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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.
| 7001. |
Use the arc length formula and the given information to find r. s = 16cm, θ = 48°; r = ? |
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Answer» Use the arc length formula and the given information to find r. s = 16cm, θ = 48°; r = ? Solution: |
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| 7002. |
What is 40 of 25? |
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Answer» 40 of 25is 1000. Multiplication, also known as repeated addition, isone of the four basic operations of arithmetic. |
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| 7003. |
What is the Completely Factored Form of 2x3+4x2- x? |
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Answer» The Completely Factored Form of 2x3+4x2- x isx[x - (-2 +√6)/2][x +(-2 -√6)/2]. We will be factorizing the given expression to answer this. |
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| 7004. |
What should be the next number in the following series? 3, 9, 27, 81, 243,…? |
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Answer» What should be the next number in the following series? 3, 9, 27, 81, 243,…? Solution: |
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| 7005. |
Find the point on the line y = 5x + 4 that is closest to the origin? |
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Answer» Find the point on the line y = 5x + 4 that is closest to the origin? Solution: |
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| 7006. |
How to write an equation of the line that passes through the given points? |
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Answer» The equation of a line passing through the points \((x_1, y_1)\) and \((x_2, y_2)\) is \(y - y_1= [(y_2- y_1) / (x_2- x_1)] [ (x- x_1) ]\) The general equation of a straight line can be written as y = mx + c where m is the slope and c is the y-intercept. |
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| 7007. |
Determine two pairs of polar coordinates for the point (4, -4) with 0° ≤ θ < 360° |
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Answer» Determine two pairs of polar coordinates for the point (4, -4) with 0° ≤ θ < 360° Solution: |
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| 7008. |
Find A ∩ B if A = {2, 5, 8, 11, 14} and B = {1, 3, 5, 7}. |
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Answer» Find A ∩ B if A = {2, 5, 8, 11, 14} and B = {1, 3, 5, 7}. Solution: |
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| 7009. |
What is the highest decimal value you can have for one byte? |
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Answer» 255is the highest decimal value you can have for one byte. Abyteconsists of 8 adjacent binary digits (bits), each of which consists of a 0 or 1. |
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| 7010. |
What is 100 written as a fraction? |
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Answer» Thus, the required fraction will be 100 / 1. A fraction is a ratio of numbers with an upper value denoting numerator and a lower one denoting denominator. |
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| 7011. |
What substitution should be used to rewrite 4x12 - 5x6 - 14 = 0 as a quadratic equation? u = x2,u = x3, u = x6, u = x12 |
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Answer» What substitution should be used to rewrite 4x12 - 5x6 - 14 = 0 as a quadratic equation? u = x2,u = x3, u = x6, u = x12 Solution: |
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| 7012. |
Find the slope of the line through the pair of points. A(2, -3), P(2, 9) |
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Answer» Find the slope of the line through the pair of points. A(2, -3), P(2, 9) Solution: |
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| 7013. |
Express3 divided by 5 as a fraction. |
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Answer» The value of
3 divided by 5 as a fraction is 3/ 5. To writea fraction in its simplest form meansthe numeratorand denominator can no longer be divided by the same whole number exactly or evenly. |
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| 7014. |
(a)Is every diameter of a circle also a chord? (b)Is every chord of a circle also a diameter? |
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Answer» (a) Yes, every diameter of a circle is also a chord. (b) No, every chord of a circle is not a diameter. Thediameterof a circle is a straight line joining a point from one end of the circle to a point on the other end of the circle, passing through the center. |
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| 7015. |
Find the exact length of the polar curve. r = θ2, 0 ≤ θ ≤ π? |
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Answer» Find the exact length of the polar curve. r = θ2, 0 ≤ θ ≤ π? Solution: |
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| 7016. |
Which is a factor of 28xy - 154x + 20y - 110? x - 4, 7x + 4, 7x - 11, 2y - 11 |
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Answer» Which is a factor of 28xy - 154x + 20y - 110? Solution: |
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| 7017. |
A line passes through the points (7, 10) and (7, 20). Which statement is true about the line? It has a slope of zero because in the formula it is zero, and the numerator of a fraction cannot be zero. It has a slope of zero because in the formula it is zero, and the denominator of a fraction cannot be zero. It has no slope because in the formula is zero, and the numerator of a fraction cannot be zero. It has no slope because in the formula is zero, and the denominator of a fraction cannot be zero. |
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Answer» A line passes through the points (7, 10) and (7, 20). Which statement is true about the line? Solution: |
