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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.
| 6401. |
What are the zeros of the polynomial function f(x) = x3- 9x2+ 20x? |
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Answer» What are the zeros of the polynomial function f(x) = x3- 9x2+ 20x? Solution: |
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| 6402. |
What is a lemma? |
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Answer» Alemma is a proven statement, used to prove other statements. Lemma and theorem are two different concepts in mathematics and cannot be termed the same. |
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| 6403. |
Determine the solution set of (3x + 1)2 - 100 = 0. |
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Answer» Determine the solution set of (3x + 1)2- 100 = 0. Solution: |
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| 6404. |
Solve and graph the absolute value inequality: |4x + 1| ≤ 5. |
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Answer» Solve and graph the absolute value inequality: |4x + 1| ≤ 5. Solution: |
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| 6405. |
The diameter of the base of the cone measures 8 units. The height measures 6 units. What is the volume of the cone? |
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Answer» The diameter of the base of the cone measures 8 units. The height measures 6 units. What is the volume of the cone? Solution: |
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| 6406. |
What is the area of a square computer screen with 21-in sides? |
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Answer» What is the area of a square computer screen with 21-in sides? Solution: |
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| 6407. |
How many centimeters in an inch on a 12-inch ruler? |
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Answer» There are 30 centimeters displayed on a 12-inch ruler. A centimeter is aunit of themetric systemthat is used to measure length. |
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| 6408. |
Find the dimensions of a rectangle with a perimeter 108m whose area is as large as possible. |
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Answer» Find the dimensions of a rectangle with a perimeter 108m whose area is as large as possible. Solution: |
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| 6409. |
If a and b are independent events with p(a) = 0.05 and p(b) = 0.65, then p(a | b) =? |
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Answer» If a and b are independent events with p(a) = 0.05 and p(b) = 0.65, then p(a | b) =? Solution: |
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| 6410. |
Find the least number which when divided by 6, 15, and 18, leaves a remainder of 5 in each case. |
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Answer» 95 is the least number which when divided by 6, 15, and 18 leaves a remainder of 5 in each case. LCMis thesmallest positive number that is a multiple of two or more numbers. |
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| 6411. |
What is the derivative of sin2(x)? |
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Answer» The derivative of sin2(x) = 2sin(x)cos(x). We’ll solve this derivative using the product rule of differentiation. |
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| 6412. |
How to express 4to the power of 2? |
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Answer» 4to the power of 2can be expressed as 42= 4× 4= 16 The power in exponents is defined as the total number of times the number is multiplied by itself.For example, 2 to the power 3 means 2 is multiplied 3 times. |
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| 6413. |
How many faces, edges, and vertices are in an octagonal prism? |
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Answer» An octagonal prism has 10 faces, 24 edges, and 16 vertices. Anoctagonal prismis a three-dimensional polyhedronbounded by 2octagonalbases and 8 rectangular sides. |
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| 6414. |
Use this equation to find dy/dx:9y cos (x) = x2 + y2 |
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Answer» The differential of the equation 9y cos (x) = x2 + y2, with respect to xis dy/dx = (9ysin x + 2x) / (9cos x - 2y). We can make use of uv (product rule) method of differentiationto solve the given question. |
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| 6415. |
If xy = 144, x + y = 30, and x > y. What is the value of x - y? |
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Answer» If xy = 144, x + y = 30, and x > y. What is the value of x - y? Solution: |
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| 6416. |
Find the point (x, y) on the unit circle that corresponds to the real number t = 2π/3 |
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Answer» Find the point (x, y) on the unit circle that corresponds to the real number t = 2π/3 Solution: |
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| 6417. |
Simplify (3x2 - 3 + 9x3) - (4x3 - 2x2 + 16). |
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Answer» Simplify (3x2 - 3 + 9x3) - (4x3 - 2x2 + 16). Solution: |
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| 6418. |
Determine the intervals on which the function is increasing decreasing and constant for the given graph. |
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Answer» The intervals on which the function is increasing and decreasing are(-∞,3] and[3,∞) respectively. Also,there is no interval where the function is constant.
