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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.
| 251. |
Which of the following is an example of two sets A and B such that A∪ B = A (a) A = {1, 2, 6, 7} B = {2, 6, 7} (b) A = {-1, 0, 6, 9} B = {-2, 6, 8} |
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Answer» Which of the following is an example of two sets A and B such that A∪ B = A Solution: |
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| 252. |
Which of the following is a factor of the polynomial 2x2 - 3x - 5? (x + 1) or (x + 2). |
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Answer» Which of the following is a factor of the polynomial 2x2 - 3x - 5? (x + 1) or (x + 2). Solution: |
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| 253. |
Which of the following is not a characteristic of all parallelograms? a. Opposite sides are equal. b. Adjacent angles are congruent. |
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Answer» Which of the following is not a characteristic of all parallelograms? Solution: |
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| 254. |
Which of the following is a conjugate for 7 + i square root of 2? 7 - i √ 2 or - 7 + i √ 2. |
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Answer» Which of the following is a conjugate for 7 + i square root of 2? 7 - i √ 2 or - 7 + i √ 2. Solution: |
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| 255. |
Which of the following is not a possible value of sin x? A) 2 B) -1 C) 1 D) 0.5 |
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Answer» Which of the following is not a possible value of sin x? Solution: |
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| 256. |
Which of the following is not equal to 50 millimeters? a)5,000,000 nanometers b)0.05 meters c)5 centimeters d)50,000 micrometers |
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Answer» Which of the following is not equal to 50 millimeters? Solution: |
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| 257. |
In the circle, AB = 42, BC = 18 and CD = 4. What is the value of x? |
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Answer» In the circle, AB = 42, BC = 18 and CD = 4. What is the value of x? Solution: |
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| 258. |
Find the correct description of the graph of the compound inequality x − 3 < −9 or x + 5 ≥ 10. |
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Answer» The region represented by the given inequalitieson the graph does not converge anywhere; hence, the given systemof inequalities does not have any solution. Inequalities are very important concepts that are required in calculating the domain or the range of a variable in any algebraic, trigonometric, or differential equation. |
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| 259. |
What is the interval notation for the compound inequality? x ≤ -4 or x ≥ 5 |
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Answer» What is the interval notation for the compound inequality? x ≤ -4 or x ≥ 5 Solution: |
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| 260. |
Which of the following is correct: (1) 2/3 < 3/5 < 11/15 (2) 3/5 < 2/3 < 11/15 (3) 11/15 < 3/5 < 2/3 (4) 3/5 < 11/5 < 2/3 |
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Answer» Which of the following is correct: (1) 2/3 < 3/5 < 11/15, (2) 3/5 < 2/3 < 11/15, (3) 11/15 < 3/5 < 2/3, (4) 3/5 < 11/5 < 2/3 Solution: |
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| 261. |
Find an equation of the line of intersection of the planes Q and R. Q: x - y - 2z = 1; R: x + y + z = -1 |
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Answer» Find an equation of the line of intersection of the planes Q and R. Q: x - y - 2z = 1; R: x + y + z =-1 Solution: |
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| 262. |
Consider circle Y with radius 3 m and central angle XYZ measuring 70°. What is the approximate length of minor arc XZ? Round to the nearest tenth of a meter. |
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Answer» Consider circle Y with radius 3 m and central angle XYZ measuring 70°. What is the approximate length of minor arc XZ? Round to the nearest tenth of a meter. Solution: |
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| 263. |
True or false: the set {1, 3, 5, ..., 101} contains the number 33. |
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Answer» True or false: the set {1, 3, 5, ..., 101} contains the number 33. Solution: |
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| 264. |
Which equation is equivalent to 3[x + 3(4x - 5)] = 15x - 24? 15x - 15 = 15x - 24 15x - 5 = 15x - 24 39x - 45 = 15x - 24 39x - 15 = 15x - 24 |
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Answer» Which equation is equivalent to 3[x + 3(4x - 5)] = 15x - 24? Solution: |
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| 265. |
Simplify a - {b - [c - (d - e) - f] - g}. |
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Answer» Simplify a - {b - [c - (d - e) - f] - g}. Solution: |
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| 266. |
Find all polar coordinates of point p where p = (9, pi divided by 5). |
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Answer» Find all polar coordinates of point p where p = (9, pi divided by 5). Solution: |
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| 267. |
