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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.
| 5301. |
Solve the following equation 2x + 3 = 4 + x |
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Answer» The value of x for the given expression2x + 3 = 4 + x is equal to 1. Anequationcan bedefinedas a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value. |
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| 5302. |
What is the remainder when (2x3+ 4x2- 32x + 18) ÷ (x + 3) ? |
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Answer» What is the remainder when (2x3+ 4x2- 32x + 18) ÷ (x + 3) ? Solution: |
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| 5303. |
Find an equation of the line passing through the given points. (1, 1), (4, -12). |
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Answer» Find an equation of the line passing through the given points. (1, 1), (4, -12). Solution: |
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| 5304. |
Which equation has no solution? |-x - 3| = 5,|2x - 1| = 0,|5 - 3x| = -8,|-x + 9| = 0 |
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Answer» Which equation has no solution? |-x - 3| = 5,|2x - 1| = 0,|5 - 3x| = -8,|-x + 9| = 0 Solution: |
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| 5305. |
What is the formula for the volume of a cylinder? |
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Answer» The formula for the volume of a cylinder isπr2h cubic units. Volume is an important quantity that has an immense number of applications. Different shapes have different formulae for volumes. |
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| 5306. |
The sum of two prime numbers is 85. What is the product of these two prime numbers? |
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Answer» The product of the two prime numbers is 166. Prime numbers are numbers that have only two factors -1 and itself. |
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| 5307. |
The perimeter of parallelogram PQSR is 74 cm. What is QS? 4 cm, 6 cm, 8 cm, 12 cm |
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Answer» The perimeter of parallelogram PQSR is 74 cm. What is QS? 4 cm, 6 cm, 8 cm, 12 cm
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| 5308. |
Find the area of the triangle defined by the coordinates (-3, -4), (-7, 0), and (-3, 4). |
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Answer» Find the area of the triangle defined by the coordinates (-3, -4), (-7, 0), and (-3, 4). Solution: |
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| 5309. |
Find the remainder when f(x) is divided by (x - k) f(x) = 7x4 + 12x3 + 6x2 - 5x + 16; k = 3 |
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Answer» Find the remainder when f(x) is divided by (x - k) f(x) = 7x4+ 12x3+ 6x2- 5x + 16; k = 3 Solution: |
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| 5310. |
Find the derivative of y = log_10(x) |
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Answer» The derivative of log\(_{10}\)(x) = 1/ (xln 10) We define log functions as the inverses of exponentials. |
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| 5311. |
The value of t* for a 95% confidence interval when there were 10 pieces of data is? |
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Answer» The value of t* for a 95% confidence interval when there were 10 pieces of data is? Solution: |
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| 5312. |
Which of the following is an extraneous solution of (45-3x)1/2 = x-9 x = -12, x = -3, x = 3, x = 12 |
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Answer» Which of the following is an extraneous solution of (45-3x)1/2 = x-9 x = -12, x = -3, x = 3, x = 12 Solution: |
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| 5313. |
Determine the Range for the following Data Set:5, 17, 9, 7, 23 |
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Answer» Determine the Range for the following Data Set:5, 17, 9, 7, 23 Solution: |
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| 5314. |
For all real numbers a, b, and c: if a = b, then a + c = b + c. This is the ____ ____ of Equality. |
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Answer» For all real numbers a, b, and c: if a = b, then a + c = b + c. This is the ____ ____ of Equality. Solution: |
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| 5315. |
Find a unit vector that has the same direction as the given vector: (−8, 4, 8). |
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Answer» A unit vector with the same direction as (−8, 4, 8) is(−2/3, 1/3, 2/3). Vectors have many applications in the field of engineering and physics. Many problems related to kinematics and laws of motion are solved by using vectors. |
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| 5316. |
Solve the triangle. B= 73°, b = 15, c = 8, find the remaining side. |
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Answer» The value of the unknown side of the triangle is 15.22 units. Two important laws to find the missing side or angle of a triangle are the sine and cosine rules. |
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| 5317. |
Graph the relation {(5, 0), (0, 5), (5, 1), (1, 5)}. Is it a function? Why or why not? |
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Answer» Graph the relation {(5, 0), (0, 5), (5, 1), (1, 5)}. Is it a function? Why or why not? Solution: |
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| 5318. |
Based on the graph, what are the approximate solutions to the equation -2x + 8 = (0.25)x? |
