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This section includes 154 Mcqs, each offering curated multiple-choice questions to sharpen your Arithmetic knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
I. 14x2 – 5 √15x – 90 = 0 II. 6y2 +√21y – 21 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» F. | |
| 2. |
I. x2 + 9x + 18 = 0 II. y2 – 13y + 40 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» E. if x = y or relationship between x and y can't be established | |
| 3. |
I. x2 – 6x = 7 II. 2y2 + 13y + 15 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» B. if x ≤ y | |
| 4. |
I.10x2 – 7x + 1 = 0 II. 35y2 – 12y + 1 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» D. if x < y | |
| 5. |
I. 15x2 – 11x + 2 = 0 II. 10y2 – 9y + 2 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» C. if x ≥ y | |
| 6. |
I.x3/2– 81 = 0 √x II. 16 y2=(102 – 19) |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» F. | |
| 7. |
I.9x2–24x + 16 = 0 II. 1 – 1 = 5y–2/3 y1/3 y2/3 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» E. if x = y or relationship between x and y can't be established | |
| 8. |
I.7x2– 16x – 15 = 0 II.5y2– 4y – 12 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» F. | |
| 9. |
I.3x2– 20x + 12 = 0 II.4y2– 13y – 12 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» F. | |
| 10. |
I. 37x2 – 49x – 186 = 0 II. 60y2 – 326y – 22 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» F. | |
| 11. |
I. 13x2 – 55x – 252 = 0 II. 148y2 + 61y – 155 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» F. | |
| 12. |
I. 36x2 – 196x – 11 = 0 II. 6y2 – 12y – 378 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» F. | |
| 13. |
I. 9x2 – 8x – 20 = 0 II. 20y2 + 193y + 210 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» B. if x ≤ y | |
| 14. |
I.42x2 + 13x + 1 = 0 II. 9y2 – 53y – 6 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» E. if x = y or relationship between x and y can't be established | |
| 15. |
I. 8x2 + 10x – 7 = 0 II. y2 – 6y + 8 = 0 |
| A. | if x > y |
| B. | if x < y |
| C. | if x ≥ y |
| D. | if x ≤ y |
| E. | if the relation cannot be established |
| Answer» C. if x ≥ y | |
| 16. |
I. x2 – 24x + 135 = – 8 II. y2 + 17y – 31 = 7 |
| A. | if x > y |
| B. | if x < y |
| C. | if x ≥ y |
| D. | if x ≤ y |
| E. | if the relation cannot be established |
| Answer» B. if x < y | |
| 17. |
I. x2 – 14x + 48 = 0 II. y2 – 23y + 90 = 0 |
| A. | if x > y |
| B. | if x < y |
| C. | if x ≥ y |
| D. | if x ≤ y |
| E. | if the relation cannot be established |
| Answer» F. | |
| 18. |
I. 5x2 − 6x − 63 = 0 II. 4y2 + y − 39 = 0 |
| A. | if x > y |
| B. | if x < y |
| C. | if x ≥ y |
| D. | if x ≤ y |
| E. | if the relation cannot be established |
| Answer» F. | |
| 19. |
I. 15x2 – 23x + 6 = 0 II. 6y2 + 23y + 40 = 18 |
| A. | if x > y |
| B. | if x < y |
| C. | if x ≥ y |
| D. | if x ≤ y |
| E. | if the relation cannot be established |
| Answer» B. if x < y | |
| 20. |
I. 4x2 – 33x + 63 = 0 II. 5y2 – 37y + 54 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» F. | |
| 21. |
I. x2 – 11x + 30 = 0 II. y2 – 9.5y + 22.5 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» D. if x < y | |
| 22. |
I. 2x2 + 3x – 20 = 0 II. 2y2 + 15y + 28 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» F. | |
| 23. |
I. x2 + 16x + 63 = 0 II. y2 + 13y + 42 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» C. if x ≥ y | |
| 24. |
I. 2x2 + 51x + 220 = 0 II. y2 – y – 12 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» E. if x = y or relationship between x and y can't be established | |
| 25. |
I.x2– 44x + 475 = 0 II.y2– 4y – 621 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x > y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» F. | |
| 26. |
I.7x2+ √7x – 20 = 0 II.7y2– 10√7y + 21 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» F. | |
| 27. |
I.6x2+ 31x – 77 = 0 II.9y2– 52y + 64 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» F. | |
| 28. |
I.7x2– 110x + 247 = 0 II.14y2– 79y – 78 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» F. | |
