Top 50 Quadratic Equations for IBPS Clerk Exam 2025: The IBPS Clerk 2025 exam is a highly competitive banking recruitment test that attracts lakhs of aspirants every year. Within the Numerical Ability section of the Prelims stage, one of the frequently asked topics is Quadratic Equations. This area not only evaluates a candidate’s conceptual clarity but also demands speed, accuracy, and smart problem-solving techniques. Since quadratic equations appear regularly in the exam, mastering this topic can give candidates a strong edge in improving their overall score and clearing the cut-off.
Quadratic Equations for IBPS Clerk 2025 Exam
Quadratic equations form one of the most scoring topics in the Numerical Ability section of the IBPS Clerk 2025 Exam. These questions are generally straightforward and formula-based, making them easier to attempt compared to lengthy arithmetic or word problems. With the right practice, candidates can solve quadratic equation questions within seconds, saving precious time for other challenging parts of the paper. Since the exam is highly time-bound, mastering quadratic equations not only boosts speed and accuracy but also helps in maximizing the overall score.
Top 50 Quadratic Equations for IBPS Clerk Exam 2025
To help aspirants, we have compiled a set of 50+ important Quadratic Equations questions specially designed for IBPS Clerk 2025 preparation. These practice questions will not only strengthen your conceptual clarity but also boost your speed and accuracy for the upcoming exam.
Table of Contents
Directions (1-5): In each of these questions, two equation (1) 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
Q1.1. x ^ 2 + 13x – 114 = 0
II. y ^ 3 = 216
Q2. 1. x ^ 2 – 6x + 12 = 4
II. y ^ 2 + 4y – 10 = – 13
23.1 * 0.12x ^ 2 – 7x + 1 = 0
II. 20y ^ 2 – 9y + 1 = 0
Q4. 1. x ^ 2 + 26x + 165 = 0
II. y ^ 2 + 23y + 132 = 0
Q5 .1. x ^ 2 + x – 6 = 0
1.15y ^ 2 – 11y + 2 = 0
Direction (6-10): In each of the following questions two equations are given. Solve these equations and give answer:
(a) if xzy, i.e., x is greater than or equal to y
(b) if x>y, i.e., x is greater than y
(c) if xsy, l.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) x ^ 2 + 9 = 73
(ii) y ^ 3 = 512
Q7. ( 1) x + 11x + 18 = 0
(ii) y ^ 2 + 19y + 90 = 0
Q8. (i) x ^ 2 – 10x + 21 = 0
(ii). y ^ 2 – 5y + 6 = 0
Q9. (i) 2x ^ 2 + x – 1 = 0
(ii) 2y ^ 2 + 3y + 1 = 0
Q10. (i). 2x ^ 2 + 13x + 21 = 0
(ii). 2y ^ 2 + 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. (1) x ^ 3 – 12 – 1319 = 0
(II) y ^ 2 – 21 – 100 = 0
212.1 * 0.12x ^ 2 – 7x + 1 = 0
II. y ^ 2 + 23y + 132 = 0
Q13. (1) x ^ 2 + 9x – 52 = 0
(II) 12y ^ 2 + 16y + 4 = 0
Q14. (1) x ^ 2 – x – 210 = 0
(II) y ^ 2 – 31y + 240 = 0
Q15. (1) 2x ^ 2 – 8x – 24 = 0
(II) 9y ^ 2 – 12y + 4 = 0
Directions (16-20): In each question two equations (1) and (II) are given. You should solve both the equations and mark appropriate answer.
(a) If x > y
(b) If x 2 y
(c) If x < y
(d) If x ≤ y
(e) If y or the relationship cannot be established.
