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This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
For an angle θ with the point (5, -12) on its terminating side, what is the value of cosine? |
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Answer» For an angle θ with the point (5, -12) on its terminating side, what is the value of cosine? Solution: |
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| 2. |
Find the point on the line y = 4x + 5 that is closest to the origin? |
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Answer» Find the point on the line y = 4x + 5 that is closest to the origin? Solution: |
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| 3. |
Using the graph of f(x) = log2x below, approximate the value of y in the equation 22y = 6. log base 2 graph |
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Answer» Using the graph of f(x) = log2x below, approximate the value of y in the equation 22y = 6. log base 2 graph Solution: |
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| 4. |
The radius of a sphere is 6 centimeters. What is the volume of the sphere? |
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Answer» The radius of a sphere is 6 centimeters. What is the volume of the sphere? Solution: |
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| 5. |
Solve for d: d - 10 - 2d + 7 = 8 + d - 10 - 3d |
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Answer» Solve for d: d - 10 - 2d + 7 = 8 + d - 10 - 3d Solution: |
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| 6. |
Which of the following is a factor of xy + 3y - 7x - 21? 5, x + 3, x2 - 3x + 9, All of the above |
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Answer» Which of the following is a factor of xy + 3y - 7x - 21? 5, x + 3, x2- 3x + 9, All of the above Solution: |
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| 7. |
Which is the equation of a parabola with vertex (0, 0) and focus (0, 2)? |
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Answer» Which is the equation of a parabola with vertex (0, 0) and focus (0, 2)? Solution: |
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| 8. |
A line passes through (2, 8) and (4, 12). Which equation best represents the line? y = 1 over 2 x + 6 y = 2x + 7 y = 2x + 4 y = 1 over 2 x + 10 |
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Answer» A line passes through (2, 8) and (4, 12). Which equation best represents the line? Solution: |
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| 9. |
Determine whether each of these functions from {a, b, c, d} to itself is one-to-one. a) f (a) = b, f (b) = a, f (c) = c, f (d) = d b) f (a) = b, f (b) = b, f (c) = d, f (d) = c c) f (a) = d, f (b) = b, f (c) = c, f (d) = d |
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Answer» Determine whether each of these functions from {a, b, c, d} to itself is one-to-one. Solution: |
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| 10. |
How many ways can 7 books be arranged on a shelf 5 at a time |
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Answer» How many ways can 7 books be arranged on a shelf 5 at a time Solution: |
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| 11. |
The volume of a sphere is increasing at the rate of 3 cubic centimetre per second. Find the rate of increasing of its surface area, when the radius is 2cm. |
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Answer» The volume of a sphere is increasing at the rate of 3 cubic centimetre per second. Find the rate of increasing of its surface area, when the radius is 2cm. Solution: |
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| 12. |
If n = 15 and p = 0.4, then the standard deviation of the binomial distribution is? |
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Answer» If n = 15 and p = 0.4, then the standard deviation of the binomial distribution is? Solution: |
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| 13. |
Choose the correct simplification of the expression (-2x + 4y)(3x - 7y). -6x2 - 2xy - 28y2 6x2 + 26xy - 28y2 -6x2 + 26xy + 28y2 -6x2 + 26xy - 28y2 |
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Answer» Choose the correct simplification of the expression (-2x + 4y)(3x - 7y). Solution: |
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| 14. |
Which function below is the inverse of f(x) = x2 - 16? x squared over 16 ±4square root of x ±square root of the quantity x plus 16 1 over quantity x squared minus 16 |
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Answer» Which function below is the inverse of f(x) = x2 - 16? Solution: |
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| 15. |
Find the least common multiple of the following polynomials 9(x + 2)(2x - 1) and 3(x + 2) |
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Answer» Find the least common multiple of the following polynomials 9(x + 2)(2x - 1) and 3(x + 2) Solution: |
