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This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 6251. |
What is the solution of the system of equations? y = 3x + 7 and y = x -9 |
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Answer» What is the solution of the system of equations? y = 3x + 7 and y = x – 9 Solution: |
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| 6252. |
Solve for x: 5x + 2 = 4x − 9 |
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Answer» The value of x which satisfiesthe equation5x + 2 = 4x − 9 is equal to -11 Anequationcan be defined as amathematicalstatement consisting of an equal symbol between two algebraic expressions that have the same value. |
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| 6253. |
Solve the inequality 2x – 1 > x + 2. |
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Answer» The solution of this inequality isx > 3. We will use the concept of inequality in order to solve for x. |
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| 6254. |
What are the factors of x2 - 100 = 0? |
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Answer» What are the factors of x2- 100 = 0? Solution: |
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| 6255. |
When does sin x = 0? |
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Answer» When does sin x = 0? Solution: |
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| 6256. |
Divide the polynomial p(x) = x3 - 3x2 + 5x - 3 by the polynomial g(x) = x2 - 2. Find the quotient and remainder. |
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Answer» Divide the polynomial p(x) = x³- 3x² + 5x - 3 by the polynomial g(x) = x² - 2. Find the quotient and remainder. Solution: |
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| 6257. |
What is 1 3/8 as a decimal? |
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Answer» 1 3/8 as a decimal is 1.375 Adecimalnumber can bedefinedas a number whose whole number part and the fractional part is separated by adecimalpoint. |
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| 6258. |
If f(x) = 3x + 2 and g(x) = 2x - 2, what is (f - g)(x)? |
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Answer» If f(x) = 3x + 2 and g(x) = 2x - 2, what is (f - g)(x)? Solution: |
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| 6259. |
Find the value of each of the following: (i) 161/4 (ii) 625(-3/4) |
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Answer» The value of(i) 161/4= 2 and(ii) 625(-3/4)= 1/125 Exponential notation helps us to represent extremely large and small numbers in a simple and readable manner. Exponents or powers signifies the number of times a base (integer, fraction, decimal) is multiplied by itself. |
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| 6260. |
If f(x) = x/2 + 8, what is f(x) when x = 10? |
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Answer» If f(x) = x/2 + 8, what is f(x) when x = 10? Solution: |
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| 6261. |
How many possible outcomes would be there, if three coins were tossed once? |
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Answer» There would be 8 possible outcomesif three coins were tossed once Thepossibe outcomes when a single coin is tossed is 2 (heads or tails) |
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| 6262. |
Find all solutions in the interval [0, 2π). sin2x + sin x = 0 |
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Answer» Find all solutions in the interval [0, 2π). sin2x + sin x = 0 Solution: |
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| 6263. |
In circle O, AD and BE are diameters. What is mAE? |
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Answer» In circle O, AD and BE are diameters. What is mAE?
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| 6264. |
What is 0.0625 as a Fraction? |
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Answer» 0.0625 as a fraction is 1/16. Fraction helps us represent parts of a whole quantity. |
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| 6265. |
Solve for x: 7 over 8 minus 1 over x equals 3 over 4. |
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Answer» Solve for x: 7 over 8 minus 1 over x equals 3 over 4. Solution: |
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| 6266. |
In an election, the successful candidate registered 577500 votes and his nearest rival secured 348700 votes by what margin did the successful candidate win the election? |
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Answer» The successful candidate won the election by a margin of 228800 votes. To find the margin between two things, we can use subtraction between larger and smaller values. |
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| 6267. |
A ball is dropped from a height of 10 feet and bounces. Each bounce is 3/4 of the height of the bounce before. Thus, after the ball hits the floor for the first time, the ball rises to a height of 10(3/4) = 7.5 feet, and after it hits the second floor for the second time, it rises to a height of 7.5(3/4) = 10(3/4)² = 5.625 feet. (Assume g = 32 ft/sec² and that there is no air resistance.) 1) Find an expression for the height to which the ball rises after it hits the floor for the nth time. 2) Find an expression for the total vertical distance the ball has traveled when it hits the floor for the first, second, third, and fourth times. 3) Find an expression for the total vertical distance the ball has traveled when it hits the floor for the nth time. |
