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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.
| 4201. |
The slope of a line is undefined, and the x-intercept is -7. What is the equation of the line? |
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Answer» The slope of a line is undefined, and the x-intercept is -7. What is the equation of the line? Solution: |
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| 4202. |
A box is 2 feet wide. if one notepad is 2 inches wide, how many notepads can fit in the box? |
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Answer» A box is 2 feet wide. if one notepad is 2 inches wide, how many notepads can fit in the box? Solution: |
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| 4203. |
If one factor of x2+ 2x -24 is (x + 6). We need to find the other factor? |
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Answer» If one factor of x2 + 2x -24 is (x + 6). We need to find the other factor? Solution: |
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| 4204. |
How many Inches is 20 cm? |
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Answer» 20 centimeters equals 7.87402 inches. Centimeters and inches are units used to measure length. |
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| 4205. |
A triangular pyramid is cut by a plane. In which case is the cross section a quadrilateral? When the plane is perpendicular to the base and passes through the apex When the plane is parallel to the base of the pyramid When the plane intersects the base and two lateral faces of the pyramid When the plane intersects the base and all three lateral faces of the pyramid |
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Answer» A triangular pyramid is cut by a plane. In which case is the cross section a quadrilateral? Solution: |
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| 4206. |
How many Inches are in a Foot? |
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Answer» There are 12 inches in 1 foot. Both inches and feet are units used to measure length. |
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| 4207. |
How much is 5 to the power of 1? |
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Answer» 5 to the power of 1 is 5. We will solve this question by the multiplication rule of exponents and power. The exponent of any number represents how many times to use the number in a multiplication. |
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| 4208. |
How large is the central angle on a circle with a radius of 4ft if the defined arc is 10ft? |
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Answer» How large is the central angle on a circle with a radius of 4ft if the defined arc is 10ft? Solution: |
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| 4209. |
What time is 16:05? |
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Answer» What time is 16:05? Solution: |
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| 4210. |
A square has an area of 400 square miles. What is the length of each side of the square? |
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Answer» A square has an area of 400 square miles. What is the length of each side of the square? Solution: |
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| 4211. |
How to make use of completing the square to solve for x in the equation (x + 7)(x - 9) = 25 |
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Answer» The result of the solution givesx =±√89 + 1 . It is a standard practice to learn the formula for x that is derived from a quadratic expression. |
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| 4212. |
If you flip a fair coin 5 times, what is the probability that you will get exactly 3 tails? |
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Answer» If you flip a fair coin 5 times, what is the probability that you will get exactly 3 tails? Solution: |
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| 4213. |
The probability of rolling a 3 or 2 on a single die is an example of mutually exclusive events.True or False. |
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Answer» The probability of rolling a 3 or 2 on a single die is an example of a mutually exclusive event.True or False. Solution: |
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| 4214. |
The sum of two positive numbers is 16. What is the smallest value of the sum of their squares? |
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Answer» The sum of two positive numbers is 16. What is the smallest value of the sum of their squares? Solution: |
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| 4215. |
Find two sets a and b such that a ∈ b and a ⊆ b. |
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Answer» Find two sets a and b such that a ∈ b and a ⊆ b. Solution: |
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| 4216. |
The perimeter of parallelogram WXYZ is 50 millimeters. What is WZ? 2 mm, 7 mm, 23 mm, 25 mm |
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Answer» The perimeter of parallelogram WXYZ is 50 millimeters. What is WZ?
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| 4217. |
Using the graph of f(x) = log10x below, approximate the value of y in the equation 10y = 6. Log base 10 graph y ≈ 0.01,y ≈ 1.48,y ≈ -2.01,y ≈ 0.78 |
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Answer» Using the graph of f(x) = log10x below, approximate the value of y in the equation 10y= 6. Solution: |
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| 4218. |
What are the solutions of the equation x4 + 6x2 + 5 = 0? Use u substitution to solve. |
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Answer» What are the solutions of the equation x4+ 6x2+ 5 = 0? Use u substitution to solve. Solution: |
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| 4219. |
How do you know if an absolute value equation has no solution? |
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Answer» There are 0 solutions to the equation|-5 - 4x| + 9 = -40 Absolute value functions are always greater than or equal to zero. |
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| 4220. |
For an angle θ with the point (15, -8) on its terminating side, what is the value of cosine? |
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Answer» For an angle θ with the point (15, -8) on its terminating side, what is the value of cosine? Solution: |
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| 4221. |
If x + y = 7 and 2x - y = 2, then y = ? |
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Answer» If x + y = 7 and 2x - y = 2, then y = ? Solution: |
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| 4222. |
The total fencing around a square field is 80 yards. The field has an area of how many square yards. |
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Answer» The total fencing around a square field is 80 yards. The field has an area of how many square yards. Solution: |
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| 4223. |
A circle has a radius of 6 cm. What would be the area of an inscribed equilateral triangle? |
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Answer» A circle has a radius of 6 cm. What would be the area of an inscribed equilateral triangle? Solution: |
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| 4224. |
Determine the slope of the following curve at the given point y = 2x3− 8x2+ 1 at the point (2, −15) |
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Answer» -8 is the slope of the given curve. The slope of a line represents the ratio between thechange in y-coordinate with respect to the change in x-coordinate of a given line. |
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| 4225. |
Use the zero product property to find the solutions to the equation x2 - 13x + 30 = 0. |
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Answer» Use the zero product property to find the solutions to the equation x2 - 13x + 30 = 0. Solution: |