| 29. |
I.x2– 19x + 84 = 0 II.y2– 19y + 88 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» F. | |
| 30. |
I.x2– 9 = 0 II.2y2+ 13y + 21 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | If x = y or the relation between x and y can't be determined |
| Answer» D. if x < y | |
| 31. |
I.x2– 9x + 18 = 0 II.y2– 9√2y + 36 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | If x = y or the relation between x and y can't be determined |
| Answer» F. | |
| 32. |
I.x2– x – 20 = 0 II.y2+ y – 30 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» F. | |
| 33. |
I.x2– 9x + 20 = 0 II.2y2– 15y + 28 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» D. if x < y | |
| 34. |
I.x2– 4√3x + 9 = 0 II.y2– √3y – 18 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» F. | |
| 35. |
I. 5x2 − 6x − 63 = 0 II. 4y2 + y − 39 = 0 |
| A. | if x > y |
| B. | if x < y |
| C. | if x ≥ y |
| D. | if x ≤ y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» F. | |
| 36. |
I. 6x2 + 11x – 35 = 0 II. 5y2 – 2y – 9 = 0 |
| A. | if x > y |
| B. | if x < y |
| C. | if x ≥ y |
| D. | if x ≤ y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» F. | |
| 37. |
I. 2x2 – 8x – 24 = 0 II. 9y2 – 12y + 4 = 0 |
| A. | if x > y |
| B. | if x < y |
| C. | if x ≥ y |
| D. | if x ≤ y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» F. | |
| 38. |
I. x2 – 52 x = 48 II. y2 – 22y = 30 |
| A. | if x > y |
| B. | if x ≥ y |
| C. | if x < y |
| D. | if x ≤ y |
| E. | If x = y or the relation between x and y can't be determined |
| Answer» F. | |
| 39. |
I. x2 – 372x + 140 = 0 II. y2 + 13 3y + 120 = 0 |
| A. | if x > y |
| B. | if x ≥ y |
| C. | if x < y |
| D. | if x ≤ y |
| E. | If x = y or the relation between x and y can't be determined |
| Answer» B. if x ≥ y | |
| 40. |
I. 4x2 – (16 + 10)x + 410 = 0 II. 4y2 – (8 + 57)y + 107 = 0 |
| A. | if x > y |
| B. | if x ≥ y |
| C. | if x < y |
| D. | if x ≤ y |
| E. | if x = y or the relation between x and y can't be determined |
| Answer» F. | |
| 41. |
I. x3 × 13 = x2 × 247 II. y1/3 × 14 = 294 ÷ y2/3 |
| A. | if x > y |
| B. | if x ≥ y |
| C. | if x < y |
| D. | if x ≤ y |
| E. | if x = y or the relation between x and y can't be determined |
| Answer» D. if x ≤ y | |
| 42. |
I. x2 – 11x + 24 = 0 II. 2y2 – 9y + 9 = 0 |
| A. | if x > y |
| B. | if x ≥ y |
| C. | if x < y |
| D. | if x ≤ y |
| E. | if x = y or the relation between x and y can't be determined |
| Answer» C. if x < y | |
| 43. |
I. x2 + 52x –72 = 0 II. y2 – 22y –30 = 0 |
| A. | if x > y |
| B. | if x ≥ y |
| C. | if x < y |
| D. | if x ≤ y |
| E. | if x = y or the relation between x and y can't be determined |
| Answer» F. | |
| 44. |
I. x2 – 33x – 54 = 0 II. y2 – 72y – 36 = 0 |
| A. | if x > y |
| B. | if x ≥ y |
| C. | if x < y |
| D. | if x ≤ y |
| E. | if x = y or the relation between x and y can't be determined |
| Answer» F. | |
| 45. |
I.48x2– 24x + 3 = 0 II.55y2+ 53y + 12 = 0 |
| A. | if x > y |
| B. | if x < y |
| C. | if x ≥ y |
| D. | if x ≤ y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» B. if x < y | |
| 46. |
I. x2– 25x + 114 = 0 II.y2– 10y + 24 = 0 |
| A. | if x > y |
| B. | if x < y |
| C. | if x ≥ y |
| D. | if x ≤ y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» D. if x ≤ y | |
| 47. |
I.4x3+ 24x2– 64x = 0 II.3y2+ 39y + 126 = 0 |
| A. | if x > y |
| B. | if x < y |
| C. | if x ≥ y |
| D. | if x ≤ y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» F. | |
| 48. |
I.x2– 3 = 2x II.y2+ 5y + 6 = 0 |
| A. | if x > y |
| B. | if x < y |
| C. | if x ≥ y |
| D. | if x ≤ y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» B. if x < y | |
| 49. |
I.x5– 41x3+ 400x = 0 II.y2– 14y + 30 = −18 |
| A. | if x > y |
| B. | if x < y |
| C. | if x ≥ y |
| D. | if x ≤ y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» C. if x ≥ y | |
| 50. |
I. 56x2+ 15x – 56 = 0 II. 7y2– 34y – 48 = 0 |
| A. | if x < y |
| B. | if x = y or relationship between x and y can't be established |
| C. | if x > y |
| D. | if x ≥ y |
| E. | if x ≤ y |
| Answer» C. if x > y | |