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.
| 7251. |
How to find the area of a circle using the circumference? |
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Answer» The area of a circle = C²/4π, where 'C' is thecircumference of the circle Thecircumference of a circle(C) =2πr(where r denotes the radius of the circle) is the total boundary of the circle |
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| 7252. |
How many Inches is 100 cm? |
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Answer» There are 39.3701 inches in 100 cm. Centimeter belongs to the metric system of measurementwhile inch is a part of the US customary measurement system. |
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| 7253. |
Find the remainder when f(x) = 2x3 - 12x2 + 11x + 2 is divided by x - 5. |
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Answer» Find the remainder when f(x) = 2x3- 12x2+ 11x + 2 is divided by x - 5. Solution: |
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| 7254. |
Identify all of the root(s) of g(x) = (x2 - 3x - 4)(x2 - 4x + 29). |
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Answer» Identify all of the root(s) of g(x) = (x2 - 3x - 4)(x2 - 4x + 29). Solution: |
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| 7255. |
What is the perimeter of △LMN? |
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Answer» What is the perimeter of △LMN?
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| 7256. |
Write down, in figures, seventeen thousand and seventeen. |
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Answer» Write down, in figures, seventeen thousand and seventeen. Solution: |
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| 7257. |
What is the arc length when θ = 3 pi over 5 and the radius is 7 cm? |
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Answer» What is the arc length when θ = 3 pi over 5 and the radius is 7 cm? Solution: |
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| 7258. |
How Do You Solve For y In The Equation 2x + y = 6? |
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Answer» Solving for y in the equation 2x + y = 6, we get y = 6 - 2x. In the equation, 2x + y= 6 can be rearranged to solve for y. |
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| 7259. |
What are the values of a, b, and c in the quadratic equation 0 = x2 – 3x – 2? |
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Answer» a = 1, b = -3 and c = -2, are the values of a, b, and c in the quadratic equation x2 – 3x – 2 = 0. This equation has been compared with the standard form of quadratic equationax2+ bx + c = 0. Quadratic equations are the type of equations that have a degree equal to two and are of the form ax2+ bx + c, where a is not equal to zero. |
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| 7260. |
What are the solutions of the equation x6 - 9x3 + 8 = 0? Use u substitution to solve. |
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Answer» What are the solutions of the equation x6 - 9x3 + 8 = 0? Use u substitution to solve. Solution: |
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| 7261. |
When to use the law of sines V/S the law of cosines? |
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Answer» When to use the law of sines V/S the law of cosines? Solution: |
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| 7262. |
What is the name of polyhedrons with twelve flat faces? |
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Answer» What is the name of polyhedrons with twelve flat faces? Solution: |
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| 7263. |
Based on the given information in the figure at the right, how can you justify that triangle ABC is congruent to triangle CDA?ASA, SSS, AAS, SAS |
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Answer» Based on the given information in the figure at the right, how can you justify that triangle ABC is congruent to triangle CDA? Solution: |
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| 7264. |
How many sides does a square have? |
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Answer» A square has 4 sides. A polygon is a closed two-dimensional figure made up of straight lines. |
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| 7265. |
Simplify (8x2 - 1 + 2x3) - (7x3 - 3x2 + 1). |
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Answer» Simplify (8x2 - 1 + 2x3) - (7x3 - 3x2 + 1). Solution: |
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| 7266. |
Find the exact length of the curve. y = 5 + 8x3/2, 0 ≤ x ≤ 1? |
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Answer» 7.995 isthe exact length of the curve. The exact length of a curve is a geometrical concept that addressed by integral calculus. It is a method for calculating the exact lengths of line segments. |
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| 7267. |
Solve the given differential equation by undetermined coefficients. y'' - y' + 1/4 y = 8 + ex/2 |
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Answer» Solve the given differential equation by undetermined coefficients. y'' - y' + 1/4 y = 8 + ex/2 Solution: |
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| 7268. |
Solve the following system of equations and show all work:y = 2x2, y = –3x − 1. |
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Answer» The solution of the system of equationsy = 2x2,y = –3x − 1 is x = = -1, -1/2. Equations are the backbone of mathematics. There can be many types of equations like quadratic equations, linear equations, and many others. |