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Answer» Based on the graph, what are the approximate solutions to the equation -2x + 8 = (0.25)x? Solution: |
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| 5319. |
What is 1/4 of an hour? |
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Answer» 1/4th of an hour is 15 minutes. 1 hour is equal to 60 minutes. |
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| 5320. |
The sum of a two-digit number and the number formed by reversing the order of its digits is 66. If the two digits differ by 2, find the number. How many such numbers are there? |
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Answer» There are 2 such numbers, that are, 42 and 24. A two-digit number has 2 digits, i.e one digit at the units place and one digit at the tens place. |
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| 5321. |
The circumference of the base of a cylindrical vessel is 132 cm and its height is 25 cm (use pi = 22/7). |
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Answer» Find the (i) Radius of the cylinder (ii) Volume of the cylinder A cylinder shape is a three-dimensionalsolid figurewhich consists oftwo circular bases connected with two parallel edges. |
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| 5322. |
The formula to convert °f to °c is c = 5/9 × (f – 32). convert 50°c to °f. |
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Answer» When we convert50°c to °f, we get 122°f. Celsius and Fahrenheit are the two important units to measure temperature. Fahrenheit is more frequently used in measuring body temperatures or temperature of liquids, whereas celsius is used to measure the climate. |
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| 5323. |
What is 25 degrees Celsius in Fahrenheit? |
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Answer» 25°Celsius is equivalent to 77°Fahrenheit. CelsiusandFahrenheitare different types of units or scales to measuretemperature. |
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| 5324. |
How to find the median of a set of numbers? |
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Answer» To find the median of a set of numbers (n) of odd entries :[{(n-1)/2} +1]th number and of even entries :[(n/2)th number + (n/2 + 1)th number] / 2. Median of a set of numbers is the middle number in the set. If the set has even numbers median is the average of the twomiddle numbers. |
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| 5325. |
Find the Slope and Y-Intercept 3(y-2)+6(x+1)-2=0? |
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Answer» Find the Slope and Y-Intercept 3(y-2)+6(x+1)-2=0? Solution: |
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| 5326. |
What is the area of this parallelogram? 40 m2, 72 m2, 92 m2, 112 m2 |
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Answer» What is the area of this parallelogram?
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| 5327. |
If(-5) = 0, what are all the factors of the function f(x) = x3- 19x + 30? Use the remainder theorem. |
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Answer» If(-5) = 0, what are all the factors of the function f(x) = x3 - 19x + 30? Use the remainder theorem. Solution: |
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| 5328. |
What is 37 degrees Celsius in Fahrenheit? |
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Answer» 37°Celsius is equivalent to 98.6°Fahrenheit. CelsiusandFahrenheitare different types of units or scales to measuretemperature. |
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| 5329. |
What is 1/3 to the power of 5? |
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Answer» 1/3to the power of 5 is(1/3)5= 1/243. Exponent is a very important concept in mathematics that makes our calculations easier and can be useful to represent very large numbers in shorter forms. |
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| 5330. |
What is 28 degrees Celsius in Fahrenheit? |
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Answer» 28°Celsius is equivalent to 82.4°Fahrenheit. CelsiusandFahrenheitare different types of units or scales to measuretemperature. |
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| 5331. |
20 degree Cis what in fahrenheit? |
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Answer» Temperature at 40° Celsius is equal to the temperature at 68°Fahrenheit. The are different types of units or scales to measuretemperature,CelsiusandFahrenheit are the most common amongst them. |
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| 5332. |
What is the set of all numbers, including all rational and irrational numbers? |
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Answer» Real numberis the set of all numbers, including all rational and irrational numbers. We will use the definition of real numbers to answer this question. |
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| 5333. |
What is 8 degrees Celsius in Fahrenheit? |
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Answer» 8°Celsius is equivalent to 46.4°Fahrenheit. CelsiusandFahrenheitare different types of units or scales to measuretemperature. |
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| 5334. |
A train travels at a speed of 60km/h for 0.52h, of 30km/h for the next 0.24h, and then at 70km/h for the next 0.71h. What is the average speed of the train? |
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Answer» The average speed of the train is59.93 km/h. Time, speed, and distance are related using the equation: Distance = Speed× Time. |
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| 5335. |
I am the smallest number having four different prime factors. Can you find me? |