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| 16. |
What is the sum of the measures of the interior angles of a 14-sided polygon? |
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Answer» What is the sum of the measures of the interior angles of a 14-sided polygon? Solution: |
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| 17. |
Find x - 3y if x = 3 and y = -2. |
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Answer» Find x - 3y if x = 3 and y = -2. Solution: |
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| 18. |
A cylinder has a radius of 4x + 2 and a height of 5x + 4. Which polynomial in the standard form best describes the total volume of the cylinder? Use the formula V = r2h for the volume of a cylinder 80x3 + 144x2 + 84x + 16. 80x3 - 144x2 + 84x + 16. 80x3 + 144x2 + 84x - 16. 80x3 + 144x2 - 84x + 16 |
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Answer» A cylinder has a radius of 4x + 2 and a height of 5x + 4. Which polynomial in standard form best describes the total volume of the cylinder? Use the formula V = r2h for the volume of a cylinder Solution: |
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| 19. |
Which phrase matches the algebraic expression below? 2(x + 7) + 10 Two times the sum of x and seven plus ten Two times the difference of x and seven plus ten Two times x minus seven plus ten Two times x plus the sum of seven and ten |
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Answer» Which phrase matches the algebraic expression below? 2(x + 7) + 10 Solution: |
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| 20. |
Quadrilateral RSTU is a parallelogram. What must be the value of x? |
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Answer» Quadrilateral RSTU is a parallelogram. What must be the value of x?
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| 21. |
What are the real and complex solutions of the polynomial equation x3 - 64 = 0 4, -1 + 2i Sqrt3, -1 + 2i sqrt3 4, 1 +2i sqrt3 , 1 + 2i sqrt3 4, -2 + 2i sqrt3 -2 - 2i sqrt3 4, -2 + 2i sqrt3, 2 + 2i sqrt3 |
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Answer» What are the real and complex solutions of the polynomial equation x3- 64 = 0 Solution: |
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| 22. |
Simplify 7 log3 k + 6 log3 m - 9 log3 n. |
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Answer» Simplify 7 log3 k + 6 log3 m - 9 log3 n. Solution: |
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| 23. |
If f(x) = -7x + 5x2 + 10, what does f(-2) equal? |
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Answer» If f(x) = -7x + 5x2+ 10, what does f(-2) equal? Solution: |
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| 24. |
Select all of the roots of x3 + 2x2 - 16x - 32. -1,-2,-4,1,4,5 |
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Answer» Select all of the roots of x3 + 2x2 - 16x - 32. Solution: |
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| 25. |
Simplify (5x2+ 3x + 4) + (5x2+ 5x - 1) |
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Answer» Simplify (5x2 + 3x + 4) + (5x2 + 5x - 1) Solution: |
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| 26. |
Find the first partial derivatives of the function. f(x, y) = x2y? |
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Answer» Find the first partial derivatives of the function. f(x, y) = x2y? Solution: |
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| 27. |
What is the completely factored form of d4- 8d2+ 16? |
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Answer» What is the completely factored form of d4- 8d2+ 16? Solution: |
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| 28. |
The sum of two numbers is 20 and their difference is 4, then the greater no. is ______ |
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Answer» The sum of two numbers is 20 and their difference is 4, then the greater no. is ______ Solution: |
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| 29. |
Choose the correct simplification of the expression -5x2(4x - 6x2 - 3). 30x4 - 20x3 + 15x2 -11x4 - x3 - 8x2 -30x4 + 20x3 - 15x2 30x4 + 20x3 + 15x2 |
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Answer» Choose the correct simplification of the expression -5x2(4x - 6x2 - 3). Solution: |
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| 30. |
What is the result of dividing 2x3 + x2 - 2x + 8 by x + 2? |
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Answer» What is the result of dividing 2x3 + x2 - 2x + 8 by x + 2? Solution: |
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| 31. |
Write a recursive definition for the sequence 11, 8, 5, 2 |
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Answer» Write a recursive definition for the sequence 11, 8, 5, 2 Solution: |
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| 32. |
Find dy/dx. x = t sin(t), y = t2 + 9t |