Q16. 1.2x ^ 2 – 7x + 5 = 0
II. y ^ 2 – 3y + 2 = 0
Q17 .1. x ^ 2 – 25x + 156 = 0
II. y ^ 2 – 29y + 210 = 0
118.1. x ^ 2 + 20x + 96 = 0
II. y ^ 2 + 15y + 56 = 0
19.1. x ^ 2 – 3x – 40 = 0
II. 2y ^ 2 + 11y + 15 = 0
220.1. x ^ 2 – 16x + 64 = 0
II. y ^ 2 – 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
21.1. x ^ 2 – 3x – 108 = 0
II. y ^ 2 – 26y + 168 = 0
2.1 * 0.3x ^ 2 – 23x + 20 = 0
II. 6y ^ 2 – 31y + 18 = 0
Q23 3.1 * 0.12x ^ 2 + 16x – 11 = 0
II. 7y ^ 2 – 22y + 15 = 0
3y ^ 2 – 14y + 15 = 0
24,1. x ^ 2 + 7x – 8 = 0
Q25. 1. x ^ 2 – 13x + 42 = 0
II. y ^ 2 – 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
26.1 * 0.3x ^ 2 – 35x + 98 = 0
1.2y ^ 2 + 9y – 45 = 0
Q27. 1. x ^ 3 – 43 = 1685
II. 2y ^ 2 = 288
Q28. 1. x ^ 2 + 25x + 114 = 0
II y ^ 2 + 11y + 30 = 0
229.1 * 0.9x ^ 2 – 54x + 80 = 0
1.8y ^ 2 – 46y + 65 = 0
230.1. x ^ 2 – x – 56 = 0
II. y ^ 2 – 20y + 91 = 0
Directions (31-35): In each of these questions, two equation (1) 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. 1. x ^ 2 + 3x – 154 = 0
II. y ^ 2 – 29y + 198 = 0
Q * 32.1 * 0.2x ^ 2 – 25x + 42 = 0
II 1.3y ^ 2 – 32y + 85 = 0
Q33 3.1 * 0.5x ^ 2 – 24x + 19 = 0
II. 4y ^ 2 – 19y + 21 = 0
Q34. I. x ^ 2 + 2x – 224 = 0
II. y ^ 2 + 34y + 288 = 0
Q35. I. x ^ 2 – 48 = 313
II. y ^ 3 = 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. x ^ 2 – 3x – 88 = 0
II. y ^ 2 + 8y – 48 = 0
Q37. 1. 2x ^ 2 + 21x + 10 = 0
II. 3y ^ 2 + 13y + 14 = 0
Q38. 1. x ^ 3 = 27
II. y ^ 2 + 3y – 18 = 0
239.1. x ^ 2 + 2x – 8 = 0
II. y ^ 2 + y – 12 = 0
240.1 * 0.2x ^ 2 – 7x + 6 = 0
II. y >= y + 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. 1. x ^ 2 + 3x – 40 = 0
II y ^ 2 – 11y + 30 = 0
42.1 * 0.2x ^ 2 + 7x – 15 = 0
II. 3y ^ 2 + 5y – 12 = 0
Q43. 1. 0.2x ^ 2 + 26x + 84 = 0
II. y ^ 2 + 15y + 56 = 0
Q44. I. x ^ 2 + 2x – 224 = 0
II. y ^ 2 + 34y + 288 = 0
Q45. 1. x ^ 2 – 4x = 221
II y ^ 3 = 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
(d) if y>x
(e) if y≥x
Q46. (i) x ^ 2 – 12x + 32 = 0
(ii) y ^ 2 – 20y + 96 = 0
Q47. (i) 2x ^ 2 – 3x – 20 = 0
(ii) 2y ^ 2 + 11y + 15 = 0
Q48. (i) x ^ 2 – x – 6 = 0
(ii) y ^ 2 – 6y + 8 = 0
Q49. (i x ^ 2 + 14x – 32 = 0
(ii) y ^ 2 – y – 12 = 0
Q50. (i) x ^ 2 – 9x + 20 = 0
(ii) 2y ^ 2 – 12y + 18 = 0
✅ Answer Table (01–50)
| Q. No | Ans | Q. No | Ans | Q. No | Ans | Q. No | Ans | Q. No | Ans |
|---|---|---|---|---|---|---|---|---|---|
| 01 | d | 02 | a | 03 | b | 04 | e | 05 | e |
| 06 | c | 07 | a | 08 | a | 09 | e | 10 | e |
| 11 | d | 12 | b | 13 | a | 14 | e | 15 | a |
| 16 | e | 17 | c | 18 | d | 19 | e | 20 | b |
| 21 | d | 22 | e | 23 | c | 24 | c | 25 | d |
| 26 | a | 27 | b | 28 | d | 29 | e | 30 | e |
| 31 | d | 32 | e | 33 | e | 34 | b | 35 | d |
| 36 | e | 37 | e | 38 | b | 39 | e | 40 | d |
| 41 | d | 42 | e | 43 | b | 44 | b | 45 | c |
| 46 | e | 47 | b | 48 | c | 49 | c | 50 | a |
Why Practice Quadratic Equations for IBPS Clerk Exam?
