfront.net/media/seo_landing_files/choose-the-correct-graph-of-the-given-system-of-equations-01-1622111912.png" style="width: 400px; height: 486px;"/></p> | |
| 8328. |
A die is tossed. Find the odds against rolling a number greater than 4. |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">A die is tossed. Find the odds against rolling a number greater than 4.</strong><p><strong>Solution:</strong></p> | |
| 8329. |
What is the rough estimate and closer estimate of 4125 + 139 + 62? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the rough estimate and closer estimate of 4125 + 139 + 62?</strong><p><strong>Solution:</strong></p> | |
| 8330. |
Solve x - 2y = 0; 3x + 4y = 20. |
| Answer» <strong> The solution to x-2y=0; 3x+4y=20 is, x = 4 and y = 2.</strong><p>Linear equations in two variables are in the standard form of ax + by + c = 0 where a, b≠ 0.</p> | |
| 8331. |
Shivangi had a picture that is 40 cm long and 28 cm wide in the center of the panel leaving a border of 1 cm on all sides. Find the area of the panel and cover by the picture. |
| Answer» <strong> The area of the panel is 1189 cm<sup>2</sup> and the area of the picture is 1120 cm<sup>2</sup>.</strong><p>The area of the picture can be obtained by multiplying its length and breadth.</p> | |
| 8332. |
How much greater is the value of 3x + 5 than the value of 3x - 7? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">How much greater is the value of 3x + 5 than the value of 3x - 7?</strong><p><strong>Solution:</strong></p> | |
| 8333. |
What is an equation for a sine curve with amplitude 2 and period 4 pi radians? |
| Answer» <strong style="font-size:18px; line-height:25px !important;">Theequation for a sine curve with amplitude 2 and period 4 pi radians isf(x) = 2 sin(x/2).</strong><p>We will be using the phase shift standard form to solve this.</p> | |
| 8334. |
Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. f(x) = x, [0, 9] |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. f(x) = x, [0, 9]</strong><p><strong>Solution:</strong></p> | |
| 8335. |
What is 2.5% as a decimal? |
| Answer» <strong> 2.5% as a decimal is 0.025.</strong><p>A<a href="https://www.cuemath.com/numbers/decimals/">decimalnumber</a> can bedefinedas a number whose whole number part and the fractional part are separated by adecimalpoint. A <a href="https://www.cuemath.com/commercial-math/percentages/">percentage </a>is a fraction or a ratio in which the value of the whole is always 100.</p> | |
| 8336. |
Find the exact values of cos(3pi/4 radians) and sin (3pi/4 radians) |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Find the exact values of cos(3pi/4 radians) and sin (3pi/4 radians)</strong><p><strong>solution:</strong></p> | |
| 8337. |
Make the greatest and the smallest 4-digit number using any four different digits with the given conditions. (a) 4 is always in the thousands place. (b) 0 is always in the hundreds place. (c) 6 is always in the ones place. |
| Answer» <strong> The greatestand the smallest 4-digit numbers for all the options are explained below.</strong><p><span style="font-size:16px;">A <a href="https://www.cuemath.com/numbers/numbers-up-to-4-digits/">four-digit</a> number is in the format ABCD, where A can take any digit from 1 to 9 and B, C, D can take any value from 0 to 9.</span></p> | |
| 8338. |
What is 13/20 as a decimal? |
| Answer» <strong> 13/20 as a decimal is0.65</strong><p>A<a href="https://www.cuemath.com/numbers/decimals/">decimal</a>number can bedefinedas a number whose <a href="https://www.cuemath.com/numbers/whole-numbers/">whole number</a> part and the fractional part are separated by adecimalpoint.</p> | |
| 8339. |
How many surfaces does a coin have? |
| Answer» <strong> A coin has one curved and two flat surfaces.</strong><p>A coin is considered to be cylindrical in shape.</p> | |
| 8340. |
Find the rootsof f(x) = (x - 6)2(x + 2)2 |
| Answer» <strong> The rootsof f(x) = (x - 6)<sup>2</sup>(x + 2)<sup>2</sup>arex = 6 and x = -2</strong><p>The <a href="https://www.cuemath.com/algebra/what-are-roots-in-polynomial-expressions/">roots</a> of any function f(x) are the values of x for which the value of the function f(x) = 0.</p> | |
| 8341. |
Given the equations of two lines, describe how to determine if the lines are parallel. |
| Answer» <strong> If the slopes of the given lines are equal, then we can say that the given lines are parallel.</strong><p><a href="https://www.cuemath.com/geometry/coordinate-geometry/">Coordinate Geometry</a> is a very important topic in mathematics in which various equations are represented as curves on the cartesian, polar, or other types of planes.</p> | |
| 8342. |
Solve for b2 in A = 1/2 h(b1+ b2), if A = 16, h = 4, and b1 = 3. |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Solve for b<sub>2</sub>in A = 1/2 h(b<sub>1</sub>+ b<sub>2</sub>), if A = 16, h = 4, and b<sub>1</sub>= 3.</strong><p><strong>Solution:</strong></p> | |
| 8343. |
The value pi/12 is a solution for the equation: 4cos2(4x) - 3 = 0. True or False. |
| Answer» <strong> False, x = π/12 is not a solution for the equation 4cos^{2}<sup></sup>(4x) - 3 = 0.</strong><p><a href="https://www.cuemath.com/trigonometry/">Trigonometry</a> is the study of the relationship of sides and angles of triangles. It has many applications in <a href="https://www.cuemath.com/calculus/">calculus</a> and <a href="https://www.cuemath.com/algebra/">algebra</a>.</p> | |
| 8344. |
How can you quickly determine the number of roots a polynomial will have by looking at the equation? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">How can you quickly determine the number of roots a polynomial will have by looking at the equation?</strong><p><strong>Solution:</strong></p> | |
| 8345. |
1 cm equals how many meters? |
| Answer» <strong> 1 cm equals 0.01 meters.</strong><p>Centimeters andmeters are used to measure length.</p> | |
| 8346. |
Solve for x if 3x = 2x + 18 |
| Answer» <strong dir="ltr"> The value of x is 18.</strong><p dir="ltr">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> | |
| 8347. |
What is the sum of the first six terms of the geometric series? 2 - 6 + 18 - 54 + … |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the sum of the first six terms of the geometric series?<br/> 2 - 6 + 18 - 54 + …</strong><p><strong>Solution:</strong></p> | |
| 8348. |
Solvex/2 + x/4 = 1/8 |
| Answer» <strong> The value of x is 1/6.</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> | |
| 8349. |
Find the odd one out in the given options: (1) 145 (2) 197 (3) 325 (4) 399 |
| Answer» <strong> The odd one out is 399.</strong><p>Recognize the numberpattern.</p> | |
| 8350. |
In a triangle ABC, if 3∠A = 4∠B = 6∠C, calculate the angles. |
| Answer» <strong> The angles A, B and C are80°, 60°, and 40° respectively.</strong><p>The sum of the angles of a <a href="https://www.cuemath.com/geometry/triangles/">triangle</a> is always 180°.</p> | |