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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.
| 4901. |
Find the equation of the horizontal line passing through the point (-5, 3). |
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Answer» Find the equation of the horizontal line passing through the point (-5, 3). Solution: |
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| 4902. |
Given that g(x) = 4x + 6, find the value of x that makes g(x) = 14. |
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Answer» Given that g(x) = 4x + 6, find the value of x that makes g(x) = 14. Solution: |
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| 4903. |
What is the simplified expression for 4 power 4 multiplied by 4 power 3 over 4 power 5? |
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Answer» What is the simplified expression for 4 power 4 multiplied by 4 power 3 over 4 power 5? Solution: |
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| 4904. |
Differentiatey = ex(1 + x) |
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Answer» Differentiation of y = ex(1 + x) isdy / dx = ex (2 + x) We will use the concept of differentiation in order to find the value of dy / dx. |
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| 4905. |
What is .16 as aFraction? |
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Answer» 0.16 as a fraction is equal to 4/25. There are six primary kinds of mixed fractions, like fractions—proper fractions and so on. |
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| 4906. |
In how many ways can 4 people sit next to each other in a movie theater row? |
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Answer» In how many ways can 4 people sit next to each other in a movie theater row? Solution: |
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| 4907. |
Find the points on the conez2=x2+y2that are closest to the point(6, 2, 0)? |
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Answer» Find the points on the conez2=x2+y2that are closest to the point(6, 2, 0)? Solution: |
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| 4908. |
Find the exact values of the six trigonometric ratios of the angle θ in the triangle? |
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Answer» Find the exact values of the six trigonometric ratios of the angle θ in the triangle?
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| 4909. |
What's the product of 3 2/3 and 14 2/5 ? |
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Answer» What's the product of 3 2/3 and 14 2/5 ? Solution: |
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| 4910. |
Find the First Two Derivatives of 2 sinx cosx. |
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Answer» The first two derivatives of 2 sinx cosx are2cos(2x) and -4sin(2x) respectively The derivative of a function is represented by or f ‘(x). It means that the function is the derivative of y with respect to the variable x. It is calculated using the method of differentiation. |
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| 4911. |
What are the x- and y-intercepts of the graph of y = x2- 10x + 21? |
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Answer» What are the x- and y-intercepts of the graph of y = x2- 10x + 21? Solution: |
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| 4912. |
What is the value of the discriminant for the quadratic equation 0 = x + 2 + x2? |
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Answer» What is the value of the discriminant for the quadratic equation 0 = x + 2 + x2? Solution: |
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| 4913. |
Find the value of cos 15 using cos (A - B) identity. |
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Answer» The value of cos 15° = (√3+1)/2√2 We can find the value of cos 15° using cos (A - B) identity. |
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| 4914. |
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 5 cos3θ |
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Answer» Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 5 cos3θ Solution: |
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| 4915. |
Which statement is true about the product square root of 2(3square root of 2 + square root of 18)? It is rational and equal to 12. It is rational and equal to 18. It is irrational and equal to 6 + 2 square root of 2. It is irrational and equal to 3 + square root of 8. |
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Answer» Which statement is true about the product square root of 2(3square root of 2 + square root of 18)? Solution: |
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| 4916. |
Solve for x: 1 over 3 (2x - 8) = 4. |
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Answer» Solve for x: 1 over 3 (2x - 8) = 4. Solution: |
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| 4917. |
What is the vertex of the parabola whose equation is y = (x + 1)2 + 3? |
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Answer» What is the vertex of the parabola whose equation is y = (x+1)2+ 3? Solution: |
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| 4918. |
What is the simplified form of 1 over x minus 2 over x squared minus x? |
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Answer» What is the simplified form of 1 over x minus 2 over x squared minus x ? Solution: |
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| 4919. |
If g(x) = x2 + 2, find g(3). |
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Answer» If g(x) = x2+ 2, find g(3). Solution: |
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| 4920. |
Identify the vertex and the axis of symmetry of the graph of the function y = 2(x+2)2-4 |
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Answer» Identify the vertex and the axis of symmetry of the graph of the function y = 2(x+2)2-4 Solution: |
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| 4921. |
Define 1 : 1 ratio. |
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Answer» 1 : 1 ratio means when two quantities are measured or expressed in the same proportion. A ratio is defined as a comparison of two quantities. The general form of representing a ratio between two quantities say 'a' and 'b' is a: b,which is read as 'a is to b'. |
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| 4922. |
What is half of 50? |
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Answer» Half of 50is 25. Themultiplication of fractionsstarts with the multiplication of the given numerators, followed by the multiplication of the denominators. |
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| 4923. |
What is 15% of 60? |
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Answer» 15% of 60 is 9. A percentis a ratio of a number expressed out of100. |
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| 4924. |
The circumference of a circle is 60π cm. What is the length of an arc of 140°? |
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Answer» The circumference of a circle is 60π cm. What is the length of an arc of 140°? Solution: |
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| 4925. |
The value π/12 is a solution to the equation 2 cos2 (4x) - 1 = 0. True or false? |
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Answer» False An equation involving trigonometric ratios of an angle is called a trigonometric identity. |
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| 4926. |
Consider the parametric equations below. x = t2, y = t7. Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases. |