Quadratic equations are a crucial part of the Numerical Ability section in the IBPS Clerk 2025 exam. Practising them regularly helps candidates quickly determine whether a quadratic has equal roots, distinct roots, or no real solution. In the exam, these questions often appear in the form of comparing two variables (x and y) after solving separate quadratic equations.
✅ Benefits of practising quadratic equations for IBPS Clerk:
- Improves calculation speed – reduces time spent on solving equations.
- Boosts accuracy – ensures correct comparison of values (x > y, x < y, x = y, or no relation).
- Builds confidence – strengthens problem-solving skills for both Prelims and Mains.
Tips & Tricks to Solve Quadratic Equations in IBPS Clerk Exam
- Factorisation Method
- Most IBPS Clerk questions are designed for easy factorisation.
- Break the middle term and split into factors quickly.
- Discriminant (D = b² – 4ac) Method
- If D > 0 → Two distinct real roots.
- If D = 0 → Equal roots.
- If D < 0 → No real solution.
- Comparison of Roots (x vs y)
- Solve both quadratic equations.
- Compare roots step by step:
- If both values of x are greater than y → x > y.
- If both values of x are smaller than y → x < y.
- If values cross each other → Relationship cannot be determined (CND).
- Substitution Shortcuts
- For simple quadratics, plug in small values like x = 1, –1, 2 to check quickly.
- Useful for eliminating wrong options fast.
- Time-Saving Hack
- Don’t fully solve if not needed.
- Sometimes, just comparing coefficients (a, b, c) gives the answer.
⚡ With these tricks, aspirants can solve each quadratic equation question in under 30 seconds during the IBPS Clerk exam.
FAQs on Quadratic Equations for IBPS Clerk 2025
Q1. Are quadratic equations asked in IBPS Clerk Prelims or Mains?
Quadratic equation questions are mainly asked in the Prelims exam under the Numerical Ability section. However, practising them also helps in strengthening basics for the Mains exam.
Q2. How many quadratic equation questions can I expect in IBPS Clerk Prelims?
Generally, 5 questions on quadratic equations appear in the Prelims exam.
Q3. What is the best way to solve quadratic equations quickly?
The factorisation method is the fastest. For trickier cases, use the discriminant method or shortcut comparison techniques.
Q4. Do quadratic equation questions take a lot of time?
No. With practice, each question can be solved in 20–30 seconds, making it one of the most scoring topics.
Q5. Is practising quadratic equations enough to clear the Numerical Ability section?
Not alone. While quadratic equations are important, candidates should also practice Simplification, Number Series, Arithmetic Word Problems, and Data Interpretation to maximise their score.
Final Tips for IBPS Clerk 2025 Quadratic Equations
- Master the Basics: Ensure you clearly understand the standard form of a quadratic equation (ax2+bx+c=0)(ax^2 + bx + c = 0)(ax2+bx+c=0) and the relationship between roots and coefficients.
- Practice Regularly: Solve 50+ practice questions daily to improve speed and accuracy. Regular practice helps in recognising patterns and shortcuts.
- Use Shortcuts Wisely: Factorisation, discriminant method, and coefficient comparison save precious time during the exam.
- Skip Difficult Ones Initially: If a quadratic seems lengthy or tricky, move to the next question and return later. Time management is key in IBPS Clerk exams.
- Keep Notes: Maintain a small notebook of formulas, common tricks, and solved examples for last-minute revision.
- Simulate Exam Conditions: Practice questions with a timer to improve speed under exam pressure.
By following these tips and practising consistently, aspirants can maximize their score in the Numerical Ability section and gain confidence to tackle other challenging topics in the IBPS Clerk 2025 exam.
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