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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.
| 5251. |
If 5x - 13 = 3x + 3, what is the value of x? |
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Answer» If 5x - 13 = 3x + 3, what is the value of x? Solution: |
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| 5252. |
A camera costs $940. If the sales tax rate is 4%, what is the total price? |
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Answer» A camera costs $940. If the sales tax rate is 4%, what is the total price? Solution: |
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| 5253. |
How much will you save if you buy an item listed at $175.50 at a 35 percent discount? |
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Answer» How much will you save if you buy an item listed at $175.50 at a 35 percent discount? Solution: |
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| 5254. |
What is the decimal for 1/3? |
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Answer» 0.333… is the decimal for 1/3. The division of 1 by 3 results in a non-terminating decimal number. |
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| 5255. |
The diagonal of rectangle ABCD measures 2 inches in length. What is the length of line segment AB? 1 inch,(sqr root) 3 inches,4 inches,(sqr root) 4/3 inches |
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Answer» The diagonal of rectangle ABCD measures 2 inches in length. What is the length of line segment AB?
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| 5256. |
An item, which is regularly $4.60, is on sale for one-fourth off. What is the sale price? |
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Answer» An item, which is regularly $4.60, is on sale for one-fourth off. What is the sale price? Solution: |
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| 5257. |
Find cot θ if csc θ = square root of seventeen divided by four and tan θ > 0? |
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Answer» Find cot θ if csc θ = square root of seventeen divided by four and tan θ > 0? Solution: |
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| 5258. |
Multiply 5x2(2x2 + 13x - 5). 10x4 + 65x3− 25x2,10x2 + 65x − 25,7x2 + 18x − 10,7x4 + 18x3 − 10x2 |
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Answer» Multiply 5x2(2x2+ 13x - 5). Solution: |
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| 5259. |
Write a polynomial equation of degree 3 such that two of its roots are 2 and an imaginary number. |
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Answer» Write a polynomial equation of degree 3 such that two of its roots are 2 and an imaginary number. Solution: |
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| 5260. |
What is the slope of a line perpendicular to the line whose equation is y = 2x + 5? |
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Answer» What is the slope of a line perpendicular to the line whose equation is y = 2x + 5? Solution: |
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| 5261. |
A cinema seats 280 people. if 98 people are in the cinema, what percentage of the seats are filled? |
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Answer» A cinema seats 280 people. if 98 people are in the cinema, what percentage of the seats are filled? Solution: |
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| 5262. |
If the discriminant of an equation is negative, which of the following is true of the equation. |
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Answer» If the discriminant of an equation is negative, which of the following is true of the equation. Solution: |
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| 5263. |
If the tangent line to y = f(x) at (7, 6) passes through the point (0, 5), find f(7) and f'(7). |
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Answer» If the tangent line to y = f(x) at (7, 6) passes through the point (0, 5), find f(7) and f'(7). Solution: |
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| 5264. |
How to find the surface area of a sphere with the volume? |
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Answer» To calculate the surface area of the sphere with the volume, we use the formula: S = (π)1/3 × (6V)2/3. Volume is the space inside the sphere while the surface area is the total outside area of the sphere. |
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| 5265. |
A general formula for a parabola is x2 = 4py. What is the value of p in the equation x2 = 12y? |
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Answer» A general formula for a parabola is x²= 4py. What is the value of p in the equation x²= 12y? Solution: |
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| 5266. |
Find the interest due on $1,090 at 8% for 5 years. |
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Answer» Find the interest due on $1,090 at 8% for 5 years. Solution: |
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| 5267. |
Anumber that has more than two factors is a ____ |
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Answer» A number with more than two factors is called a composite number. Example: 4, 20,15, etc. Numbers that have more than two factors are known as composite numbers. |
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| 5268. |
A soccer team played 160 games and won 65 percent of them. How many games did it win? |
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Answer» A soccer team played 160 games and won 65 percent of them. How many games did it win? Solution: |
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| 5269. |
