The IBPS Clerk 2025 exam is one of the most popular banking recruitment exams in the country, offering thousands of vacancies in participating public sector banks. Among the various sections asked in the Prelims stage, the Numerical Ability section holds a lot of weightage and requires speed as well as accuracy. Out of the total questions, quadratic equations form a recurring topic that tests candidates’ conceptual clarity and problem-solving skills.
Quadratic Equations for IBPS Clerk 2025 Exam
Quadratic equations are a scoring part of the Numerical Ability section of the IBPS Clerk exam, as they are direct in approach and do not require lengthy calculations if concepts are clear. Candidates who practice enough questions from this topic can easily solve them within seconds, thus saving valuable time for more challenging problems. Since the exam is highly time-bound, these questions help maximise the overall score.
Top 50+ Quadratic Equations Questions for IBPS Clerk 2025 Exam
To help aspirants, we have compiled a set of 50+ important quadratic equations questions specially designed for IBPS Clerk 2025 preparation.
Directions (1-5): In each of these questions, two equation (I) and (II) are given. You have to solve both the equations and give answer
(a) If x>y
(b) If xy
(c) If x<y
(d) If xy
(e) If x = y or no relation can be established between x and y
Q1. I. x² + 13x – 114 = 0
II. y³ = 216
Q2. I. x²-6x+12=4
II. y²+4y-10=-13
Q3. I. 12x²-7x+1=0
II. 20y²-9y+1=0
Q4. I. x²+26x+165=0
II. y²+23y+132=0
Q5. I. x²+x-6=0
II. 15y²-11y+2=0
Direction (6 – 10): In each of the following questions two equations are given. Solve these equations and give answer:
(a) if x≥y, i.e., x is greater than or equal to y
(b) if x>y, i.e., x is greater than y
(c) if x≤y, i.e., x is less than or equal to y
(d) if x<y, i.e., x is less than y
(e) x=y or no relation can be established between x and y
Q6. (i) x² + 9 = 73
(ii) y³ = 512
Q7. (i) x² + 11x + 18 = 0
(ii) y² + 19y + 90 = 0
Q8. (i). x²-10x+21= 0
(ii). y² –5y+6=0
Q9. (i) 2x² + x – 1 = 0
(ii) 2y² + 3y + 1 =0
Q10. (i). 2x² + 13x + 21 = 0
(ii). 2y² + 11y + 14 = 0
Direction (11 – 15): In each of these questions, two equation (I) and (II) are given. You have to solve both the equations and give answer.
(a) If x=y or no relation can be established.
(b) If x>y
(c) If x<y
(d) If xy
(e) If xy
Q11. (I) x³ – 12 – 1319 = 0
(II) y² – 21 – 100 = 0
Q12. I. 12x²-7x+1=0
II. y²+23y+132=0
Q13. (I) x²+ 9x – 52 = 0
(II) 12y² + 16y + 4 = 0
Q14. (I) x² – x – 210 = 0
(II) y² – 31y + 240 = 0
Q15. (I) 2x² – 8x – 24 = 0
(II) 9y² – 12y + 4 = 0
Directions (16-20): In each question two equations (I) and (II) are given. You should solve both the equations and mark appropriate answer.
(a) If x > y
(b) If x ≥ y
(c) If x < y
(d) If x ≤ y
(e) If = y or the relationship cannot be established.