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| 7018. |
A parabola has a vertex at (-1, 0) and opens down. What is the equation of the parabola? |
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Answer» A parabola has a vertex at (-1, 0) and opens down. What is the equation of the parabola? Solution: |
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| 7019. |
Which complex number will be plotted below the real axis and to the right of the imaginary axis? 2i − 5, 4 − i, 5 + i, -5i, -2 − i |
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Answer» Which complex number will be plotted below the real axis and to the right of the imaginary axis? 2i − 5, 4 − i, 5 + i, -5i, -2 − i Solution: |
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| 7020. |
Find the like terms in the expression y + 1.2y + 1.2z |
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Answer» Find the like terms in the expression y + 1.2y + 1.2z Solution: |
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| 7021. |
Three dice are tossed. What is the probability that the numbers shown will all be different? |
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Answer» Three dice are tossed. What is the probability that the numbers shown will all be different? Solution: |
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| 7022. |
What is the graph of g(x) = (0.5)x + 3 – 4? |
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Answer» The graph ofg(x) = (0.5)x + 3 – 4 is a straight line with slope = 1/2 and y-intercept = -1. Graphs are used to represent different equations in the cartesian planes in the form of curves. |
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| 7023. |
Find the volume of a hemisphere whose radius is 7 cm. (Given π= 22/7) |
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Answer» The volume of the hemisphere whose radius is 7 cm is 718. 6666 cubic cm. A hemisphere is one part of a sphere that is cut into two equal halves. |
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| 7024. |
Solve for the unknown number of years in each of the following: a) Principal amount = 500, Interest rate = 8%, Simple interest = 400, b) Principal amount = 100, Interest rate = 10%, Simple interest = 550. |
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Answer» ForPrincipal amount = 500, Interest rate = 8%, Simple interest = 400, The number of years is 10, and forPrincipal amount = 100, Interest rate = 10%, Simple interest = 550, the number of years is 55. Simple interest is very interesting concepts which have many practical applications in real life. Many of the money matters are solved using formulae related to this concept. Let's solve some problems so that you can be comfortable handling your money! |
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| 7025. |
How to find the height of an isosceles trapezoid given below,without the area? |
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Answer» The height of the given trapezoid is 4 units.
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| 7026. |
What number should be added to the expression x2+ 4x to change it into a perfect square trinomial? |
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Answer» What number should be added to the expression x2+ 4x to change it into a perfect square trinomial? Solution: |
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| 7027. |
Find three rational numbers between -2/5and -3/5 |
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Answer» Three rational numbers between -2/5and -3/5are - 9/20, -10/20, and -11/20. A rational numberis a numberthat can be expressed as the fraction p/q of two integers, a numerator p and a non-zero denominator q. |
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| 7028. |
Which shows the first step in the solution to the equation log2x + log2(x - 6) = 4? |
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Answer» Which shows the first step in the solution to the equation log2x + log2(x - 6) = 4? Solution: |
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| 7029. |
What is the Range of the given Function? {(-2, 0), (-4, -3), (2, -9), (0, 5), (-5, 7)} |
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Answer» What is the Range of the given Function? {(-2, 0), (-4, -3), (2, -9), (0, 5), (-5, 7)} Solution: |
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| 7030. |
Let f(x) = x - 2 and g(x) = x2 - 7x - 9. Find f(g(-1)) |
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Answer» Let f(x) = x - 2 and g(x) = x2- 7x - 9. Find f(g(-1)) Solution: |
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| 7031. |
Findthetype of graph of a function with the same zero(s) as the provided functions: a) x²+ 5x + 8, b) x³- 6x² + 11x - 6 |
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Answer» For the equation, x²+ 5x + 8, the graph is parabola which doesn't touch the x-axis, and for the equation, x³- 6x² + 11x -6, the graph cuts the x-axis at 3 points. Quadratic functions are those functions that have almost two zeroes and the highest order is two. They are used in various fields of engineering and science to find the values of different parameters. Cubic functions are those which have almost three zeroes. They are also used in many engineering applications. |
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| 7032. |
What is the positive solution of x2- 36 = 5x? |
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Answer» What is the positive solution of x2- 36 = 5x? Solution: |
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| 7033. |
The perimeter of a square is 36. What is the length of one of its sides? |
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Answer» The perimeter of a square is 36. What is the length of one of its sides? Solution: |
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| 7034. |
The measure of an exterior angle of a triangle is equal to the sum of the measure of the two__? |
