Quadratic Equation Questions for RRB PO Mains 2025, Download Free PDF

Quadratic Equations are one of the essential and scoring topics of the Quantitative Aptitude section in the IBPS RRB PO 2025 Exam.  If your concepts are clear and if you practice repeatedly, you can solve these questions in under a minute.  In this article, we are covering all the details regarding quadratic equations in RRB PO, question types, shortcut methods, and providing a free PDF with exam-level practice sets.

Download Quadratic Equation Questions for RRB PO Exam 2025

In this section, we are providing Quadratic Equation Questions for RRB PO Exam 2025 questions for the RRB PO Exam 2025. Our experts curate these after analysing previous years’ patterns. Download Now and practice as many questions as you can.

Trend of Quadratic Questions in RRB PO Exam

In this section, we are covering the trends of the quadratic equation in RRB PO Exam.

Year	Exam Stage	No. of Questions
2022	Prelims	5
2023	Prelims	5
2024	Prelims	5

Core Concepts of Quadratic Equations

A Quadratic Equation is any equation of the form:
ax² + bx + c = 0
 

Where:

• a, b, and c are constants, and
  
• x represents the variable.
  

The roots of the equation are the values of x that satisfy it.

Formula to find the roots:

Here, the discriminant (D) = ( b² – 4ac ) helps determine the nature of roots:

• If D > 0 → Roots are real and unequal
  
• If D = 0 → Roots are real and equal
  
• If D < 0 → Roots are imaginary
  

Types of Quadratic Equation Questions

1. Variable Comparison Type:
   You are given two equations, one in x and another in y. You must compare their roots and select the correct relationship:
   • x > y
   • x < y
   • x ≥ y
   • x ≤ y
   • x = y or no relation
2. Simple Root Finding:
   Some sets directly ask for the roots of a quadratic equation. These are usually easier and can be solved through factorisation or the formula method.
3. Mixed Arithmetic Quadratic Problems:
   In RRB PO Mains, quadratic equations can appear in caselets or arithmetic-based data interpretation sets, often combined with ratio, average, or percentage concepts.

Important Formulas and Tips

• Standard Form: ax² + bx + c = 0
• Discriminant: D = b² – 4ac
  • If D > 0 → Two distinct real roots
  • If D = 0 → Equal real roots
  • If D < 0 → Imaginary roots
• Sum of Roots (α + β): = –b/a
• Product of Roots (αβ): = c/a

Example Questions

Q1. x² – 9x + 20 = 0 and y² – 7y + 10 = 0
Find the relation between x and y.

Solution:
x² – 9x + 20 = 0 → (x – 5)(x – 4) = 0 → x = 5 or 4
y² – 7y + 10 = 0 → (y – 5)(y – 2) = 0 → y = 5 or 2

Comparing possible values, the relation cannot be determined.
Answer: x = y or No relation

Q2. x² – 8x + 15 = 0 and y² – 10y + 21 = 0
x = 3, 5 and y = 3, 7
Hence, x ≤ y.

Common Mistakes to Avoid While Solving the Questions

• Misreading Signs: Always double-check coefficients of x², x, and constants. A sign mistake changes the entire result.
• Forgetting Multiple Roots: Compare all possible pairs of x and y values before concluding the relationship.
• Overusing Formula: Don’t always jump to the quadratic formula; factorisation saves time in most exam-level questions.
• Skipping Verification: Always verify the final relation using all combinations, especially when the numbers are close.

Strategy to Solve Quadratic Equations Quickly

1. Identify the Pattern: Recognise whether the given equation is easily factorable or needs the formula.
2. Factorise First: For exam-level questions, numbers are usually designed for quick splitting.
3. Find Roots: Calculate both x and y roots within seconds.
4. Compare Efficiently: Don’t calculate exact differences, just observe the greater or smaller value.
5. Mark the Relation: Choose from the five standard options quickly and move ahead.

Conclusion

In this article, we have explained the type of questions asked from the quadratic equation in RRB PO exam, along with a PDF to practice such questions. To solve questions from more such topics, you can buy our test series, where you can reattempt the full-length mock tests and get a Detailed Comparison with the Topper, compare your Time, Score, Accuracy, Correct/Wrong Answers, and even the Average Performance side-by-side. 

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