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| 6419. |
Using the graph of f(x) = log10x below, approximate the value of y in the equation 10y = 4. Log base 10 graph |
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Answer» Using the graph of f(x) = log10x below, approximate the value of y in the equation 10y = 4. Log base 10 graph Solution: |
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| 6420. |
A regular polygon has 15 sides. Which is a possible angle of rotational symmetry for the figure? |
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Answer» A regular polygon has 15 sides. Which is a possible angle of rotational symmetry for the figure? Solution: |
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| 6421. |
What is 10to the 4th power? |
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Answer» The value of 10 raised to the 4thpower is 10,000. The exponentor power of a number shows how many times the number is multiplied by itself. |
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| 6422. |
What is the slope of a line passing through (3, 4) and (5, 8)? |
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Answer» What is the slope of a line passing through (3, 4) and (5, 8)? Solution: |
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| 6423. |
What is 4 to the second power? |
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Answer» The value of 4 to the second power is 16. The exponentor power of a number shows how many times the number is multiplied by itself. |
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| 6424. |
The dimensions of a cuboid are in the ratio 5:2:1. Its volume is 1250 cubic meters. Find the total surface area of the cuboid. |
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Answer» If the dimensions of a cuboid are in the ratio 5:2:1 and its volume is 1250 cubic meters, the total surface area of the cuboid is 850 sq.m. A cuboid is a three-dimensional figure. |
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| 6425. |
If f(x) + x2[f(x)]4 = 18 and f(1) = 2, find f'(1) |
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Answer» If f(x) + x2[f(x)]4 = 18 and f(1) = 2, f'(1) = -32 / 33. Functions form the backbone of many topics like calculus and algebra.Let's solve a problem related to functions. |
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| 6426. |
Find the slope of the curve at the indicated point. Let us consider the curve as x2 + y3 = 4 and the indicated point is (2, 5). |
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Answer» The slope of the curvex2 + y3 = 4 is-4/75 at the indicated point (2, 5) We will use the concept of differentiation to find the slope of the curve. |
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| 6427. |
What is the area of a sector with a central angle of 160 degrees and a diameter of 5.8m? |
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Answer» What is the area of a sector with a central angle of 160 degrees and a diameter of 5.8m? Solution: |
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| 6428. |
6 out of 8 is what percent? |
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Answer» 6 out of 8 can be expressed as 75%. Converting afractionto percent means expressing the fraction in terms of 100. |
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| 6429. |
If 3x2+ 2xy + y2= 2, then the value of dy/dx at x = 1 is? |
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Answer» Thedifferentiation of the expression3x2+ 2xy + y2= 2at x = 1 is not defined. Implicit differentiation means differentiating or finding the derivativewith respect to one of the variables and keeping others as constants. |
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| 6430. |
How to determine the x-intercept and the y-intercept of a line on a graph? |
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Answer» The x-intercept and y-intercept are those points in a graph at which a line or a curve intersects the x-axis and y-axis respectively. An intercept is the point of intersection of the line with the coordinate of x and y axes. |
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| 6431. |
If TRAP is an isosceles trapezoid, what is the value of x? |
| Answer» In the isosceles trapezoid TRAP, the value of x is 28. | |
| 6432. |
Factor -8x3- 2x2- 12x - 3 by grouping. What is the resulting expression? |
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Answer» Factor -8x3- 2x2- 12x - 3 by grouping. What is the resulting expression? Solution: |
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| 6433. |
What is 9/20 as a percent? |
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Answer» 9/20 as a percent is expressed as 45% Percentage is a fraction orratio in which the value of the whole is always 100. |
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| 6434. |
What is 70 degrees Celsius in Fahrenheit? |
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Answer» 70degrees Celsius is equal to 158degrees Fahrenheit. The two different types of units that are used formeasuringtemperature are CelsiusandFahrenheit. |
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| 6435. |
What is 100degrees Fahrenheit in Celsius? |
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Answer» 100 degrees Fahrenheit is equal to 37.78 degrees Celsius. The two different types of units that are used formeasuringtemperature are CelsiusandFahrenheit. |
