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. |
Write a Whole Number as a Fraction |
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Answer» Write a Whole Number as a Fraction Solution: |
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| 2. |
Write each mixed number as a fraction a) 2 3/4 b)1 1/2 c) 5 1/3 |
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Answer» Write each mixed number as a fraction a) 2 3/4 b)1 1/2 c) 5 1/3 Solution: |
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| 3. |
Write five pairs of prime numbers less than 20 whose sum is divisible by 5. |
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Answer» Write five pairs of prime numbers less than 20 whose sum is divisible by 5. Solution: |
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| 4. |
Solve the system by graphing or using a table y = x - 2 and y = -2x + 7 |
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Answer» Solve the system by graphing or using a table y = x - 2 and y = -2x + 7 Solution: |
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| 5. |
What is the slope of a line that passes through (-14, 13) and (7, 0)? |
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Answer» What is the slope of a line that passes through (-14, 13) and (7, 0)? Solution: |
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| 6. |
How long is the arc intersected by a central angle of pi/2 radians in a circle with a radius of 4.5 cm? Round your answer to the nearest tenth. Use 3.14 for pi. |
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Answer» How long is the arc intersected by a central angle of pi/2 radians in a circle with a radius of 4.5 cm? Round your answer to the nearest tenth. Use 3.14 for pi. Solution: |
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| 7. |
Prove that d/dx (csc x) = -csc x cot x. |
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Answer» Prove that d/dx (csc x) = -csc x cot x. Solution: |
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| 8. |
What is the inverse of the function f(x) = 4x + 8? |
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Answer» What is the inverse of the function f(x) = 4x + 8? Solution: |
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| 9. |
For the following geometric sequence find the explicit formula. {12, -6, 3, ...} |
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Answer» For the following geometric sequence find the explicit formula. {12, -6, 3, ...} Solution: |
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| 10. |
Determine the standard variation of the data below. (1, 2, 3, 4, 5) |
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Answer» Determine the standard variation of the data below. (1, 2, 3, 4, 5) Solution: |
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| 11. |
Enter a recursive rule for the geometric sequence. 10, -80, 640, -5120, … |
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Answer» Enter a recursive rule for the geometric sequence. 10, -80, 640, -5120, … Solution: |
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| 12. |
Enter a recursive rule for the geometric sequence. 4, -16, 64, -256, … |
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Answer» Enter a recursive rule for the geometric sequence. 4, -16, 64, -256, … Solution: |
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| 13. |
Is the sequence arithmetic if so identify the common difference 13, 20, 27, 34? |
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Answer» Is the sequence arithmetic if so identify the common difference 13, 20, 27, 34? Solution: |
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| 14. |
Which of the following is a solution of x2 + 6x = -22? -6 - i√52 -6 + i√13 -3 - i√13 -3 + i√52 |
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Answer» Which of the following is a solution of x2 + 6x = -22? Solution: |
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| 15. |
Factor 26r3s + 52r5 - 39r2s4. What is the resulting expression? |
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Answer» Factor 26r3s + 52r5 - 39r2s4. What is the resulting expression? Solution: |
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| 16. |
If f(x) = x + 2, g(x) = x - 4, (fg)(x) = ? |
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Answer» If f(x) = x + 2, g(x) = x - 4, (fg)(x) = ? Solution: |
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| 17. |
Find the number of permutations of 8 things taken 5 at a time. |
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Answer» Find the number of permutations of 8 things taken 5 at a time. Solution: |
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| 18. |
What is h(x) = -3x2 - 6x + 5 written in vertex form? |
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Answer» What is h(x) = -3x2 - 6x + 5 written in vertex form? Solution: |
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| 19. |
Find tan θ if sec θ = square root of thirty seven divided by six and sin θ < 0. |
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Answer» Find tan θ if sec θ = square root of thirty seven divided by six and sin θ < 0 Solution : |
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| 20. |
Find dy/dx. x = t sin(t), y = t2 + 2t |
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Answer» Find dy/dx. x = t sin(t), y = t2 + 2t Solution: |
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| 21. |
What is the product? (5r - 4)(r2 - 6r + 4) |
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Answer» What is the product? (5r - 4)(r2 - 6r + 4) Solution: |
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| 22. |
The diameter of a circle is 6 yards. What is the circle's circumference? |
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Answer» The diameter of a circle is 6 yards. What is the circle's circumference? Solution: |
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| 23. |
Consider the following function. f(x) = 1 - x2/3 Find f(-1) and f(1). |
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Answer» Consider the following function. f(x) = 1 - x2/3 Find f(-1) and f(1). Solution: |
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| 24. |
What is the perimeter of a square with a side measurement of 6 inches? |
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Answer» What is the perimeter of a square with a side measurement of 6 inches? Solution: |
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| 25. |
The diameter of a circle is 8 miles. What is the circle's area? |
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Answer» The diameter of a circle is 8 miles. What is the circle's area? Solution: |
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| 26. |
Use logarithmic differentiation to find the derivative of the function. y = (sin(5x))ln(x) |
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Answer» Use logarithmic differentiation to find the derivative of the function. y = (sin(5x))ln(x) Solution: |
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| 27. |
What is the sum of the first eight terms of the series? (-800) + (-200) + (-50) + (-12.5) + ... |
