100+ Quadratic Equation Questions for RRB PO 2025, Download Free PDF

Quadratic Equations form an important part of the Quantitative Aptitude section in various banking exams like RRB PO 2025. Over the years, it has become one of the most scoring topics if approached strategically. In this article, we provide a comprehensive guide to quadratic equations, including their importance, solving methods, and preparation strategies, along with over 100 important questions and detailed solutions.

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What is a Quadratic Equation

A Quadratic Equation is a polynomial equation of the form:

ax² + bx + c = 0

Here, a, b, and c are constants, x is the variable, and a ≠ 0. The solutions, or roots, of the equation represent the values of x that satisfy it. In the RRB PO exam, quadratic equation questions often involve comparing the roots of two equations (involving variables x and y) to determine their relationship, such as:

• x > y
• x < y
• x = y
• x ≥ y
• x ≤ y

A relationship cannot be established

Weightage of Quadratic Equations in RRB PO Exam

Exam Stage	Number of Questions	Difficulty Level
RRB PO Prelims	5-6 Questions	Easy to Moderate
RRB PO Mains	0-5 Questions (occasionally)	Moderate

Why Focus on Quadratic Equations for RRB PO 2025?

In recent years, the IBPS RRB PO Prelims exam pattern shows that 5 questions are from the Quadratic Equation. Here’s why focusing on this topic makes sense:

Reason	Benefit
High Frequency	Asked almost every year in Prelims
Easy to Solve	Takes less than a minute per question
Predictable Patterns	Similar types are repeated each year

100+ Practice Questions on Quadratic Equations

We’ve compiled questions into three levels: Easy, Moderate, and Difficult. Here’s a preview of the types of questions included in the full PDF:

Question 1: In the question, two equations I and II are given. You have to solve both equations to establish the correct relation between x and y and choose the correct option.

I. 3x² – 24x + 36 = 0

II. 4y² = y + 5

A) x > y

B) x < y

C) x = y or the relationship cannot be established

D) x ≥ y

E) x ≤ y

Question 2: In the question, two equations I and II are given. You have to solve both equations to establish the correct relation between x and y and choose the correct option.

I. x² – 2x – 63 = 0

II. y² + 14y + 48 = 0

A) x > y

B) x < y

C) x = y or the relationship cannot be established

D) x ≥ y

E) x ≤ y

Question 3: In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y and choose the correct option.

I. x² + 15x + 54 = 0

II. y² + 20y + 99 = 0

A) x > y

B) x < y

C) x = y or the relationship cannot be established

D) x ≥ y

E) x ≤ y

Question 4: In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y and choose the correct option.

I. 3x + 7y = 53

II. 7x – 5y = 17

A) x > y

B) x < y

C) x = y or the relationship cannot be established

D) x ≥ y

E) x ≤ y

Question 5: In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y and choose the correct option.

I. x² – 27x + 180 = 0

II. y² – 24y + 140 = 0

A) x > y

B) x < y

C) x = y or the relationship cannot be established

D) x ≥ y

E) x ≤ y

Question 6: In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y and choose the correct option.

I. x² – 11x + 30 = 0

II. y² – 11y + 18 = 0

A) x > y

B) x < y

C) x = y or the relationship cannot be established

D) x ≥ y

E) x ≤ y

Question 7: In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y and choose the correct option.

I. x² + 3x – 10 = 0

II. y² – 5y + 6 = 0

A) x > y

B) x < y

C) x = y or the relationship cannot be established

D) x ≥ y

E) x ≤ y

Question 8: In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y and choose the correct option.

I. x² – 5x + 4 = 0

II. y² + 2y – 3 = 0

A) x > y

B) x < y

C) x = y or the relationship cannot be established

D) x ≥ y

E) x ≤ y

Question 9: In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y and choose the correct option.

I. 3x + 5y = 21

II. 9x – 2y = 12

A) x > y

B) x < y

C) x = y or the relationship cannot be established

D) x ≥ y

E) x ≤ y

Question 10: In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y and choose the correct option.

I. 4x² + 16x – 20 = 0

II. 2y² + 11y – 6 = 0

A) x > y

B) x < y

C) x = y or the relationship cannot be established

D) x ≥ y

E) x ≤ y

100 Questions on Quadratic Equations with Solutions

Get 100 Questions on quadratic equations with solutions PDF, by clicking on the link below:

Disclaimer: The 100 Quadratic Equation Questions for RRB PO provided on PracticeMock’s blog are intended solely for educational and exam-preparation purposes. While efforts have been made to ensure accuracy and relevance, PracticeMock does not guarantee that the questions, formats, or difficulty levels will exactly match those in the actual examination. Readers are strongly advised to consult RRB’s official website and notifications for authoritative information. PracticeMock and its contributors disclaim responsibility for any errors, omissions, or outcomes resulting from reliance on this material.

How to Solve Quadratic Equations Easily

To master quadratic equations and solve them efficiently, follow these strategies:

1. How to Solve Quadratic Equations by Factoring (Master Factorisation)

Factorisation is often the fastest method for solving quadratic equations in exams. Practice splitting the middle term to factorise equations quickly. For example:

x² – 5x + 6 = 0

Find two numbers whose product is 6 and sum is -5. These are -2 and -3, so:

x² – 2x – 3x + 6 = 0
(x – 2)(x – 3) = 0
Roots: x = 2, 3

Tip: Memorise common factor pairs for numbers up to 100 to speed up this process.

2. Use the Quadratic Formula Wisely

For equations that don’t factorise easily, use the quadratic formula:

x = [-b ± √(b² – 4ac)] / (2a)

Ensure you calculate the discriminant (b² – 4ac) accurately to determine the nature of the roots (real, equal, or complex). Practice mental math to compute square roots of common numbers (e.g., √144 = 12, √169 = 13).

3. Apply the Table Method for Comparison

When comparing roots of two equations, use a sign-based table to streamline the process. For example:

For 40x² – 47x + 12 = 0:

• Sum = -47, Product = 480
• Split the middle term: -32 and -15 (since -32 + -15 = -47 and -32 × -15 = 480)
• Change signs: +32, +15
• Divide by the coefficient of x² (40): x = 32/40 = 4/5, 15/40 = 3/8

Repeat for the second equation and compare the roots systematically.

4. Practice with Previous Year Papers

Candidates analyse the past five years’ RRB PO question papers to identify the question pattern. Most quadratic equations follow a similar structure, with variations in coefficients. Solving these papers helps you know the question types and difficulty levels.

5. Take Our Topic Tests

Daily practice with topic-specific mock tests can improve your question-solving speed and accuracy. Aim to solve 20-30 quadratic equation questions daily, starting with easy ones and progressing to moderate and high-difficulty levels.

6. Take Our Mini Mock Tests & Sectional Mock Tests

If you are a week in the quant section, then do a mini mock test and section, so that you can bring a lot of improvement in the week section.

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