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| 7269. |
Consider circle T with radius 24 in and θ = 5pi/6 radians. What is the length of minor arc SV? 20π in,28π in,40π in,63π in. |
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Answer» Consider circle T with radius 24 in and θ = 5pi/6 radians. What is the length of minor arc SV? Solution: |
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| 7270. |
What is 10to the 2ndpower? |
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Answer» The value of 10 raised to the 2ndpower is 100. The exponentor power of a number shows how many times the number is multiplied by itself. |
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| 7271. |
If a is a zero of the polynomial p(x), then (x - a) must be a factor of p(x). |
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Answer» Yes, if a is a zero of the polynomial p(x) then (x - a) is a factor of p(x). We will use the concept of the remainder theorem in order to find the required answer. |
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| 7272. |
What is the solution to the system of equations? y = 3x + 7, y = x - 9. |
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Answer» What is the solution to the system of equations? y = 3x + 7, y = x - 9. Solution: |
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| 7273. |
Find the diameter if the radius is 8.8cm. |
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Answer» If the radius is 8.8 cm, thediameter is 17.6 cm. The length of the diameter is twice the length of the radius. |
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| 7274. |
Give a rough estimate (by rounding off to nearest hundreds) and also a closer estimate (by rounding off to nearest tens): (a) 439 + 334 + 4317 (b) 1,08,737- 47,599 (c) 8325 - 491 (d) 4,89,348 - 48,365 |
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Answer» Rounding Numbers is used to ease the calculation by adjusting the digits. We have to round off the values nearest to hundred and tens. |
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| 7275. |
For the function f(x) = (8 - 2x)2 ,find f-1 . Determine whether f-1 is a function. |
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Answer» For the function f(x) = (8 - 2x)2,find f-1. Determine whether f-1is a function. Solution: |
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| 7276. |
If h(x) = x – 7 and g(x) = x2, find the value that is equivalent to (g*h)(5)? |
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Answer» (g*h)(5) =-50 We will use the concept of functions in order to find the required answer. |
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| 7277. |
What is the inverse of the function f(x) = x – 12? |
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Answer» Answer : The inverse function of the functionf (x) = x - 12 is f-1(x) = x + 12. We will use the concept of inverse function to find the inverse of the above function. |
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| 7278. |
What is the area of the trapezoid? |
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Answer» The area of a trapezoid is A = (1/2) × (a + b) × h Atrapezoidis a quadrilateral with one pair of parallel sides (which are known as bases). |
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| 7279. |
What is the value of the magnitude of the difference of vectors a and b, |a - b|? |
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Answer» What is the value of the magnitude of the difference of vectors a and b, |a - b|? Solution: |
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| 7280. |
What is 3 to the second power? |
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Answer» 3 raised to the second power is equal to 9. The exponent of a number shows how many times the number is multiplied by itself. |
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| 7281. |
How many diagonals can be drawn from each vertex of a decagon? |
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Answer» The number of diagonals that can be drawn from each vertex of a decagon is 7. A diagonal of a polygon is aline segmentthat is obtained by joining any two non-adjacent vertices. |
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| 7282. |
Find the surface area and volume of a rectangular pyramid of length = 5 units, width = 4 units, and height = 7 units |
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Answer» For a rectangular pyramid of length = 5 units, width = 4 units, and height = 7 units, the Surface area is 86.132 square unitsand the volume is 46.666cubic units. Arectangular pyramidis a three-dimensional object with arectanglefor a base and a triangular face corresponding to each side of the base. |
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| 7283. |
What is 20 written as a fraction? |
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Answer» Thus, the required fraction will be 20 / 1. A fraction is a ratio of numbers with an upper value denoting numerator and a lower one denoting denominator. |
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| 7284. |
What is 7 degrees Celsius in Fahrenheit? |
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Answer» Temperature at 7° Celsius is equal to the temperature at 44.6°Fahrenheit. To measuretemperaturewe use two different types of units or scales, namely,CelsiusandFahrenheit. |