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Answer» What is the sum of the first eight terms of the series? (-800) + (-200) + (-50) + (-12.5) + ... Solution: |
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| 28. |
Find f + g, f - g, fg, and f/g and their domains. f(x) = 4 - x, g(x) = x2 - 3x |
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Answer» Find f + g, f - g, fg, and f/g and their domains. f(x) = 4 - x, g(x) = x2 - 3x Solution: |
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| 29. |
Find the equation of a circle that passes through (7, -1) and has a center of (-2, 4)? |
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Answer» Find the equation of a circle that passes through (7, -1) and has a center of (-2, 4)? Solution: |
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| 30. |
Write in the international system: 1152583. |
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Answer» Write in the international system: 1152583. Solution: |
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| 31. |
If the volume of a cube is 8, what is the surface area? |
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Answer» If the volume of a cube is 8, what is the surface area? Solution: |
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| 32. |
Identify the GCF of 10x4y3 - 5x3y2 + 20x2y. |
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Answer» Identify the GCF of 10x4y3 - 5x3y2 + 20x2y. Solution: |
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| 33. |
Write the following equation in the general form ax + by + c = 0 for the equation 2x + y = 6. |
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Answer» Write the following equation in the general form ax + by + c = 0 for the equation 2x + y = 6. Solution: |
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| 34. |
Write the formula to find the number of onto functions from set A to set B. |
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Answer» Write the formula to find the number of onto functions from set A to set B. Solution: |
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| 35. |
Write the fraction as a mixed number. |
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Answer» Write the fraction as a mixed number. Solution: |
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| 36. |
Write the names according to the International system of numeration: (a) 78921092 (b) 7452283 (c) 99985102 (d) 48049831 |
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Answer» Write the names according to the International system of numeration: (a) 78921092 (b) 7452283 (c) 99985102 (d) 48049831 Solution: |
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| 37. |
Write the natural numbers from 2 to 12. What fraction of them are prime numbers? |
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Answer» Write the natural numbers from 2 to 12. What fraction of them are prime numbers? Solution: |
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| 38. |
Write the number names of the following numerals in the Indian System: 1) 7532105 2) 97563453 |
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Answer» Write the number names of the following numerals in the Indian System: 1) 7532105 2) 97563453 Solution: |
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| 39. |
Write the odd numbers between 36 and 53. |
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Answer» Write the odd numbers between 36 and 53 Solution: |
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| 40. |
Write the Quadratic Equation in General Form and then Choose the Value of "b." (2x - 1)(x + 5) = 0 |
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Answer» Write the Quadratic Equation in General Form and then Choose the Value of "b." (2x - 1)(x + 5) = 0 Solution: |
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| 41. |
Write the quadratic equation in standard form and then choose the value of "b." (2x - 1)(x + 5) = 0 |
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Answer» Write the quadratic equation in standard form and then choose the value of "b." (2x - 1)(x + 5) = 0 Solution: |
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| 42. |
Write the smallest 4-digit number formed using the digits 8, 3, 0, 1: (1) 1038 (2) 1308 (3) 1083 (4) 0138 |
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Answer» Write the smallest 4-digit number formed using the digits 8, 3, 0, 1: (1) 1038 (2) 1308 (3) 1083 (4) 0138 Solution: |
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| 43. |
Write the smallest digit and the largest digit in the blanks space of each of the following numbers so that the number formed is divisibly by 11.a)92_389b) 8 __ 9484 |
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Answer» Write the smallest digit and the largest digit in the blanks space of each of the following numbers so that the number formed is divisibly by 11.a)92_389b) 8 __ 9484 Solution: |
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| 44. |
Write the smallest natural number. Can you write the largest natural number? |
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Answer» Write the smallest natural number. Can you write the largest natural number? Solution: |
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| 45. |
Write the standard form of the equation of the circle |
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Answer» Write the standard form of the equation of the circle Solution: |
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| 46. |
Write the three whole numbers occurring just before 10001 |
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Answer» Write the three whole numbers occurring just before 10001 Solution: |
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| 47. |
Writing the equation of the line through two given points (2, 2) and (3, 4). |
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Answer» Writing the equation of the line through two given points (2, 2) and (3, 4). Solution: |
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| 48. |
x + 3|x| = 10. Find the value of x |
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Answer» x + 3|x| = 10. Find the value of x Solution: |
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| 49. |
Use distributive property to find (x4- 3x3 + 3x2 - 3x + 6) (x - 2). |
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Answer» Use distributive property to find (x4- 3x3 + 3x2 - 3x + 6) (x - 2). Distributive Property Formula is given by a× (b +c) =a× b +a× c |
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| 50. |
X and Y can finish a piece of work in 30 days. Six days they work together and then X quits the work. Y takes 32 days to finish the work. Calculate how many days Y take to complete the piece of work: (1) 32 days (2) 10 days (3) 30 days (4) 40 days |
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Answer» X and Y can finish a piece of work in 30 days. Six days they work together and then X quits the work. Y takes 32 days to finish the work. Calculate how many days Y take to complete the piece of work: (1) 32 days (2) 10 days (3) 30 days (4) 40 days Solution: |
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