Q16. I. 2x² – 7x + 5 = 0
II. y² – 3y + 2 = 0
Q17. I. x² – 25x + 156 = 0
II. y² – 29y + 210 = 0
Q18. I. x² + 20x + 96 = 0
II. y² + 15y + 56 = 0
Q19. I. x² – 3x – 40 = 0
II. 2y² + 11y + 15 = 0
Q20. I. x² – 16x + 64 = 0
II. y² – 14y + 48 = 0
Directions (21-25): In each of these questions, two equation (I) and (II) are given. You have to solve both the equations and give answer
(a) If x>y
(b) If xy
(c) If x<y
(d) If xy
(e) If x = y or no relation can be established between x and y
Q21. I. x²-3x-108=0
II. y²-26y+168=0
Q22. I. 3x²-23x+20=0
II. 6y²-31y+18=0
Q23. I. 12x²+16x-11=0
II. 7y²-22y+15=0
Q24. I. x²+7x-8=0
3y²-14y+15=0
Q25. I. x²-13x+42=0
II. y²-15y+56=0
Directions (26-30): In each of these questions, two equation (I) and (II) are given. You have to solve both the equations and give answer
(a) If x>y
(b) If xy
(c) If x<y
(d) If xy
(e) If x = y or no relation can be established between x and y
Q26. I. 3x²-35x+98=0
II. 2y²+9y-45=0
Q27. I. x³-43=1685
II. 2y²=288
Q28. I. x²+25x+114=0
II. y²+11y+30=0
Q29. I. 9x²-54x+80=0
II. 8y²-46y+65=0
Q30. I. x²-x-56=0
II. y²-20y+91=0
Directions (31-35): In each of these questions, two equation (I) and (II) are given. You have to solve both the equations and give answer
(a) If x>y
(b) If xy
(c) If x<y
(d) If xy
(e) If x = y or no relation can be established between x and y
Q31. I. x²+3x-154=0
II. y²-29y+198=0
Q32. I. 2x²-25x+42=0
II. 3y²-32y+85=0
Q33. I. 5x²-24x+19=0
II. 4y²-19y+21=0
Q34. I. x²+2x-224=0
II. y²+34y+288=0
Q35. I. x²-48=313
II. y³=6859
Directions (36-40): In each of these questions, two equation (I) and (II) are given. You have to solve both the equations and give answer
(a) If x> y
(b) If x y
(c) If x< y
(d) If x y
(e) If x = y or no relation can be established between x and y
Q36. I. x²-3x-88=0
II. y²+8y-48=0
Q37. I. 2x²+21x+10=0
II. 3y²+13y+14=0
Q38. I. x³=27
II. y²+3y-18=0
Q39. I. x²+2x-8=0
II. y²+y-12=0
Q40. I. 2x²-7x+6=0
II. y²-9y+14=0
Directions (41-45): In each of these questions, two equation (I) and (II) are given. You have to solve both the equations and give answer.
(a) If x>y
(b) If xy
(c) If x<y
(d) If xy
(e) If x = y or no relation can be established between x and y
Q41. I. x²+3x-40=0
II. y²-11y+30=0
Q42. I. 2x²+7x-15=0
II. 3y²+5y-12=0
Q43. I. 2x²+26x+84=0
II. y²+15y+56=0
Q44. I. x²+2x-224=0
II. y²+34y+288=0
Q45. I. x²-4x=221
II. y³=6859
Directions (46-50): In each of these questions, two equations (i) and (ii) are given. You have to solve both the equations and give answer
(a) if x>y
(b) if xy
(c) if x = y or no relation can be established between x and y.
(d) if y>x
(e) if y≥x
Q46. (i) x² – 12x + 32 = 0
(ii) y² – 20y + 96 = 0
Q47. (i) 2x² – 3x – 20 = 0
(ii) 2y² + 11y + 15 = 0
Q48. (i) x² – x – 6 = 0
(ii) y² – 6y + 8 = 0
Q49. (i) x² + 14x – 32 = 0
(ii) y² – y – 12 = 0
Q50. (i) x² – 9x + 20 = 0
(ii) 2y² – 12y + 18 = 0
| Answers | |||||||||
| 01 | 02 | 03 | 04 | 05 | 06 | 07 | 08 | 09 | 10 |
| d | a | b | e | e | c | a | a | e | e |
| 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
| d | b | a | e | a | e | c | d | e | b |
| 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 |
| d | e | c | c | d | a | b | d | e | e |
| 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 |
| d | e | e | b | d | e | e | b | e | d |
| 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 | 50 |
| d | e | b | b | c | e | b | c | c | a |
Why Practice Quadratic Equations for IBPS Clerk Exam?
Practising quadratic equations ensures aspirants can quickly identify whether a quadratic has equal roots, distinct roots, or no solution, and then solve accordingly. Questions in IBPS Clerk often come in the form of comparing the values of two variables (x and y) after solving the given quadratic equations. Regular practice:
- Improves calculation speed
- Boosts accuracy in comparing values
- Builds confidence for attempting similar types of questions in the Mains exam as well
| Related Posts | |
| IBPS Clerk Salary | IBPS Clerk Syllabus |
| IBPS Clerk Eligibility | IBPS Clerk Previous Year Papers |
| IBPS Clerk Selection Process | IBPS Clerk Preparation Strategy |
| IBPS Clerk Mock Test |
|
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