In circle O, ST is a diameter. What must be the value of x? |
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Answer» In circle O, ST is a diameter. What must be the value of x? Solution: |
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| 268. |
What is the quotient when 3x3 - 11x2 - 26x + 30 divided by x - 5? |
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Answer» What is the quotient when 3x3 - 11x2 - 26x + 30 divided by x - 5? Solution: |
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| 269. |
The area of a square garden is 50 m2. How long is the diagonal? |
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Answer» The area of a square garden is 50 m2. How long is the diagonal? Solution: |
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| 270. |
Find the area of the regular polygon hexagon with a radius of 5 in? |
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Answer» Find the area of the regular polygon hexagon with a radius of 5 in? Solution: |
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| 271. |
A multiple choice test has 12 questions each of which has 5 possible answers, only one of which is correct. If Judy, who forgot to study for the test, guesses on all questions, what is the probability that she will answer exactly 3 questions correctly? |
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Answer» A multiple choice test has 12 questions each of which has 5 possible answers, only one of which is correct. If Judy, who forgot to study for the test, guesses on all questions, what is the probability that she will answer exactly 3 questions correctly? Solution: |
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| 272. |
The vertex of a parabola is (-2, -20), and its y-intercept is (0, -12). Which quadratic function represents the parabola in standard form? |
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Answer» The vertex of a parabola is (-2, -20), and its y-intercept is (0, -12). Which quadratic function represents the parabola in standard form? Solution: |
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| 273. |
What is the product of 3a + 5 and 2a2 + 4a - 2? |
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Answer» What is the product of 3a + 5 and 2a2 + 4a - 2? Solution: |
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| 274. |
Which statement is true about the equation (x - 4)(x + 2) = 16? The equation x - 4 = 16 can be used to solve for a solution of the given equation. The standard form of the equation is x2- 2x - 8 = 0. The factored form of the equation is (x + 4)(x - 6) = 0. One solution of the equation is x = -6. |
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Answer» Which statement is true about the equation (x - 4)(x + 2) = 16? Solution: |
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| 275. |
In which quadrant is θ located if cosθ is positive and cotθ is negative? |
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Answer» In which quadrant is θ located if cosθ is positive and cotθ is negative? Solution: |
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| 276. |
What is the average rate of change of y = cos(2x) on the interval 0, pi/2 |
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Answer» What is the average rate of change of y = cos(2x) on the interval 0, pi/2 Solution: |
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| 277. |
What is the value of x, when 10(x + 2) = 5(x + 8)? |
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Answer» What is the value of x, when 10(x + 2) = 5(x + 8)? Solution: |
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| 278. |
Solve the differential equation by variation of parameters. y'' - 9y = 9x/e3x |
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Answer» Solve the differential equation by variation of parameters. y'' - 9y = 9x/e3x Solution: |
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| 279. |
What are the solutions of the equation: z2 - 12z + 36 = 0? |
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Answer» What are the solutions of the equation: z2 - 12z + 36 = 0? Solution: |
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| 280. |
List the first five terms of the sequence. an = (-1)n - (1.5)ⁿ. |
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Answer» List the first five terms of the sequence. an = (-1)n - (1.5)ⁿ. Solution: |
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| 281. |
What is the surface area of a sphere with a circumference of 30 ft? |
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Answer» What is the surface area of a sphere with a circumference of 30 ft? Solution: |
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| 282. |
In circle O, radius OQ measures 9 inches and arc PQ measures 6π inches. Circle O is shown. Line segments PO and QO are radii with length of 9 inches. Angle POQ is theta. What is the measure, in radians, of central angle POQ? |
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Answer» In circle O, radius OQ measures 9 inches and arc PQ measures 6π inches. Circle O is shown. Line segments PO and QO are radii with length of 9 inches. Angle POQ is theta. What is the measure, in radians, of central angle POQ? Solution: |
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| 283. |
What are the first five terms of the sequence given by the formula an = 5n + 1 |
