Quadratic Equation Questions for SBI Clerk are an important part of the Quantitative Aptitude section. These questions can often be solved quickly with the right approach. The most common format gives two equations, one for x and one for y, and asks you to compare their roots. Regular practice can help you improve calculation speed, accuracy, and question selection. In this blog, you will find 50+ practice questions, answers, explanations, shortcuts, preparation tips, and a free PDF to help you prepare for the SBI Clerk 2026 exam.
SBI Clerk Quantitative Aptitude: Exam Pattern and Importance
The Numerical Ability section in SBI Clerk Prelims contains 35 questions for 35 marks with 20 minutes to solve the section. Quadratic equations are included in the Numerical Ability syllabus.
As per exam-analysis data, Quadratic Equation Questions for SBI Clerk have appeared regularly in SBI Clerk Prelims, with 4–6 questions reported in several previous years. However, the number can vary from shift to shift, so candidates should treat weightage figures as a guide rather than a fixed rule.
| Particular | Details |
| Section | Numerical Ability |
| Stage | SBI Clerk Prelims |
| Question Type | Objective |
| Common Format | Two equations with x and y |
| Main Skill Tested | Root solving and comparison |
| Difficulty | Easy to Moderate |
| Best Approach | Factorisation + quick comparison |
Quadratic Equation Questions for SBI Clerk Practice Set
Here are some Quadratic Equation Questions for SBI Clerk based on the common comparison pattern. Try solving them yourself before checking the answers.
Q1. I. x² − 7x + 12 = 0 II. y² − 9y + 20 = 0
Explanation: Equation I gives x = 3 or 4. Equation II gives y = 4 or 5. Every possible x value is less than or equal to every possible y value. Equality occurs when x=4 and y=4. Therefore x ≤ y.
Q2. I. x² − 11x + 30 = 0 II. y² − 13y + 42 = 0
Explanation: x = 5 or 6 and y = 6 or 7. In every pairing, x ≤ y, with equality possible at 6. Therefore x ≤ y.
Q3. I. x² + 9x + 20 = 0 II. y² + 11y + 30 = 0
Explanation: x = −4 or −5 and y = −5 or −6. Every possible x value is greater than or equal to every possible y value. Equality is possible at −5. Therefore x ≥ y.
Q4. I. x² − 15x + 56 = 0 II. y² − 17y + 72 = 0
Explanation: x = 7 or 8 and y = 8 or 9. Therefore every x value is less than or equal to every y value, so x ≤ y.
Q5. I. x² − 10x + 21 = 0 II. y² − 12y + 32 = 0
Explanation: x = 3 or 7 and y = 4 or 8. For x=3,y=4, x<y; but for x=7,y=4, x>y. Hence no single relationship holds for all combinations, so the relationship cannot be established.
Q6. I. 2x² − 14x + 24 = 0 II. y² − 9y + 20 = 0
Explanation: Dividing Equation I by 2 gives x²−7x+12=0, so x=3 or 4. Equation II gives y=4 or 5. Thus x ≤ y in every possible pairing.
Q7. I. x² + 5x + 6 = 0 II. y² + 7y + 12 = 0
Explanation: x = −2 or −3 and y = −3 or −4. Every x value is greater than or equal to every y value, with equality possible at −3. Therefore x ≥ y.
Q8. I. x² − 6x + 8 = 0 II. y² − 8y + 15 = 0
Explanation: x = 2 or 4 and y = 3 or 5. x can be less than y, for example 2<3, but it can also be greater than y, for example 4>3. Therefore the relationship cannot be established.
Q9. I. x² − 13x + 42 = 0 II. y² − 15y + 56 = 0
Explanation: x = 6 or 7 and y = 7 or 8. Every x value is less than or equal to every y value, with equality possible at 7. Therefore x ≤ y.
Q10. I. x² + 8x + 15 = 0 II. y² + 10y + 21 = 0
Explanation: x = −3 or −5 and y = −3 or −7. For x=−5,y=−3, x<y; but for x=−3,y=−7, x>y. Hence the relationship cannot be established.
Quiz Summary
Download Free PDF of Quadratic Equation Questions for SBI Clerk
Candidates looking for quadratic equation questions SBI Clerk 2026 practice sets can use a free PDF containing 50+ questions with different levels of difficulty. These questions are based on the latest exam pattern to help you improve speed and accuracy. It helps make your preparation more productive for scoring well in the English section.
Common Types of SBI Clerk Quadratic Equation Questions
The format is usually simple, but the numbers can be changed to test your speed. Quadratic Equation Questions for SBI Clerk mainly include the following types:
1. Factor-Based Questions
These are the easiest type. You can split the middle term and find the roots quickly.
2. Comparison of Two Equations
You solve Equation I and Equation II and then compare their roots. This is one of the most common formats for banking exams.
3. Equations With Different Coefficients
Sometimes the equations contain coefficients before x², x, or the constant term. In these questions, first bring the equation into the standard form: ax² + bx + c = 0. Then solve or factorise it.