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Answer» A ball is dropped from a height of 10 feet and bounces. Each bounce is 3/4 of the height of the bounce before. Thus, after the ball hits the floor for the first time, the ball rises to a height of 10(3/4) = 7.5 feet, and after it hits the second floor for the second time, it rises to a height of 7.5(3/4) = 10(3/4)2 = 5.625 feet. (Assume g = 32 ft/sec2 and that there is no air resistance.) Solution: |
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| 6268. |
Write the equation in vertex form equivalent to f(x) = x2 + x +1? |
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Answer» Write the equation in vertex form equivalent to f(x) = x2 + x +1? Solution: |
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| 6269. |
The side length, s, of a cube is 4x2+ 3. If V = s3, what is the volume of the cube? |
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Answer» The side length, s, of a cube is 4x2+ 3. If V = s3, what is the volume of the cube? Solution: |
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| 6270. |
What is30 of 10? |
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Answer» 30 of 10is equal to 300. Multiplication, also known as repeated addition, isone of the four basic operations of arithmetic. |
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| 6271. |
What comes next in this sequencenumbers:11, 13, 17, 19, ? |
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Answer» 23comes next in this sequence ofnumbers:11, 13, 17, 19, .... All the numbers in the above sequence are prime numbers |
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| 6272. |
What is 15% of 100? |
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Answer» 15% of 100 is 15. A percentis a ratio of a number expressed out of100. |
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| 6273. |
The simple interest on a loan of $200 at 10 percent interest per year is? |
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Answer» The simple interest on a loan of $200 at 10 percent interest per year is $20 We need to calculate the simple interest per year for the given amount to solve this question. |
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| 6274. |
12 is 60 percent of what number? |
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Answer» 12 is 60 percent of 20. (60% of 20 = 12) Percentage is a fraction or a ratio in which the value of whole is always 100. |
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| 6275. |
What is the difference between standard deviation and standard error? |
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Answer» As per definition, standard deviation assesses the amount of variation in data, while standard error gauges the accuracy of the estimate. Both standard deviation and standard error are important parts of statistics in sample data calculations. |
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| 6276. |
Which of the following exponential functions goes through the points (1, 20) and (2, 80)? f(x) = 5(4)-x f(x) = 4(5)-x f(x) = 5(4)x f(x) = 4(5)x |
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Answer» Which of the following exponential functions goes through the points (1, 20) and (2, 80)? Solution: |
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| 6277. |
What is 20 minutes in decimal? |
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Answer» 20 minutes, in the decimal form, is expressed as 0.333 hours. Adecimalnumber can bedefinedas a number whose whole number part and the fractional part are separated by adecimalpoint. |
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| 6278. |
The LCM of two numbers is 14 times their HCF. The sum of LCM and HCF is 600. If one number is 280, find the other number |
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Answer» If the LCM of two numbers is 14 times their HCF and the sum of LCM and HCF is 600, one number being 280, the other number is 80 The smallest positive number that is a multiple of two or more numbers is known as the LCMor least common multiple |
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| 6279. |
What is the next number in this sequence 7 , 10 , 16 , 28 , 52 |
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Answer» What is the next number in this sequence 7 , 10 , 16 , 28 , 52 Solution: |
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| 6280. |
What is half of 9? |
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Answer» Half of 9is 9/2 or 4½as a fraction and 4.5 as a decimal. Themultiplication of fractionsstarts with the multiplication of the given numerators, followed by the multiplication of the denominators. |
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| 6281. |
If cos x = sin(20 + x)° and 0° < x < 90°, then the value of x is |
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Answer» If cos x = sin(20 + x)° and 0° < x < 90°, then the value of x is Solution: |
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| 6282. |
Find the rate of change of the function h(x) = 2x on the interval 2 ≤ x ≤ 4? |
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Answer» Find the rate of change of the function h(x) = 2xon the interval 2 ≤ x ≤ 4? Solution: |
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| 6283. |
What is 3% of 100? |