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Answer» The measure of an exterior angle of a triangle is equal to the sum of the measure of the two interior opposite angles. A triangle is a 3 side polygonthat has3 interior angles. The angle that lies outside the triangle is called the exterior angle. |
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| 7035. |
A bank’s reserve ratio is 10 percent and the bank has $2,000 in deposits. Its reserves amount to |
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Answer» A bank’s reserve ratio is 10 percent and the bank has $2,000 in deposits. Its reserves amount to Solution: |
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| 7036. |
Solve x2 + 6x = 7 by completing the square. What is the solution set of the equation? |
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Answer» Solve x2 + 6x = 7 by completing the square. What is the solution set of the equation? Solution: |
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| 7037. |
What is 1 degree Celsius in Fahrenheit? |
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Answer» 1° Celsius is equivalent to 33.8° Fahrenheit. Fahrenheit and Celsiusare different types of units to measuretemperature. |
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| 7038. |
Find the value of i-1? |
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Answer» The value of i-1 = -i We’ll find the value i-1 by using by the value of i2 = -1 |
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| 7039. |
Select the correct answer from the choices given (13 + 4i) + n = 0 what is n? 0 1 -13 + 4i -13 - 4i |
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Answer» Select the correct answer from the choices given (13 + 4i) + n = 0 what is n? Solution: |
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| 7040. |
Derive the Equation of the Parabola with a Focus at (6, 2) and a Directrix of y = 1. |
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Answer» The equation of the parabola with a focus at (6, 2) and a directrix of y = 1isx2-12x -2y + 39= 0. We will be solving this by using the focus point and the directrix. |
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| 7041. |
What does6 × 5 × 4 × 3 × 2 × 1 mean? |
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Answer» 6 × 5 × 4 × 3 × 2 × 1 can be represented as 6! and its value is equal to 720. To understand what the above product means we need to know about factorials. |
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| 7042. |
(ii) Find polar coordinates (r, θ) of the point, where r < 0 and 0 ≤ θ < 2π. (2, -2). |
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Answer» i) Polar coordinates (r, θ) of the point, where r > 0 and 0 ≤ θ < 2π are (2√2, 7π / 4), ii) Polar coordinates (r, θ) of the point, where r < 0 and 0 ≤ θ < 2π (2, -2) are (-2√2, 3π / 4) The system which we have described to label points in a plane is known as theCartesian System. |
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| 7043. |
(i) Find polar coordinates (r, θ) of the point, where r > 0 and 0 ≤ θ < 2π. |
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Answer» i) Polar coordinates (r, θ) of the point, where r > 0 and 0 ≤ θ < 2π are (2√2, 7π / 4), ii) Polar coordinates (r, θ) of the point, where r < 0 and 0 ≤ θ < 2π (2, -2) are (-2√2, 3π / 4) The system which we have described to label points in a plane is known as theCartesian System. |
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| 7044. |
The Cartesian coordinates of a point are given: |
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Answer» i) Polar coordinates (r, θ) of the point, where r > 0 and 0 ≤ θ < 2π are (2√2, 7π / 4), ii) Polar coordinates (r, θ) of the point, where r < 0 and 0 ≤ θ < 2π (2, -2) are (-2√2, 3π / 4) The system which we have described to label points in a plane is known as theCartesian System. |
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| 7045. |
Find all values of x and y such that fx(x, y) = 0 and fy(x, y) = 0 simultaneously.f(x, y) = x2 + 4xy + y2-34x -32y + 38 |
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Answer» Find all values of x and y such that fx(x, y) = 0 and fy(x, y) = 0 simultaneously.f(x, y) = x2+ 4xy + y2-34x -32y + 38 Solution: |
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| 7046. |
What are the solutions of the equation x4 - 5x2 - 36 = 0? Use factoring to solve. |
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Answer» What are the solutions of the equation x4 - 5x2 - 36 = 0? Use factoring to solve. Solution: |
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| 7047. |
What are the coordinates of the turning point for the function f(x) = (x - 2)3 + 1? |
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Answer» What are the coordinates of the turning point for the function f(x) = (x - 2)3 + 1? Solution: |
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| 7048. |
What is the circumcenter of a triangle? |
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Answer» The circumcenter of a triangleis the intersectionpointof allthree perpendicular bisectors of thetriangle. Apolygonwith three vertices and three edges is called a triangle. |
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| 7049. |
What will be the equation of thecircle with a center at (–4, 9) and a diameter of 10 units? |
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Answer» What will be the equation of thecircle with a center at (–4, 9) and a diameter of 10 units? Solution: |
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| 7050. |
In the circle shown below, segment BD is a diameter and the measure of arc CB is 36°. What is the measure of ∠DBC? |
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Answer» In the circle shown below, segment BD is a diameter and the measure of arc CB is 36°. What is the measure of ∠DBC?
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