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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.
| 4451. |
Describe the graph of y = 3/4x - 12 as compared to the graph of y = 1/x |
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Answer» Describe the graph of y = 3/4x - 12 as compared to the graph of y = 1/x Solution: |
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| 4452. |
Factorise: 45x (x - 2)2+60x(x - 2)+20x |
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Answer» 45x (x - 2)2+60x(x - 2)+20x can be factorized as 5x (3x - 4) (3x - 4) An equation is in the form of ax2+ bx + c = 0. To solve this equation we will use properties and factors. |
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| 4453. |
An inequality is shown below: -np - 5 ≤ 4(c - 2). Which of the following solves for n? n ≥ - the quantity 4 times c minus 3 all over p n ≥ - the quantity 4 times c minus 13 all over p n ≤ - the quantity 4 times c minus 3 all over p n ≤ - the quantity 4 times c minus 13 all over p |
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Answer» An inequality is shown below: -np - 5 ≤ 4(c - 2). Which of the following solves for n? Solution: |
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| 4454. |
Name the property of equality that justifies this statement: if a = b, then b = a. |
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Answer» Name the property of equality that justifies this statement: if a = b, then b = a. Solution: |
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| 4455. |
Where are the x-intercepts for f(x) = 4 cos(2x - π) from x = 0 to x = 2π? |
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Answer» Where are the x-intercepts for f(x) = 4 cos(2x - π) from x = 0 to x = 2π? Solution: |
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| 4456. |
What is the discriminant of quadratic equation x2 + 11x + 121 = x + 96? |
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Answer» What is the discriminant of quadratic equation x2 + 11x + 121 = x + 96? Solution: |
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| 4457. |
Evaluate (a + b)2 for a = 2 and b = 3. |
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Answer» Evaluate (a + b)2 for a = 2 and b = 3. Solution: |
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| 4458. |
If sin(x) = 1/2, what is cos(x) and tan(x)? Explain your steps in complete sentences |
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Answer» If sin(x) = 1/2, what is cos(x) and tan(x)? Explain your steps in complete sentences Solution: |
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| 4459. |
What is a proportional relationship in math? |
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Answer» If one variable is always equal to a constant multiplied bythe other variable(quantity), then we can say that those variables are in a proportional relationship. The proportion helps us to find howone quantity varies with the other. |
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| 4460. |
If 8 = x and x = y, then 8 = y is an example of which algebraic property? Symmetric Property. Transitive Property. Reflexive Property. Commutative Property of Multiplication. |
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Answer» If 8 = x and x = y, then 8 = y is an example of which algebraic property? Solution: |
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| 4461. |
How Many Inches is 10 cm? |
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Answer» 10 cms is equal to 3.93700787 inches Inches and Centimeters are units of measurement. |
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| 4462. |
How many Teaspoons are in a Tablespoon? |
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Answer» 1 tablespoon is 3 teaspoons. In recipes and food catalogs, an abbreviation like tbsp. It is commonly used to refer to a tablespoon, to differentiate it from a teaspoon (tsp.). |
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| 4463. |
A die is rolled 360 times. Find the standard deviation for the number of 3s that will be rolled. |
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Answer» A die is rolled 360 times. Find the standard deviation for the number of 3s that will be rolled. Solution: |
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| 4464. |
Find the general solution of the given differential equation. ydx − 6(x + y8) dy = 0 |
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Answer» Find the general solution of the given differential equation. ydx − 6(x + y8)dy = 0 Solution: |
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| 4465. |
How does finding the square root of a number compared to finding the cube root of a number? Use the number 64 in your explanation. |
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Answer» How does finding the square root of a number compared to finding the cube root of a number? Use the number 64 in your explanation. Solution: |
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| 4466. |
How to find base and height of a triangle with only area? |
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Answer» If area and base are given: height = 2A/ b = (2× Area) / base.If area and heightare given: base = 2A/ h= (2× Area) / height The area of a triangle is the amount of space enclosed between the sides of the triangle. |
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| 4467. |
How do you integrate cos2x by integration by parts method? |
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Answer» cos2x by integration by parts method gives 1/2 ( cos x× sin x ) + x/2 + C Integration by parts is a method used for integrating the functions in multiplication. To integrate∫cos2x, we will write cos2x = cos x× cos x. |
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| 4468. |
Consider the quadratic function f(x) = x2 - 8x - 4. What is the value of the leading coefficient? |
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Answer» Consider the quadratic function f(x) = x2- 8x - 4. What is the value of the leading coefficient? Solution: |
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| 4469. |
What is true about the function h(x) = x2 + 20x - 17? Check all that apply. The vertex of h is (-10, -117). The vertex form of the function is h(x) = (x - 20)2 - 17. The maximum value of the function is -17. To graph the function h, shift the graph of f(x) = x2 left 10 units and down 117 units. The axis of symmetry of function h is x = 20. |
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Answer» What is true about the function h(x) = x2+ 20x - 17? Check all that apply. Solution: |
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| 4470. |
What is10 of 10? |
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Answer» 10 of 10is 100. Multiplication, also known as repeated addition, isone of the four basic operations of arithmetic. |
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| 4471. |
What are the values of x in the equation 4x2 + 4x -3 = 0? x = -1.5, 0.5 x = -1.5, -0.5 x = (-4 ± √-32)/8 x = (-4 ± √-64)/8 |
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Answer» What are the values of x in the equation 4x2+ 4x -3 = 0? Solution: |
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| 4472. |
180 degrees Cequals what in F? |
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Answer» 180° Celsius is equal to 356° Fahrenheit. The two different types of units or scales to measure temperature are Celsius and Fahrenheit. |
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| 4473. |
