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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. |
What is the measure of arc AB when m angle APB = 78. |
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Answer» What is the measure of arc AB when m angle APB = 78.
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| 2. |
What is the equation of a horizontal line passing through the point (-3, 8)? |
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Answer» What is the equation of a horizontal line passing through the point (-3, 8)? Solution: |
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| 3. |
What is the equation of the plane that contains the triangle shown in the diagram. |
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Answer» What is the equation of the plane that contains the triangle shown in the diagram.
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| 4. |
The formula of (cot A - B) is? |
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Answer» The formula of (cot A - B) is (cot A cot B + 1) / (cot B – cot A) Trigonometrydeals with the measurement of angles and helps us study the relationship between the sides and angles of a right-angled triangle.Trigonometric identities are equations that relate different trigonometric functions and are true for any value of the variable that is there in the domain. |
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| 5. |
What is the area of a regular hexagon with an apothem of 6m in length? |
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Answer» What is the area of a regular hexagon with an apothem of 6m in length? Solution: |
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| 6. |
Eliminate the parameter. x = 5t, y = t + 8 |
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Answer» Eliminate the parameter. x = 5t, y = t + 8 Solution: |
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| 7. |
Given the function f(x) = 2(x + 8), find x if f(x) = 12. |
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Answer» Given the function f(x) = 2(x + 8), find x if f(x) = 12. Solution: |
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| 8. |
Which of the following can be modeled with a linear function? Select all that apply. The cost per visit to a community pool. The neighborhood charges a yearly fee to use the pool. The cost to attend a show at the local theatre. Tickets are $12 each. An endangered species population is decreasing by 15% each year. The distance a bicyclist travels when cycling at a constant speed of 30 mph. The population of a town grows at a constant rate each year. |
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Answer» Which of the following can be modeled with a linear function? Select all that apply. The cost per visit to a community pool. The neighborhood charges a yearly fee to use the pool. The cost to attend a show at the local theatre. Tickets are $12 each. An endangered species population is decreasing by 15% each year. The distance a bicyclist travels when cycling at a constant speed of 30 mph. The population of a town grows at a constant rate each year. Solution: |
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| 9. |
Subtract -2k3 + k2 - 9 from 5k3 - 3k + 7. |
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Answer» Subtract -2k3+ k2- 9 from 5k3- 3k + 7. Solution: |
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| 10. |
If (-2, y) lies on the graph of y = 3x, then what is y? |
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Answer» If (-2, y) lies on the graph of y = 3x, then what is y? Solution: |
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| 11. |
Given the following sample data: 18, 21, 32, 41 1) Calculate the sample variance. Keep to 2 decimal places. 2) Determine the sample standard deviation. Keep to two decimal places |
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Answer» Given the following sample data: 18, 21, 32, 41 1) Calculate the sample variance. Keep to 2 decimal places. 2) Determine the sample standard deviation. Keep to two decimal places Solution: |
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| 12. |
The function f(x) = -(x + 5)(x + 1) is shown. What is the range of the function? |
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Answer» The function f(x) = -(x + 5)(x + 1) is shown. What is the range of the function? Solution: |
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| 13. |
Simplify the rational expression state any restrictions on the variable t2 + 4t - 12/t2 - 4 |
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Answer» Simplify the rational expression state any restrictions on the variable t2 + 4t - 12/t2 - 4 Solution: |
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| 14. |
Evaluate the \(\sum_{n=1}^{14}\) 3n + 2 |
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Answer» Evaluate the\(\sum_{n=1}^{14}\) 3n + 2 Solution: |
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| 15. |
Which of the following equations below represent the standard form of the equation of a parabola with vertex at (0,-5) and focus at (0,-9). |
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Answer» Which of the following equations below represent the standard form of the equation of a parabola with vertex at (0,-5) and focus at (0,-9). Solution: |
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| 16. |
Determine the solution set of x2 - 80 = 0. |
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Answer» Determine the solution set of x2 - 80 = 0. Solution: |
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| 17. |
Find an equation of the tangent plane to the given surface at the specified point. x2+ y2+ z2= 0; (0,0,3) |
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Answer» Find an equation of the tangent plane to the given surface at the specified point. x2+ y2+ z2= 0; (0,0,3) Solution: |
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| 18. |
The function g(x) is defined as g(x) = 3(x+8). What is the value of g(0) and g(12)? |
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Answer» For the function g(x) defined as shown g(x) = 3(x+8), thevalue of g (0) is 24 and the value of g (12) is 60. A function is a relationship between an input and output variable where the output depends upon the input value. |
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| 19. |
Simplify the expression (2x - 6)(3x2 - 3x - 6). |
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Answer» Simplify the expression (2x - 6)(3x2- 3x - 6). Solution: |
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| 20. |
The range of the following relation r {(3, -2), (1, 2), (-1, -4), (-1, 2)} is |
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Answer» The range of the following relation r {(3, -2), (1, 2), (-1, -4), (-1, 2)} is Solution: |
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| 21. |
Find the exact area of the surface obtained by rotating the curve about the x-axis. y = √8 - x, 2 ≤x ≤8 |
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Answer» Find the exact area of the surface obtained by rotating the curve about the x-axis. y = √8 - x, 2 ≤ x ≤8 Solution: |
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| 22. |
How many different committees of 7 people can be formed from a group of 10 people? |
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Answer» How many different committees of 7 people can be formed from a group of 10 people? Solution: |
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| 23. |
What is the equation of the horizontal line that passes through the point (-8, -7). |
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Answer» What is the equation of the horizontal line that passes through the point (-8, -7). Solution: |