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Answer» 3% of 100 is 3. A percentis a ratio of a number expressed out of100. |
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| 6284. |
What is 9degrees Celsius in Fahrenheit? |
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Answer» 9° Celsius is equal to 48.2° Fahrenheit. The two different types of units or scales to measure temperature are Celsius and Fahrenheit. |
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| 6285. |
A student multiplied 7236 by 65 instead of multiplying by 56. By how much was his answer greater than the correct answer? |
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Answer» The student's answer was greater than the correct answer by 65124. Let us multiply7236 by 65 and 56 separately and find the solution. |
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| 6286. |
The number of girls and boys in a school is 525 and 675 respectively. What is the ratio of the boys and girls in the simplest form? |
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Answer» The ratio of boys and girls in the simplest form is 9 : 7. We use the ratio formula while comparing the relationship between two numbers or quantities. |
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| 6287. |
What is the y-intercept of the line whose equation is y = x - 3? |
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Answer» What is the y-intercept of the line whose equation is y = x - 3? Solution: |
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| 6288. |
When x = 3 and y = 5, by how much does the value of 3x² – 2y exceed the value of 2x² – 3y? |
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Answer» When x = 3 and y = 5, by how much does the value of 3x² – 2y exceed the value of 2x² – 3y? Solution: |
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| 6289. |
What is the axis of symmetry of h(x) = 6x² - 60x + 147? x = - 5, x = - 3, x = 3, x = 5 |
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Answer» What is the axis of symmetry of h(x) = 6x² - 60x + 147? x = - 5, x = - 3, x = 3, x = 5 Solution: |
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| 6290. |
What is the vertex of the quadratic function f(x) = (x - 8) (x - 2)? |
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Answer» What is the vertex of the quadratic function f(x) = (x - 8)(x - 2)? Solution: |
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| 6291. |
What is 18 degrees Celsius in Fahrenheit? |
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Answer» 18° Celsius is equal to 64.4° Fahrenheit. The two different types of units or scales to measure temperature are Celsius and Fahrenheit. |
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| 6292. |
Find the product of (x + 5)(x - 5). x2 - 10x + 25,x2 + 10x + 25,x2- 25,x2+ 25 |
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Answer» Find the product of (x + 5)(x - 5). Solution: |
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| 6293. |
Find a cartesian equation for the curve and identify it. r = 6 tan(θ) sec(θ) |
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Answer» Find a cartesian equation for the curve and identify it. r = 6 tan(θ) sec(θ) Solution: |
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| 6294. |
What values of a and b make the equation true?√(648) = √(2a × 3b) a = 3, b = 2 a = 2, b = 3 a = 3, b = 4 a = 4, b = 3 |
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Answer» What values of a and b make the equation true? √(648) =√(2ᵃ × 3ᵇ) Solution: |
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| 6295. |
What is the slope of any line parallel to the line 9x + 4y=7? |
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Answer» What is the slope of any line parallel to the line 9x+4y=7? Solution: |
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| 6296. |
Suppose y = √(2x + 1), where x and y are functions of t. a)if dx/dt = 3, find dy/dt when x = 4 b)if dy/dt = 5, find dx/dt when x = 12 |
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Answer» Suppose y = √(2x + 1), where x and y are functions of t. a)if dx/dt = 3, find dy/dt when x = 4 b)if dy/dt = 5, find dx/dt when x = 12 Solution: |
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| 6297. |
What is the probability of the complement of rolling a number less than 5 by using a six-sided die? |
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Answer» What is the probability of the complement of rolling a number less than 5 by using a six-sided die? Solution: |
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| 6298. |
If h(x) = 3x - 1 and j(x) = -2x, solve h[j(2)] and select the correct answer below. -11,11,-13,13 |
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Answer» If h(x) = 3x - 1 and j(x) = -2x, solve h[j(2)] and select the correct answer below. Solution: |
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| 6299. |
Without actually writing the formula, explain how to expand (x + 3)7 using the binomial theorem. |
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Answer» Without actually writing the formula, explain how to expand (x + 3)7using the binomial theorem. Solution: |
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| 6300. |
Factor completely 16x2 - 25. (4x - 5)(4x - 5),(4x + 5)(4x - 5),(16x + 5)(x - 5),(16x - 5)(x + 5) |
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Answer» Factor completely 16x2 - 25. Solution: |
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