Find two positive numbers such that the sum of the first and twice the second is 100 and their product is as large as possible? |
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Answer» Find two positive numbers such that the sum of the first and twice the second is 100 and their product is as large as possible? Solution: |
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| 4474. |
What is 10% of 500? |
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Answer» 10% of 500 is 50. A percentis a ratio of a number expressed out of100. |
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| 4475. |
What is1/3of 100? |
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Answer» 1/3 of 100is 100/3 or 33⅓. Themultiplication of fractionsstarts with the multiplication of the given numerators, followed by the multiplication of the denominators. |
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| 4476. |
What is 100 degrees Celsius in Fahrenheit? |
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Answer» 100° Celsius is equal to 212° Fahrenheit. The two different types of units or scales to measure temperature are Celsius and Fahrenheit. |
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| 4477. |
40 degrees Celsius is what in Fahrenheit? |
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Answer» 40° Celsius is equal to 104° Fahrenheit. The two different types of units or scales to measure temperature are Celsius and Fahrenheit. |
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| 4478. |
What is15 of 70? |
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Answer» 15of70is 1050. Multiplication, also known as repeated addition, isone of the four basic operations of arithmetic. |
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| 4479. |
What is 20percent of 50? |
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Answer» 20percent of 50 is 10. A percentis a ratio of a number expressed out of100. |
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| 4480. |
How much is the value of 2 to the power of 24? |
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Answer» How much is the value of 2 to the power of 24? Solution: |
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| 4481. |
What is the HCF of 135and 225 by prime factorization? |
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Answer» HCF of 135 and 225 is 45 HCF (Highest Common Factor) of two or more numbers is the largest possible number that divides the given numbers leaving theremainder 0 |
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| 4482. |
What is15 of 15? |
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Answer» 15of15 is 225. Multiplication, also known as repeated addition, isone of the four basic operations of arithmetic. |
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| 4483. |
What is 5% of 20? |
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Answer» 5% of 20 is 1. A percentis a ratio of a number expressed out of100. |
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| 4484. |
Find the equation y = a + bx of the least squares line that best fits the given data points using any method. (2, 3), (3, 2), (5, 1), (6, 0). |
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Answer» Find the equation y = a + bx of the least squares line that best fits the given data points using any method. (2, 3), (3, 2), (5, 1), (6, 0). Solution: |
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| 4485. |
What is 4degrees Celsius in Fahrenheit? |
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Answer» 4°Celsiusis equal to 39.2°Fahrenheit. The two different types of units or scales to measure temperature are Celsius and Fahrenheit. |
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| 4486. |
What is 20% of 80? |
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Answer» 20% of 80 is 16. A percentis a ratio of a number expressed out of100. |
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| 4487. |
What is 10% of 8? |
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Answer» 10% of 8 is 4/5 as a fraction and0.8 as a decimal. A percentis a ratio of a number expressed out of100. |
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| 4488. |
Find the angle between the diagonal of a cube and the diagonal of one of its faces. |
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Answer» Find the angle between the diagonal of a cube and the diagonal of one of its faces. Solution: |
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| 4489. |
What is a negative plus a positive? |
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Answer» Negative pluspositive is negative or positive depending on the magnitude of numbers. The knowledge of positive numbers and negative numbers is useful for theaddition and subtraction of integers. |
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| 4490. |
How can 2x2 = x2 + 4x + 8 be set up as a system of equations? |
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Answer» How can 2x2= x2+ 4x + 8 be set up as a system of equations? Solution: |
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| 4491. |
What is the value of 4p - 2, when p = 8? |
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Answer» What is the value of 4p - 2, when p = 8? Solution: |
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| 4492. |
What is 10% of 40? |
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Answer» 10% of 40 is 4. A percentis a ratio of a number expressed out of100. |
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| 4493. |
A rectangle has its base on x-axis and its upper two vertices on the parabola y= 12 - x2. What is the largest area of rectangle? |
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Answer» A rectangle has its base on x-axis and its upper two vertices on the parabola y= 12 - x2. What is the largest area of rectangle? Solution: |
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| 4494. |
What is 30% of 20? |
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Answer» 30% of 20 is 6. A percentis a ratio of a number expressed out of100. |
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| 4495. |
What is 10% of 5000? |
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Answer» 10% of 5000 is 500. A percentis a ratio of a number expressed out of100. |
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| 4496. |
What is 30% of 400? |
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Answer» 30% of 400 is 120. A percentis a ratio of a number expressed out of100. |
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| 4497. |
What is 25% of 1200? |
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Answer» 25% of 1200 is 300. A percentis a ratio of a number expressed out of100. |
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| 4498. |
What is 32degrees Fahrenheit in Celsius? |
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Answer» 32degrees Fahrenheit is equal to 0 degrees Celsius. The two different types of units or scales CelsiusandFahrenheit are used formeasuringtemperature. |
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| 4499. |
What is 20% of 2000? |
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Answer» 20% of 2000 is 400. A percentis a ratio of a number expressed out of100. |
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| 4500. |
What is 80degrees Fahrenheit in Celsius? |
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Answer» 80 degrees Fahrenheit is equal to 26.67 degrees Celsius. The two different types of units or scales CelsiusandFahrenheit are used formeasuringtemperature. |
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