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| 4226. |
Find the length of the curve. r(t) = cos(5t) i + sin(5t) j + 5 ln(cos(t)) k, 0 ≤ t ≤ π/4. |
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Answer» Find the length of the curve. r(t) = cos(5t) i + sin(5t) j + 5 ln(cos(t)) k, 0 ≤ t ≤ π/4. Solution: |
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| 4227. |
A solid has 16 faces and 14 vertices. How many edges does the solid have? |
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Answer» A solid has 16 faces and 14 vertices. How many edges does the solid have? Solution: |
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| 4228. |
Find the diagonal of the rectangular solid with the given measures. l = 3, w = 3, h = 2? |
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Answer» Find the diagonal of the rectangular solid with the given measures. l = 3, w = 3, h = 2? Solution: |
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| 4229. |
Solve the given differential equation by undetermined coefficients. y''' -6y'' = 4 -cos(x). |
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Answer» Solve the given differential equation by undetermined coefficients. y''' -6y'' = 4 -cos(x). Solution: |
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| 4230. |
Which triangles are similar by the angle-angle criterion for similarity of triangles? |
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Answer» Which triangles are similar by the angle-angle criterion for similarity of triangles? Solution: |
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| 4231. |
What is the length of the hypotenuse of a right triangle whose legs have lengths of 5 and 12? |
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Answer» What is the length of the hypotenuse of a right triangle whose legs have lengths of 5 and 12? Solution: |
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| 4232. |
The terminal side of an angle in standard position passes through p(15, -8). What is the value of sinθ? |
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Answer» The terminal side of an angle in standard position passes through p(15, -8). What is the value of sinθ? Solution: |
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| 4233. |
Find the approximate solution of this system of equations. y = |x2 - 3x + 1|, y = x - 1 |
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Answer» Find the approximate solution of this system of equations. y = |x2 - 3x + 1|, y = x - 1 Solution: |
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| 4234. |
Using the quadratic formula to solve 11x2-4x=1. Find the value of x? |
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Answer» Using the quadratic formula to solve 11x2-4x=1. Find the value of x? Solution: |
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| 4235. |
How to prove cot (A + B) = (cot A × cot B - 1) / (cot A + cot B)? |
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Answer» Cot(A+B) =(cotAcotB-1) / (cotA+cotB) can be proved using trigonometric conversions from a cot function into cosine and sine function. We will make use of trigonometric identities to prove this result. |
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| 4236. |
The HCF of two numbers is 145 and their LCM is 2175. If one of the numbers is 725, Find the other number. |
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Answer» The other number is 435 The largest possible number which divides the given numbers exactly without leaving any remainder is called theHCF (Highest Common Factor). |
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| 4237. |
What is the length of AC? Round to the nearest tenth. |
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Answer» What is the length of AC? Round to the nearest tenth.
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| 4238. |
What is the second row of entries for the system determinant?2x - y = 5 , x + 3y = 7 0, 3 1, 3 3, 7 |
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Answer» What is the second row of entries for the system determinant?2x - y = 5 , x + 3y = 7 Solution: |
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| 4239. |
How much is 6 to the power of 0? |
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Answer» 6 to the power of 0 is 1. We will solve this question by using the zero property of exponentsfromthe multiplication rule of exponents and power. |
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| 4240. |
What is the equation of the quadratic graph with a focus of (4,0) and a directrix of y=10? |
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Answer» What is the equation of the quadratic graph with a focus of (4,0) and a directrix of y=10? Solution: |
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| 4241. |
What is the solution to the equation 2(3)x = 3x + 1? |
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Answer» What is the solution to the equation 2(3)x= 3x+ 1? Solution: |
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| 4242. |
Find a vector equation and parametric equations for the line segment that joins P to Q. P(0, - 1, 1), Q(1/2, 1/3, 1/4). |
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Answer» Find a vector equation and parametric equations for the line segment that joins P to Q. P(0, - 1, 1), Q(1/2, 1/3, 1/4). Solution: |
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| 4243. |
Suppose y= √2x + 1where x and y are functions of t. (a) if dx/dt= 12, find dy/dt when x=4. (b) if dy/dt= 3, find dx/dt when x=4012. |
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Answer» Suppose y= where x and y are functions of t. (a) if dx/dt= 12, find dy/dt when x=4. (b) if dy/dt= 3, find dx/dt when x=4012. Solution: |
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| 4244. |
Find out that if f is a differentiable function at a, must f be also continuous at a or not? |
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Answer» If f(x) is a differentiable function, then it is a continuous function. A continuous functionmay or may not be differentiable. |
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| 4245. |
If A, B and C are the vertices of a ΔABC, then what is the value of vector AB + BC + CA ? |
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Answer» If A, B and C are the vertices of a ΔABC, then what is the value of vector AB + BC + CA ? Solution: |
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| 4246. |
What is the solution set of x2-10=30x？ -220, 250 -250, 220 15-235, 15+235 -15-235,-15+235 |
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Answer» What is the solution set of x2-10=30x？ -220, 250 -250, 220 15-235, 15+235 -15-235,-15+235 Solution: |
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| 4247. |
What is the value of x if the volume of the cone is 12 pi m3 |
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Answer» What is the value of x if the volume of the cone is 12 pi m3
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| 4248. |
Find the derivative of the given function: sin (3x + 5) |
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Answer» The derivative of sin (3x + 5) is 3 cos (3x + 5) We can solve it using the chain rule. |
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| 4249. |
One root of f(x)= x3 - 9x2 + 26x - 24 is x = 2. What are all the roots of the function? Use the remainder theorem. |
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Answer» One root of f(x)= x3 - 9x2 + 26x - 24 is x = 2. What are all the roots of the function? Use the remainder theorem. Solution: |
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| 4250. |
Solve 6/ x - 4 = 4/ x for x and determine if the solution is extraneous or not. |
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Answer» Solve 6/ x - 4 = 4/ x for x and determine if the solution is extraneous or not. Solution: |
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