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| 24. |
Which equation represents a line that has a slope of 4 and passes through the point (3, -8)? |
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Answer» Which equation represents a line that has a slope of 4 and passes through the point (3, -8)? Solution: |
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| 25. |
The range of the function f(x) = x + 5 is {7, 9}. What is the function’s domain? |
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Answer» The range of the function f(x) = x + 5 is {7, 9}. What is the function’s domain? Solution: |
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| 26. |
The equation sin(40°) = can be used to determine the length of line segment AC. What is the length of ? Round to the nearest tenth |
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Answer» The equation sin(40°) = can be used to determine the length of line segment AC. What is the length of ? Round to the nearest tenth
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| 27. |
Find dy/dx. x = t sin(t), y = t2 + 7t |
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Answer» Find dy/dx. x = t sin(t), y = t2 + 7t Solution: |
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| 28. |
Simplify the expression (8x - 5)(2x2 - 5x - 6). |
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Answer» Simplify the expression (8x - 5)(2x2- 5x - 6). Solution: |
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| 29. |
Determine the points at which the graph of the function has a horizontal tangent line. f(x) = x2 - 8 |
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Answer» Determine the points at which the graph of the function has a horizontal tangent line. f(x) = x2 - 8 Solution: |
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| 30. |
What is the sum of the arithmetic series from (5 to n - 1) Sigma (3n - 2) |
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Answer» What is the sum of the arithmetic series from (5 to n - 1) Sigma (3n - 2) Solution: |
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| 31. |
What is the value of x? x = cm |
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Answer» What is the value of x? x = cm
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| 32. |
Given sin x = 3/5 and x is in quadrant 2. What is the value of tan x/2 |
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Answer» Given sin x = 3/5 and x is in quadrant 2. What is the value of tan x/2 Solution: |
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| 33. |
Find all solutions to the equation. cos2x + 2 cos x + 1 = 0 |
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Answer» Find all solutions to the equation. cos2x + 2 cos x + 1 = 0 Solution: |
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| 34. |
What is the equation of a horizontal line passing through the point (1, 14)? |
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Answer» What is the equation of a horizontal line passing through the point (1, 14)? Solution: |
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| 35. |
What is the fourth term of the expansion of the binomial (2x + 5)5? |
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Answer» What is the fourth term of the expansion of the binomial (2x + 5)5? Solution: |
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| 36. |
What are the solutions to the equation 3(x - 4)(x + 5) = 0? |
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Answer» What are the solutions to the equation 3(x - 4)(x + 5) = 0? Solution: |
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| 37. |
The tangent of an angle is 7.5. What is the measure of the angle to the nearest tenth? |
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Answer» The tangent of an angle is 7.5. What is the measure of the angle to the nearest tenth? Solution: |
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| 38. |
Using each of the numbers 1 to 9 once and once only, find two whole numbers, one of which is double the other? |
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Answer» Using each of the numbers 1 to 9 once and once only, find two whole numbers, one of which is double the other? Solution: |
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| 39. |
If h(x) = 5 + x and k(x) = 1/x, what expression is equivalent to (k × h)(x)? |
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Answer» If h(x) = 5 + x and k(x) = 1/x, what expression is equivalent to (k × h)(x)? Solution: |
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| 40. |
Which of the following could be the side lengths of a right triangle? 3, 13 and 14 4, 5 and 6 5, 12 and 13 5, 10 and 15 |
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Answer» Which of the following could be the side lengths of a right triangle? Solution: |
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| 41. |
True or False. If f and g are inverse functions, the domain of f is the same as the range of g. |
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Answer» True or False. If f and g are inverse functions, the domain of f is the same as the range of g. Solution: |
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| 42. |
Find the vertex and axis of symmetry of f(x) = -3x2 + 12x - 6? |
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Answer» Find the vertex and axis of symmetry of f(x) = -3x2+ 12x - 6? Solution: |
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| 43. |
Find the linearization l(x) of the function at a. f(x) = x4/5, a = 32 |
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Answer» Find the linearization l(x) of the function at a. f(x) = x4/5, a = 32 Solution: |
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| 44. |
Let f be the function defined. For what values of b is f continuous at x = 2 f(x) = {ebx for x ≤ 2 {1.5x + b for x ≥ 2 |
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Answer» Let f be the function defined. For what values of b is f continuous at x = 2 f(x) = {ebx for x ≤ 2 {1.5x + b for x ≥ 2 Solution: |
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| 45. |
What is the domain of f(x) = log2(x + 3) + 2? |
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Answer» What is the domain of f(x) = log2(x + 3) + 2? Solution: |
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| 46. |
What are the domain and range of f (x) = 2 (3x)? |
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Answer» The domain and the range of the functionf (x) = 2 (3x)is ( - ∞, ∞). The domain of a function is defined as theinput values for whichthe function is defined. The rangeis defined as the output values. |
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| 47. |
What is the range of the function g(x) = |x - 12| - 2? |
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Answer» What is the range of the function g(x) = |x - 12| - 2? Solution: |
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| 48. |
What is the domain and range of the function f(x) = 4(3 square root 81)x? |
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Answer» What is the domain and range of the function f(x) = 4(3 square root 81)x? Solution: |
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| 49. |
What is the domain and range of f(x) = |x + 6|? |
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Answer» What is the domain and range of f(x) = |x + 6|? Solution: |
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| 50. |
What is the sum of the first 10 terms of the sequence defined by an = 3n - 3 ? |
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Answer» What is the sum of the first 10 terms of the sequence defined by an = 3n - 3? Solution: |
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