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Answer» What are the first five terms of the sequence given by the formula an= 5n + 1 Solution: |
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| 284. |
Find the distance between points p(8, 2) and q(3, 8) to the nearest tenth. |
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Answer» Find the distance between points p(8, 2) and q(3, 8) to the nearest tenth. Solution: |
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| 285. |
Solve: Multiply x to the 1 fourth power times x to the 5 eighths power. |
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Answer» Solve: Multiply x to the 1 fourth power times x to the 5 eighths power. Solution: |
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| 286. |
If 2 + squareroot 3 is a polynomial root, name another root of the polynomial and explain how you know it must be a root. |
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Answer» If 2 + squareroot 3 is a polynomial root, name another root of the polynomial and explain how you know it must be a root. Solution: |
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| 287. |
Solve for x: the quantity of x plus 4 all over 2 = 7. |
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Answer» Solve for x: the quantity of x plus 4 all over 2 = 7. Solution: |
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| 288. |
If (x + 1)2 = 55, what is the approximate positive value of x? |
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Answer» If (x + 1)2 = 55, what is the approximate positive value of x? Solution: |
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| 289. |
If (x + 5)2 = 35, what is the approximate positive value of x? |
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Answer» If (x + 5)2 = 35, what is the approximate positive value of x? Solution: |
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| 290. |
In a geometric sequence, the term an+1 can be smaller than the term an. True or False? |
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Answer» In a geometric sequence, the term an+1 can be smaller than the term an. True or False? Solution: |
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| 291. |
What is the initial value of the equation shown? y = -7x - 6 |
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Answer» What is the initial value of the equation shown? y = -7x - 6 Solution: |
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| 292. |
Find the distance between points M (6, 16) and Z (-1, 14) to the nearest tenth. |
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Answer» Find the distance between points M (6, 16) and Z (-1, 14) to the nearest tenth. Solution: |
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| 293. |
Which list of ordered pairs represents solutions to x + y = 2? (-4, 6), (0, 2), (4, 2) (-4, -6), (0, 2), (4, 2) (-4, 6), (0, 2), (4, -2) |
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Answer» Which list of ordered pairs represents solutions to x + y = 2? Solution: |
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| 294. |
If 4a + 6b = 10 and 2a - 4b = 12. What does 12a = |
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Answer» If 4a + 6b = 10 and 2a - 4b = 12. What does 12a = Solution: |
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| 295. |
How many numbers between 111 and 100100100 (inclusive) are divisible by 333 and 101010? |
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Answer» How many numbers between 111 and 100100100 (inclusive) are divisible by 333 and 101010? Solution: |
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| 296. |
If g = {(-1, 7), (-8, 2), (0, 0), (6, 6)}, then the range of g is |
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Answer» If g = {(-1, 7), (-8, 2), (0, 0), (6, 6)}, then the range of g is Solution: |
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| 297. |
What are the first five terms of the sequence given by the formula an = 4n + 1. |
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Answer» What are the first five terms of the sequence given by the formula an = 4n + 1. Solution: |
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| 298. |
What is the simple interest earned on a deposit of $4,000 at 5% for 120 days? |
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Answer» What is the simple interest earned on a deposit of $4,000 at 5% for 120 days? Solution: |
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| 299. |
Which is the ratio for sin A, written as a fraction in simplest form? |
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Answer» Which is the ratio for sin A, written as a fraction in simplest form? Solution: |
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| 300. |
When solving negative one over three (x - 15) = -4, what is the correct sequence of operations? Multiply each side by negative one over three , subtract 15 from each side Multiply each side by -3, add 15 to each side Multiply each side by negative one over three , add 15 to each side Multiply each side by 3, subtract 15 from each side |
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Answer» When solving negative one over three (x - 15) = -4, what is the correct sequence of operations? Solution: |
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