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| 6436. |
Can the numbers 24, 32, and 40 make a right triangle? |
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Answer» Yes, the numbers 24, 32, and 40 can make a right triangle. We will be using thePythagoras theorem to solve this. |
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| 6437. |
What is 10 degrees centigrade in Fahrenheit? |
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Answer» 10° Centigrade is equal to 50°Fahrenheit. The two different types of units used to measuretemperatureareCelsiusandFahrenheit.Celsius and Centigrade are two names for essentially the same temperature scale. |
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| 6438. |
Find the area of a regular hexagon with the given measurement. 6-inch radius A = sq. in. |
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Answer» Find the area of a regular hexagon with the given measurement. 6-inch radius A = sq. in. Solution: |
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| 6439. |
Is there a number that is exactly 5 more than its cube? |
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Answer» Yes,there is a number that is exactly 5 more than its cube. When we multiply a number three times by itself, the resultant number is known as the cube of the original number. |
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| 6440. |
How can one half x - 5 = one third x + 6 be set up as a system of equations? |
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Answer» How can one half x - 5 = one third x + 6 be set up as a system of equations? Solution: |
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| 6441. |
Find 3x2 - y3 - y3 - z if x = 3, y = -2, and z = -5? |
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Answer» Find 3x2 - y3 - y3 - z if x = 3, y = -2, and z = -5? Solution: |
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| 6442. |
A runner taking part in the 200m dash must run around the end of a track at what time if he is running at an average speed 20 meters/sec. |
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Answer» The runner will take 10 seconds in order to run 200m around the end of the track if he is running at an average speed of 20 meters/sec. We will use the concept of speed, distance, and time in order to find the time taken by the runner. |
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| 6443. |
What is the prime factorization of 90? |
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Answer» What is the prime factorization of 90? Solution: |
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| 6444. |
What is the base unit of length in the metric system? |
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Answer» Meter is thebaseunit of length in the metric system. Measuring length means measuring the length of any object with the help of measuring tools like scale, tape, etc. |
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| 6445. |
How to express a repeating decimal number as a ratio of integers? |
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Answer» To express a repeating decimals number as a ratio of integers we follow certain steps. The non-terminating but repeating decimal expansion means that although the decimal representation has an infinite number of digits, there is a repetitive pattern to it. |
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| 6446. |
What are the solutions to m2- 9 = 0? m = -9 and m = 0, m = -3 and m = 3, m = -3, m = 9 |
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Answer» What are the solutions to m2- 9 = 0? m = -9 and m = 0, m = -3 and m = 3, m = -3, m = 9 Solution: |
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| 6447. |
How to convert meters per second to kilometers per hour? |
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Answer» To convert meter per second to kilometer per hour we multiply the given number by 18/5. Meters per second can be easily converted into kilometers per hour using a conversion factor. |
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| 6448. |
Write the Inequality for the product of a number and 8 is at least 25. |
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Answer» The inequality for the product of a number(Z) and 8 is at least 25 isZ≥ 25/8. We will be using the concept of inequalities to solve this. |
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| 6449. |
Find the points on the surface y2 = 49 + xz that are closest to the origin. |
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Answer» Find the points on the surface y2= 49 + xz that are closest to the origin. Solution: |
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| 6450. |
Choose the correct option: For a uniform probability density function, the height of the function is ___? a. Is different for various values of xb. Decreases as x increases c. Cannot be larger than 1 d. Is the same for each value of x |
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Answer» Choose the correct option: For a uniform probability density function, the height of the function is ___? a. Is different for various values of xb. Decreases as x increases c. Cannot be larger than 1 d. Is the same for each value of x Solution: |
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