Quadratic Equation Questions for Bank Exams

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Author at PW

July 18, 2025

Quadratic Equation questions are very common in bank exams. You will often find them in the quantitative section of papers like IBPS PO, SBI Clerk, RRB Assistant, and others. You may find Quadratic equation questions a bit tough in the beginning, but once you know the method to solve them, they become quite easy and fast to solve. That’s why learning this topic well and solving practice questions can greatly help you score better.

In bank exams, speed and accuracy matter a lot. Solving Quadratic equation questions with answers regularly can help you solve them faster during the real exam. These questions test your understanding of numbers, your calculation skills, and how quickly you can think logically. With good practice, you can solve most Quadratic equation questions in just a few seconds and use the extra time for other difficult sections.

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What is a Quadratic Equation?

Before discussing Quadratic Equation questions, let us first understand what a quadratic equation is. A quadratic equation is a type of mathematical equation where the highest power of the variable (commonly written as x) is 2.

The general form is: ax² + bx + c = 0, where a, b, and c are numbers, and a should never be zero. For example, 2x² + 5x + 3 = 0 is a quadratic equation. Here, x² is the quadratic term, 5x is the linear term, and 3 is the constant. The solutions of a quadratic equation are called roots. These are the values of x that make the equation true.

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Quadratic Equation Questions For Bank Exams

To score better in the upcoming bank exams, practicing as many Quadratic Equation Questions as possible can be a real game changer. Because questions from this topic will be asked in the aptitude section to test your basic algebra skills. So, find some Quadratic Equation questions below and practice solving them on your own.

Ques. In the questions given below, two equations will be given. You have to solve the equations and find the appropriate relation between “x” and “y”, and choose the correct option.
(a) x ≥ y (b) x ≤ y
(c) x > y (d) x < y
(e) x = y, or the relation cannot be established.

I. x² – 20x + 96 = 0
II. y² + 32y + 231 = 0
I. x² – 19x + 84 = 0
II. y² – 12y + 35 = 0
I. x² – 2x – 15 = 0
II. y² – 9y + 14 = 0
I. x² + 54x + 693 = 0
II. y² – 46y + 520 = 0
I. x² + 6x – 91 = 0
II. y² + 30y + 221 = 0

I. x² – 225 = 0
II. y² – 31y + 240 = 0
I. x² – 25x + 126 = 0
II. y² – 52y + 651 = 0
I. x² – 39x + 374 = 0
II. y² – 47y + 522 = 0
I. x² – 36x + 299 = 0
II. y² – 20y + 91 = 0
I. x² – 18x – 63 = 0
II. y² – 8y – 48 = 0

Ques. In the question given below, two equations will be given. You have to solve the equations and find the appropriate relation between “x” and “y”, and choose the correct option.
I. x² + 4.1x + 1.8 = 0
II. y² + 5.3y + 2.4 = 0
(a) x ≥ y (b) x ≤ y
(c) x > y (d) x < y
(e) x = y, or the relation cannot be established.

Ques. In the question given below, two equations will be given. You have to solve the equations and find the appropriate relation between “x” and “y”, and choose the correct option.
I. x⁴ – 638 = 658
II. y² + 321 = 346
(a) x ≥ y (b) x ≤ y
(c) x > y (d) x < y
(e) x = y, or the relation cannot be established.

Ques. In the question given below, two equations will be given. You have to solve the equations and find the appropriate relation between “x” and “y”, and choose the correct option.
I. x² – 6x – 40 = 0
II. y³ = 1331
(a) x ≥ y (b) x ≤ y
(c) x > y (d) x < y
(e) x = y, or the relation cannot be established.

Ques. In the question given below, two equations will be given. You have to solve the equations and find the appropriate relation between “x” and “y”, and choose the correct option.
(a) x ≥ y (b) x ≤ y
(c) x > y (d) x < y
(e) x = y, or the relation cannot be established.

I. √49 + √x + 15 = √169
II. y² – 212 = 364
I. x² – 7√3x + 36 = 0
II. y² – 11√3y + 84 = 0
I. x² – 4√3x – 36 = 0
II. y² – 5√2y – 72 = 0
I. x² – 18√3x + 195 = 0
II. y² – 7√y – 84 = 0

I. 4x² – (8 + √10)x + 2√10 = 0
II. 2y² – (4 + 3√11)y + 6√11 = 0

Ques. Solve the following equations I and II based on the given information, and answer the questions based on it.
I. px² – x = 91
II. (p + 5)y² – 2py – 3 = 0
Some Information:
1. p is an even number.
2. Roots of equation I is 7 and –6.5.

If the roots of equation II are multiplied by 7 and added together, and the sum of the roots of equation I are added, then find the difference between the results.

(a) 6.75
(b) 5.5
(c) 8.75
(d) 3.5
(e) None of these

Ques. Solve the following equation and establish the relation between the quantity I and quantity II given.
I. 2x² – 11x + 15 = 0
II. 3y² – 243 = 0

Quantity I: What is the sum when half of the bigger root of equation I is added with 25% of itself.
Quantity II: Sum of the smaller positive root of equation I and the negative root of equation II when multiplied by 8.

Options:
(a) Quantity I > Quantity II
(b) Quantity I = Quantity II
(c) Quantity I < Quantity II
(d) Quantity I ≥ Quantity II
(e) Quantity I ≤ Quantity II

Ques. Solve the following equations and find which of the given statements are true.
I. 2x² – 21x – 11 = 0
II. y² – 26y = (–13)²

Statement I: The sum of the smaller roots of both the equations are equal to 12.
Statement II: The roots of equation II are equal to each other.