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Answer» 210 is the smallest number having four different prime factors. Prime factorsof a number are the prime numbers that are multiplied to get the original number. |
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| 5336. |
What is an example of a dependent event? |
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Answer» What is an example of a dependent event? Solution: |
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| 5337. |
If g is the inverse function of f, and f'(x) = 1/(1 + x5) and g(2) = 2,what is the value of g'(2)? |
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Answer» If g is the inverse function of f, and f'(x) = 1/(1 + x5) and g(2) = 2, then the value of g'(2) = 33. Functions form the backbone of many concepts in mathematics, which include calculus, algebra and geometry as well. The inverse of functionsis also extensively used in these branches of mathematics. Let's solve a problem related to inverse functions on this page. |
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| 5338. |
What is the next number in the series 6 18 20 10 30 32 16? |
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Answer» What is the next number in the series 6 18 20 10 30 32 16? Solution: |
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| 5339. |
Is xy > 0 ? (1) x – y > –2 (2) x – 2y < –6 |
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Answer» (1) x – y > –2 (2) x – 2y < –6, both should hold good for xy > 0. The question is based on inequalities. |
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| 5340. |
What is 3 to the power of 12? |
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Answer» 3 to the power of 12 is 531441. We will use the multiplication rule of exponents and power. The exponent of any number signifies how many times we have to use the number in a multiplication. |
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| 5341. |
Find the product of (3x − 4)(2x² + 2x − 1). |
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Answer» The product of (3x − 4)(2x² + 2x − 1) is 6x³ - 2x² - 11x + 4. The multiplication of algebraic expressions is a method of multiplying two given expressions consisting of variables and constants. |
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| 5342. |
How many complex roots does the equation below have? x6 + x3 + 1 = 0 |
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Answer» How many complex roots does the equation below have? x6+ x3+ 1 = 0 Solution: |
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| 5343. |
If the x-axis is the quantity and the y-axis is price, what does the 85 in point (85, 5) represent? |
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Answer» If the x-axis is the quantity and the y-axis is price, what does the 85 in point (85, 5) represent? Solution: |
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| 5344. |
A function g(x) is defined as shown. g(x) = what is the value of g(4)?10, 12, 14, 16 \begin{matrix} 2+3x,& & 0\leq x< 4\\ 0.5x + 10,& & 4\leq x< 8\\ 16& & x\geq 16 \end{matrix} |
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Answer» A function g(x) is defined as shown. g(x) = what is the value of g(4)? Solution: |
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| 5345. |
The set containing all the elements that are common to both set A and set B is called the____of set A and B. |
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Answer» The set containing all the elements that are common to both set A and set B is called the____of set A and B. Solution: |
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| 5346. |
What is the difference between a rate and a unit rate? |
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Answer» Rate is the ratio between two different units of measurement, and the unit rate is the ratio betweentwo differentunitsof measurement for a single unit in the denominator. The rate of something is measured to compared one quantity with respect to another. For example, speed is measure as the rate of change of position, and acceleration is defined as the rate of change of speed. |
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| 5347. |
What is the significance of the mean of a probability distribution? |
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Answer» What is the significance of the mean of a probability distribution? Solution: |
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| 5348. |
In a test, an examinee either guesses or copies or knows that answer to a multiple-choice question which has four choices. The probability that he makes a guess is 1/3, and the probability that he copies is 1/6. The probability that his answer is correct, given he copied it, is 1/8. Find the probability that he knew the answer to the question, given that he answered it correctly. |
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Answer» The probability that he knew the answer to the question, given that he answered correctly is 24/29. Probability is a concept used in math and science to know the likelihood or occurrence of an event. |
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| 5349. |
What are the roots of f(x) = x2 - 48? |
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Answer» What are the roots of f(x) = x2- 48? Solution: |
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| 5350. |
In the equation x/35 = 7, what is the value of x? |
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Answer» In the equation x/35 = 7, the value of x is 245. We need to simplify the equation to obtain the value of x. |
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