4. Same or Overlapping Roots
Both equations may have one common root. In such cases, read the options carefully before marking x = y.
5. No Real Root Case
Some equations may not have real roots. If the question gives such an equation, you cannot compare x and y in the normal way. This is why checking the discriminant can sometimes be useful.
How to Solve SBI Clerk Quadratic Equation Questions Quickly?
The easiest way to solve most questions is factorisation. This method is much faster than using the quadratic formula when the numbers are easy to factor. For Quadratic Equation Questions for SBI Clerk, mastering factorisation can help you save valuable time and improve accuracy.
Suppose: x² – 9x + 20 = 0
Find two numbers whose:
- Product = 20
- Sum = -9
The numbers are -4 and -5.
Therefore: (x – 4)(x – 5) = 0
So: x = 4 or 5.
Quadratic Equation Shortcuts for SBI Clerk
Using quick shortcuts can help you solve questions faster and avoid calculation errors. These techniques are especially useful when attempting Quadratic Equation Questions for SBI Clerk under the exam’s time pressure.
1. Factorisation Shortcut
For: x² + bx + c = 0
look for two numbers whose:
Sum = b
Product = c
Then write the two factors.
2. Use the Discriminant When Needed
This can help when factorisation is difficult. For: ax² + bx + c = 0
the discriminant is: D = b² – 4ac
If:
- D > 0 → Two real roots
- D = 0 → One repeated real root
- D < 0 → No real roots
3. Remember Root Relationships
These relationships can sometimes help you compare values without fully solving the equation. For: ax² + bx + c = 0
Sum of roots: -b/a
Product of roots: c/a
Benefits of Solving SBI Clerk Quadratic Equation Questions
Regular practice helps improve calculation speed, accuracy, and confidence in the Numerical Ability section. Solving Quadratic Equation Questions for SBI Clerk also helps you identify common patterns quickly and manage your exam time more effectively.
1. Improves Calculation Speed
Quadratic equations can be solved quickly when you become familiar with common factor pairs. Regular practice helps you recognise these patterns faster.
2. Builds Accuracy
Repeated practice helps reduce mistakes in signs, factorisation, and root comparison.
3. Helps With Question Selection
When you see a familiar quadratic equation in the exam, you can quickly decide whether to attempt it or move to another question.
4. Makes You Comfortable With Dual Equations
Many questions give one equation for x and another for y. Practising this format helps you compare roots without confusion.
5. Builds Confidence
Solving a large number of questions helps you understand which types are easy and which ones need more practice.
7-Day SBI Clerk Quadratic Equation Practice Plan
Follow a focused 7-day schedule to build speed, accuracy, and confidence in solving Quadratic Equation Questions for SBI Clerk. Dedicate a short practice session each day and gradually increase the difficulty.
| Day | What to Practise |
| Day 1 | Basic algebra and factorisation |
| Day 2 | Simple quadratic equations |
| Day 3 | x-y comparison questions |
| Day 4 | Mixed-level questions |
| Day 5 | Timed practice set |
| Day 6 | Previous-year questions + error analysis |
| Day 7 | Full revision + mock test |
Final Thoughts
Quadratic Equation Questions for SBI Clerk can become a quick-scoring area when you practise the right question format regularly. Focus first on factorisation, then move to x-y comparison questions and timed mixed sets. Do not spend too much time on one difficult equation. Learn the basic method, practise daily, check your mistakes, and improve your speed step by step. A good target is to solve a small set every day and gradually reduce the time taken for each question.
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FAQs
1. What are Quadratic Equation Questions for SBI Clerk?
These are Quantitative Aptitude questions where candidates solve quadratic equations and usually compare the roots of two equations involving x and y.
2. Are quadratic equations easy in SBI Clerk?
They can be relatively quick to solve when the equation can be factorised easily. Speed improves with regular practice.
3. What is the best way to prepare quadratic equation questions for SBI Clerk?
Start with factorisation, practise basic equations, then solve x-y comparison questions with a timer. Analyse mistakes after every practice set.
4. How many questions should I solve daily?
Start with around 10–15 questions daily. Once you become comfortable, increase the number or add timed mixed sets.
5. Are quadratic equations included in the SBI Clerk 2026 syllabus?
Yes. Quadratic Equation is listed under the Quantitative Aptitude/Numerical Ability syllabus for SBI Clerk 2026.
6. Is factorisation enough to solve these questions?
Factorisation is the fastest method for many questions, but candidates should also understand the quadratic formula, discriminant, and root relationships for questions where factorisation is difficult.
7. Can I download 50+ quadratic equation questions for free?
Yes. Practice sets can be provided as a free PDF so that candidates can practise additional questions offline.
8. Should I practise quadratic equations for Mains too?
Yes. Quadratic Equation is also included in the SBI Clerk Mains Quantitative Aptitude syllabus, so continuing practice after Prelims preparation is useful.)
9. How can I improve my speed in quadratic equations?
Learn common factor pairs, practise root comparison, avoid unnecessary calculations, and solve timed sets regularly.
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