Options:
(a) Only I and II
(b) Only II
(c) Both I and II only
(d) Only I
(e) None of these

Ques. In the following question, two equations are given in the variables x and y. You have to solve these equations and determine the relation between x and y.

(Asked in RBI Assistant Prelims 2023)

1.
I. x² – 13x – 90 = 0
II. y² – 25y + 126 = 0
(a) x = y or relationship cannot be determined.
(b) x ≥ y
(c) x < y
(d) x > y
(e) x ≤ y

2.
I. x² – 35x – 74 = 0
II. y² + 15y + 26 = 0
(a) x > y
(b) x ≥ y
(c) x = y or relationship can’t be determined.
(d) x < y
(e) x ≤ y

3.
I. x² – 18x + 17 = 0
II. y² – 20y + 51 = 0
(a) x > y
(b) x ≥ y
(c) x = y or relationship can’t be determined.
(d) x < y
(e) x ≤ y

4.
I. 6x² – 18x + 12 = 0
II. 2y² – 10y + 12 = 0
(a) x > y
(b) x ≥ y
(c) x = y or relationship can’t be determined.
(d) x < y
(e) x ≤ y

Ques. In each question, two equations are given. You have to solve the equations, choose the appropriate relation between “x” and “y” from the options, and choose the correct option.

(Asked in SBI PO Prelims 2023)

(a) x < y (b) x > y (c) x ≥ y (d) x ≤ y (e) x = y or the relation can not be established

5.
I. x² – 24x + 95 = 0
II. y² – 31y + 84 = 0

6.
I. x² – 10x + 24 = 0
II. y² + 14y – 72 = 0

7.
I. x² + 4x – 96 = 0
II. y² – 19y + 90 = 0

8.
I. x² – 12x + 35 = 0
II. y² – 20y + 99 = 0

9.
I. x² – 10x – 39 = 0
II. y² – 18y + 65 = 0

For more important practice questions, check out the link below for the Quadratic equation question with answers PDF designed to help you prepare better for the upcoming bank exams.

Important Quadratic Equation Question with Answers

How to Solve Quadratic Equation Questions in Bank Exams?

Quadratic equation questions are commonly asked in bank exams. They can appear in different ways, sometimes as direct equations and sometimes hidden inside word problems. To solve them correctly, it is important to learn the right methods. Here are some tips to solve Quadratic Equation Questions easily during your bank exam preparation:

Know the Standard Form of a Quadratic Equation:

A quadratic equation always looks like this: ax² + bx + c = 0. Where a, b, and c are numbers (constants), and x is the unknown value you need to find.

Try Factorization First (Easiest and Fastest Method):

Factorization means breaking the middle term in such a way that the equation can be split into two brackets. This method works best when the equation has small or simple numbers.

Use the Quadratic Formula (When Factorization Doesn’t Work):

If the numbers in the equation are too big or don’t factor easily, use this formula: x = (-b ± √(b² – 4ac)) / 2a. Just put the values of a, b, and c into the formula and solve step by step. This method works for every quadratic equation, but it takes a little more time, so use it only when needed.

Understand Word Problems Carefully:

Sometimes the exam gives you word problems like:

A person’s age problem
Speed and time
Area of a garden
Work done by two people

In such cases:

First, read the question slowly.
Decide what the unknown value is (let it be x).
Write the given data in the form of a quadratic equation.
Then solve it using the method that fits best.

Practice Different Types of Questions:

Bank exams don’t always repeat the same pattern. So:

Practice solving both direct quadratic equations and word problems.
Try mock tests and previous year papers.
Improve your speed by practicing factorization first.

Avoid Common Mistakes:

Don’t forget to bring all terms to one side before solving.
Be careful with signs (+ or –).
Check your answers quickly before moving to the next question.

Practice Previous Year Questions (PYQs)

Solving Quadratic equation questions from past bank exams helps you understand the type and difficulty level. It also improves your speed and accuracy.

Books	Links
IBPS PO 25 Year-wise Prelims & Mains Previous Year Papers	Check Out
20 SBI PO Prelims & Mains Previous Year Papers	Check Out
SBI Clerk Prelims and Mains Previous Year Papers	Check Out

Quadratic Equation Questions FAQs

Q.1. Are Quadratic Equation questions important for all banking exams?

Ans. Yes, quadratic equation questions are very important. They are asked in almost every bank exam, like IBPS, SBI, and RBI.

Q.2. How many questions from the Quadratic Equation are asked in bank exams?

Ans. Generally, around 5 Quadratic Equation questions are asked in the quantitative aptitude section of the prelims exam. These questions often include comparing two equations to find the relation between x and y.

Q.3. What types of quadratic equation questions are asked in bank exams?

Ans. Aspirants can find direct questions where two equations are given or word problems where the equation is hidden in the story. They need to find the values of x and y and compare them.

Q.4. Where can I find a quadratic equation question with answers for practice?

Ans. Aspirants can find solved quadratic equation questions with answers in the PDF given above. It includes different practices as well as past years' quadratic equation questions with detailed solutions.

Q.5. What is a quadratic equation solver?

Ans. A quadratic equation solver is a tool that helps you solve quadratic equations step by step. It uses the quadratic formula to find the two values (called roots) of the variable in the equation like ax² + bx + c = 0. It’s useful for quick and accurate answers.

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