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Answer» Consider the parametric equations below. x = t2, y = t7 Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases. Solution: |
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| 4927. |
Solve x2 - 4x - 9 = 29 for x. |
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Answer» Solve x2 - 4x - 9 = 29 for x. Solution: |
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| 4928. |
If tan x° = √3 and cos x° = 1/2, what is the value of sin x°? |
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Answer» If tan x° = √3 and cos x° = 1/2, then the value of sin x° =√3/2 We will use the concept of trigonometry in order to find the value ofsin x°. |
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| 4929. |
Find the points on the surface y2 = 16 + xz that are closest to the origin. Smaller y value:Larger y value: |
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Answer» Find the points on the surface y2= 16 + xz that are closest to the origin. Solution: |
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| 4930. |
A rectangle has a length of 10 ft. and a width of 6 ft. What's the perimeter? |
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Answer» A rectangle has a length of 10 ft. and a width of 6 ft. What's the perimeter? Solution: |
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| 4931. |
Given the function f(x) = 2x, find the value of f-1(32). |
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Answer» Given the function f(x) = 2x, find the value of f-1(32). Solution: |
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| 4932. |
How many solutions exist for the given equation? 12x + 1 = 3(4x + 1) - 2 |
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Answer» How many solutions exist for the given equation? 12x + 1 = 3(4x + 1) - 2 Solution: |
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| 4933. |
What is the solution to the equation 3x + 2(x - 9) = 8x + x - 14? |
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Answer» What is the solution to the equation 3x + 2(x - 9) = 8x + x - 14? Solution: |
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| 4934. |
In a college of 300 students, every student reads 5 newspapers, and 60 students read every newspaper. The number of newspapers is ___. |
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Answer» In a college of 300 students, every student reads 5 newspapers, and 60 students read every newspaper. The number of newspapers is 60 Unitary method is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit. |
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| 4935. |
Find the remainder when \(32^{32^{32}}\)is divided by 7. |
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Answer» The remainder when\(32^{32^{32}}\) is divided by 7 is 4. We'll use the divisibility rule of 7 and binomial expansion to solve thisproblem. |
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| 4936. |
What is 2/3of 24? |
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Answer» 2/3of 24 is 16 Themultiplication of fractionsstarts with the multiplication of the given numerators, followed by the multiplication of the denominators. |
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| 4937. |
What is the Circumference of a Circle When the Diameter is 18? |
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Answer» The circumference of the circle when the diameter is 18 is 56.52 units. If the diameter is given, let us see how to calculate the circumference of the circle. |
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| 4938. |
What is the name of the shape with 6 sides? |
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Answer» What is the name of the shape with 6 sides? Solution: |
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| 4939. |
Evaluate the function f(x) = –2x2– 3x + 5 for the input value –3. |
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Answer» If f(x) = -x2-3x + 5, then the value of f(-3)is -4. We will use the concept of functions to solve the given problem. |
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| 4940. |
A number is divisible by 3 if the sum of its digits is divisible by 3? |
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Answer» Yes, anumber is divisible by 3 if the sum of its digits is divisible by 3. We will apply the divisibilityrule of 3forfinding the solution. |
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| 4941. |
If the random variable x is uniformly distributed between 40 and 60, then, calculate p(35 < x < 45)? |
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Answer» If the random variable x is uniformly distributed between 40 and 60, then, calculate p(35 < x < 45)? Solution: |
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| 4942. |
Solve: (tanx − sin x sin y)dx + cos x cos y dy = 0 |
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Answer» The solution of (tanx − sin x sin y)dx + cos x cos y dy = 0 is[(cos x) (sin y)] - ln(cos x) = C We will be using trigonometric identities and integration to solve this. |
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| 4943. |
Which of the following is a conjugate for -10 + 3i? 10 - 3i, -10 - 3i, 10 + 3i, None of the above |
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Answer» Which of the following is a conjugate for -10 + 3i? Solution: |
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| 4944. |
First make a substitution and then use integration by parts to evaluate the integral. \(\int_{0}^{π}e^{cost} sin 2t dt.\) |
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Answer» First make a substitution and then use integration by parts to evaluate the integral. \(\int_{a}^{b}ecostsin 2t dt.\) Solution: |
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| 4945. |
Evaluatei to the power of 4. |
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Answer» The value of i to the power of 4is equal to i4 = 1. 'i' also known as 'iota' is defined as the square root of negative 1. It is used to represent a complex number. |
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| 4946. |
Write an equation of a circle with the given center and radius center (-7, -6) and radius 2 |
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Answer» Write an equation of a circle with the given center and radius center (-7, -6) and radius 2 Solution: |
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| 4947. |
What is the end behavior of the function f(x) = x3+ 2x2 + 4x + 5? |
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Answer» What is the end behavior of the function f(x) = x3+ 2x2 + 4x + 5? Solution: |
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| 4948. |
Show that: sinA/ (sec A + tan A - 1) + cos A / (cosec A + cot A - 1) = 1. |
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Answer» Show that: sinA/ (sec A + tan A - 1) + cos A / (cosec A + cot A - 1) = 1. Solution: |
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| 4949. |
Which is the graph of the function f(x) = x2+ 2x + 3? |
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Answer» Which is the graph of the function f(x) = x2+ 2x + 3? Solution: |
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| 4950. |
If a + b + c + d = 4 then find the value of 1/(1-a)(1-b)(1-c) + 1/(1-b)(1-c)(1-d) + 1/(1-c)(1-d)(1-a) + 1/(1-d)(1-b)(1-a). |
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Answer» If a + b + c + d = 4, the value of 1/(1-a)(1-b)(1-c) + 1/(1-b)(1-c)(1-d) + 1/(1-c)(1-d)(1-a) + 1/(1-d)(1-b)(1-a) is 0 We need to reduce the given expression and then add the value of (a + b + c + d) |
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