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| 7285. |
Is the line y = 3x - 7 parallel or perpendicular to 3x + 9y = 9? |
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Answer» Is the line y = 3x - 7 parallel or perpendicular to 3x + 9y = 9? Solution: |
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| 7286. |
What is 10to the 5th power? |
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Answer» The value of 10 raised to the 5thpower is 100,000. The exponent of a number shows how many times the number is multiplied by itself. |
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| 7287. |
If you know that a person is running 100 feet every 12 seconds, you can determine their __________. |
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Answer» A person is running 100 feet every 12 seconds, we can determine their speed. We will use the concept of speed, distance, and time in order to find the required answer. |
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| 7288. |
Find the value of 10 to the power of negative 2? |
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Answer» The value of 10 to the power of negative 2 is 0.01 We will be usingthe concept of theexponentrulesfor the solution. |
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| 7289. |
Using the quadratic formula to solve x2+ 20 = 2x, what are the values of x? |
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Answer» x = [ 2±√76 i] / 2 are the solutions of the quadratic equationx2+ 20 = 2x. The quadratic formula is an effective way of solving quadratic equations especially when the splitting of the middle term is not feasible. |
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| 7290. |
What is 30% as a fraction? |
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Answer» 30% can be represented as 3/10 infractional form. A fractioncan be 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 numerator and a denominator. |
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| 7291. |
If sinθ = 3 over 7 and tanθ < 0, what is the value of cosθ? |
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Answer» If sin θ = 3 over 7 and tan θ < 0, what is the value of cos θ? Solution: |
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| 7292. |
1) 0 2) A2 3) A 4) B |
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Answer» If A = 1 and B = 0, the value of (A) (A+B) = A2and A Consider the expression, (A) (A+B) and substitute the values in the expression and we will choose the correct answers from the given options. |
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| 7293. |
Choose the right answer from the following | If A = 1 and B = 0, what is the value of (A) (A+B)? |
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Answer» If A = 1 and B = 0, the value of (A) (A+B) = A2and A Consider the expression, (A) (A+B) and substitute the values in the expression and we will choose the correct answers from the given options. |
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| 7294. |
For what values of a and b is the line 2x + y = b tangent to the parabola y = ax² when x = 5? |
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Answer» For what values of a and b is the line 2x + y = b tangent to the parabola y = ax² when x = 5? Solution: |
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| 7295. |
What is half of 1 and 3/4? |
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Answer» Half of 1 is expressed as 1/2 and the half of 3/4 is expressed as 3/8. The multiplication of fractions starts with the multiplication of the given numerators, followed by the multiplication of the denominators. |
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| 7296. |
Find the general solution of the given second-order differential equation. 3y'' + 2y' + y = 0 |
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Answer» Find the general solution of the given second-order differential equation. 3y'' + 2y' + y = 0 Solution: |
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| 7297. |
What is 30 degrees Celsius in Fahrenheit? |
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Answer» 30°Celsiusis equal to 86°Fahrenheit. The two different types of units that are used to measuretemperatureareCelsiusandFahrenheit. |
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| 7298. |
For what values of r does the function y = erxsatisfy the differential equation 2y'' + y' - y = 0. |
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Answer» The values of r that saisfies the differential equation2y'' + y' - y = 0 is1/ 2 or - 1. To find the values of r for the function f (x) =erx, we will use the chain rule of differentiation and the concept of the differential equation. |
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| 7299. |
If an object travels at five feet per second, how many feet does it travel in one hour? |
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Answer» If an object travels at five feet per second, then it travels 18000 feet in one hour. The speed generallyis defined as distance per unit of time. |
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| 7300. |
What is0.63 as a fraction? |
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Answer» 0.63 as a fraction is 63/100 We use fractions to write a part of a whole. |
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