A parabola, with its vertex at (0,0), has a focus on the negative part of the y-axis. Which statements about the parabola are true? Check all that apply. The directrix will cross through the positive part of the y-axis. The equation of the parabola will be in the form y2 = 4px where the value of p is negative. The equation of the parabola will be in the form x2= 4pywhere the value of p is positive. The equation of the parabola could be y2= 4x. The equation of the parabola could be x2 = y. |
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Answer» A parabola, with its vertex at (0,0), has a focus on the negative part of the y-axis. Which statements about the parabola are true? Solution: |
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| 5270. |
Can the numbers 24, 32, 40 be the lengths of the three sides of a right triangle? |
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Answer» Yes,the numbers 24, 32, 40 can be thelengths of the three sides of a right triangle. In the right triangle, the square of the largest side should be equal to the sum of the square of the other two sides. |
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| 5271. |
A rectangular piece of paper 11cm× 4cm is folded without overlapping to make acylinder of height 4cm. Find the volume of the cylinder. |
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Answer» The volume of a cylinder with height as 4cm which is to be made of a rectangular piece of paper with dimensions 11 cm×4 cm is 38.5 cm3 Let's understand how a rectangular sheet of paper can be converted in to a cylinder. |
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| 5272. |
Find an equation in standard form for the hyperbola with vertices at (0, ±3) and foci at (0, ±7). |
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Answer» Find an equation in standard form for the hyperbola with vertices at (0, ±3) and foci at (0, ±7). Solution: |
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| 5273. |
What is the vertex of the absolute value function defined by ƒ(x) = |x + 2| + 4? (2, 4) (-2, -4) (-2, 4) (2, -4) |
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Answer» What is the vertex of the absolute value function defined by ƒ(x) = |x + 2| + 4? Solution: |
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| 5274. |
Solve by Factoring x2-5x=24? |
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Answer» Solve by Factoring x2-5x=24? Solution: |
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| 5275. |
Find the length of the curve. r(t) = cos (7t) i + sin (7t)j + 7 ln cos t k, 0 ≤ t ≤ π/4. |
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Answer» Find the length of the curve. r(t) = cos (7t) i + sin (7t)j + 7 ln cos t k, 0 ≤ t ≤ π/4. Solution: |
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| 5276. |
What is the difference between a subset and a proper subset? |
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Answer» A subset of a set A can be equal to setA but a proper subset of a set A can never be equal to set A. Set theory and Venn diagram are useful tools to understand these two sets in detail. |
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| 5277. |
For f(x) = 0.01(2)ˣ, find the average rate of change from x = 2 to x = 10. 1.275, 8, 10.2, 10.24 |
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Answer» For f(x) = 0.01(2)ˣ, find the average rate of change from x = 2 to x = 10. 1.275, 8, 10.2, 10.24 Solution: |
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| 5278. |
25 is 40% of what number? |
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Answer» 25 is 40 percent of 62.5. Percentage is a fraction or a ratio in which the value of the whole is always 100. |
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| 5279. |
What is 1.4 to the power of 2? |
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Answer» 1.4 to the power of 2 is 1.96. 1.4 to the power of 2 is written as (1.4)2. |
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| 5280. |
How much is 81 to the power of 3/4? |
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Answer» 81 to the power of 3/4 is 27. In algebra, the method of expressing powers and roots together is known as a fractional exponent. |
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| 5281. |
2 6 3 8 6 12 |
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Answer» The number which best completes the sequence2 6 3 8 6 12 is 11. The given sequenceis an ascending sequence with two different sequences in it. |
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| 5282. |
The Number which Best Completes the Sequence below is? |
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Answer» The number which best completes the sequence2 6 3 8 6 12 is 11. The given sequenceis an ascending sequence with two different sequences in it. |
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| 5283. |
If h(x) = 4x -8 and j(x) = -x, solve h[j(3)] and select the correct answer below. -36, -20, 1, 4 |
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Answer» If h(x) = 4x -8 and j(x) = -x, solve h[j(3)] and select the correct answer below. -36, -20, 1, 4 Solution: |
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| 5284. |
What is 2/3of 50? |
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Answer» 2/3of 50 is 100/3 or33⅓. Themultiplication of fractionsstarts with the multiplication of the given numerators, followed by the multiplication of the denominators. |
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| 5285. |
How much is 7 to the power of 7? |
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Answer» 7 to the power of 7 is 823543. We will solvethe above question by the multiplication rule of exponents and powers. The powerof a number represents how many times we have to use the number in a multiplication. |
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| 5286. |
In the rhombus, angle 1 = 140. What are angles 2 and 3? The diagram is not to scale. |
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Answer» In the rhombus, angle 1 = 140. What are angles 2 and 3? The diagram is not to scale.