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Answer» Find dy/dx. x = t sin(t), y = t2 + 9t Solution: |
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| 33. |
What is the result of dividing x3 - 7 by x + 2? |
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Answer» What is the result of dividing x3- 7 by x + 2? Solution: |
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| 34. |
What is the 8th term of the sequence given by an = 3n - 5 |
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Answer» What is the 8th term of the sequence given by an = 3n - 5 Solution: |
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| 35. |
Solve: negative 1 over 2 x + 1 = -x + 8 |
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Answer» Solve: negative 1 over 2 x + 1 = -x + 8 Solution: |
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| 36. |
What is the inverse of the logarithmic function f(x) = loge X |
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Answer» What is the inverse of the logarithmic function f(x) = loge X Solution: |
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| 37. |
Find the quotient. (5ab - 10b2 + 15bc) ÷ 5b |
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Answer» Find the quotient. (5ab - 10b2 + 15bc) ÷ 5b Solution: |
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| 38. |
Find dy/dx. x = t sin(t), y = t2 + 3t |
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Answer» Find dy/dx. x = t sin(t), y = t2 + 3t solution: |
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| 39. |
Solve (18x5 + 6x4 - 12x3) ÷ 6x2 |
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Answer» Solve (18x5 + 6x4 - 12x3) ÷ 6x2 Solution: |
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| 40. |
3a/(a + 1)2. Give the equivalent numerator if the denominator is (a + 1)3 |
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Answer» 3a/(a + 1)2. Give the equivalent numerator if the denominator is (a + 1)3 Solution: |
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| 41. |
Use logarithmic differentiation to find the derivative of the function y = xx |
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Answer» Use logarithmic differentiation to find the derivative of the function y = xx Solution: |
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| 42. |
Solve the following system of equations: x - 2y = 5, 2x - 4y = 10 |
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Answer» Solve the following system of equations: x - 2y = 5, 2x - 4y = 10 Solution: |
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| 43. |
Solve 1/3 ln(x + 2)3 + 1/2 ln x - ln(x2 + 3x + 2)2 |
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Answer» Solve 1/3 ln(x + 2)3 + 1/2 ln x - ln(x2 + 3x + 2)2 Solution: |
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| 44. |
Let f(x) = 3x - 6 and g(x) = x - 2. Find g/f and its domain. |
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Answer» Let f(x) = 3x - 6 and g(x) = x - 2. Find g/f and its domain. Solution: |
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| 45. |
Which inverse operation would be used to verify the following equation? 54 ÷ 9 = 6 |
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Answer» Which inverse operation would be used to verify the following equation? 54 ÷ 9 = 6 Solution: |
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| 46. |
Solve 1/7 ln(x + 2)7 + 1/2 ln x - ln(x2 + 3x + 2)2 |
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Answer» Solve 1/7 ln(x + 2)7 + 1/2 ln x - ln(x2 + 3x + 2)2 Solution: |
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| 47. |
Find the linear approximation of the function f(x) =√( 4 - x) at a = 0 and use it to approximate the numbers √3.9 and √3.99? |
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Answer» Find the linear approximation of the function f(x) = 4 - x at a = 0 and use it to approximate the numbers √3.9 and √3.99? Solution: |
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| 48. |
Find the linearization l(x) of the function at a. f(x) = x1/2 , a = 25. |
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Answer» Find the linearization l(x) of the function at a. f(x) = x1/2, a = 25. Solution: |
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| 49. |
3(x + y) = y. If (x, y) is a solution to the equation above and y cannot equal 0, what is the ratio x/y? |
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Answer» 3(x + y) = y. If (x, y) is a solution to the equation above and y cannot equal 0, what is the ratio x/y? Solution: |
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| 50. |
Evaluate the integral \(\int_{0}^{1}(8t^{3}i - 15t^{2}j + 20t^{4}k) dt\). |
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Answer» Evaluate the integral\(\int_{0}^{1}(8t^{3}i - 15t^{2}j + 20t^{4}k) dt\). Solution: |
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