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| 5287. |
Differentiate with respect to t. y = d cos(t) + t2 sin(t) |
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Answer» Differentiate with respect to t. y = d cos(t) + t2 sin(t) Solution: |
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| 5288. |
What is half of 1/4? |
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Answer» Half of 1/4 is 1/8 Themultiplication of fractionsstarts with the multiplication of the given numerators, followed by the multiplication of the denominators. |
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| 5289. |
Five years ago, A's age was four times the age of B. Five years hence, A's age will be twice the age of B. Find their present ages. |
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Answer» The present age of A is 25 years and that of B is 10 years. The given question can be simplified using thelinear equations in twovariables. |
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| 5290. |
What is the value of m in the equation 1/2 m - 3/4 n = 16, when n = 8? |
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Answer» What is the value of m in the equation 1/2 m - 3/4 n = 16, when n = 8? Solution: |
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| 5291. |
A parabola has a vertex at (0,0). The equation for the directrix of the parabola is x = -4. In which direction does the parabola open? |
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Answer» A parabola has a vertex at (0,0). The equation for the directrix of the parabola is x = -4. In which direction does the parabola open? Solution: |
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| 5292. |
b = (8)tan(30º) b = 8/tan(30º) b = (8)sin(30º) b = 8/sin(30º) |
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Answer» Which equation can be used to solve for b? b = (8)tan(30º),b = 8/tan(30º),b = (8)sin(30º),b = 8/sin(30º) Solution: |
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| 5293. |
Which equation can be used to solve for b? |
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Answer» Which equation can be used to solve for b? b = (8)tan(30º),b = 8/tan(30º),b = (8)sin(30º),b = 8/sin(30º) Solution: |
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| 5294. |
If (2 - 3i) + (x + yi) = 6, what is x + yi? |
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Answer» If (2 - 3i) + (x + yi) = 6, what is x + yi? Solution: |
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| 5295. |
The area of this circle is 42πm2. What is the area of a 60º sector of this circle? |
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Answer» The area of this circle is 42πm2. What is the area of a 60ºsector of this circle? Solution: |
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| 5296. |
What is the radian measure of an angle of x degrees? |
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Answer» What is the radian measure of an angle of x degrees? Solution: |
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| 5297. |
Solve for x in the equation -3x = -15 |
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Answer» The value of x in the equation -3x =-15 is x = 5. Let us solve for x by isolating the variable on one side of the given linear equation in one variable. |
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| 5298. |
How many feet are in 1/10 of a mile? |
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Answer» There are 528 feet in 1/10 of a mile. Mile and feetare measuring units used to calculate length, height, distances, etc. |
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| 5299. |
What is the distance between ( 2, 3) and ( -4, 5)? |
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Answer» The distance between ( 2, 3) and ( -4, 5) is 2√10. Thedistance formula is a variant of the Pythagoreantheorem.It is very usefulin finding the distance between two points on the XY-plane represented as points (x1,y1) and (x2, y2). |
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| 5300. |
Find a function f such that f'(x) = 5x3 and the line 5x + y = 0 is tangent to the graph of f. |
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Answer» Find a function f such that f'(x) = 5x3and the line 5x + y = 0 is tangent to the graph of f. Solution: |
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