Physics Wallah

Quadratic Equation Questions for IPMAT 2025

Quadratic Equation questions for IPMAT 2025 aim to improve candidates’ exam preparation. Check quadratic equation questions for IPMAT 2025 and approaches to solve them.
authorImageAnil Solonki26 Dec, 2024
Share

Share

Quadratic Equation Questions

Quadratic Equation Questions for IPMAT 2025: Quadratic equations is a key topic covered in the Algebra section. Candidates preparing for the IPMAT 2025 exam must strengthen their quadratic equation to enhance their QA score. Understanding the quadratic equation and the approaches to solve them is crucial to enhance accuracy rate. Additionally, candidates should regularly solve various types of questions from quadratic equations to improve problem-solving skills.

To improve IPMAT preparation, it is recommended to practice with sectionals and full-length IPMAT mock tests. PW IPMAT Online Coaching offers multiple full-length mock tests that familiarise candidates with the exam pattern. Moreover, candidates enrolled in the PW IPMAT Coaching Class are able to access updated DPPs and sample papers that include various quadratic equation questions.

What are Quadratic Equations?

Quadratic equations are the types of equations in the algebra topic that are presented as ax² + bx + c = 0 . Here,
  • x is the variable, meaning its value is unknown.
  • a , b , and c are constants with fixed values.
To be a quadratic equation, the coefficient a must not be zero (a ≠ 0), as the absence of the ax2 will transform the equation into a linear equation. Here are some examples of quadratic equations in their standard form:
  • 6x² + 11x - 35 = 0
  • 2x² - x - 3 = 0
  • 4x² - 8x - 2 = 0
  • 10x² - 4x - 18 = 0
  • 4x² - 3x - 2= 0

How to Solve IPMAT Quadratic Equation Problems?

To solve quadratic equation problems in IPMAT, candidates can either use logical methods (factoring and completing the square) or the formula approach (using the quadratic formula). Both these approaches are effective. However, factorisation is the most commonly used technique to solve questions on quadratic equations. Candidates need to take the following steps to solve quadratic equations using the factorisation approach:
  • Rearrange the Equation : Move all variables and constants to one side of the equation so that one side equals zero.
  • Factorise the Expression : Break down the quadratic equation into its linear factors.
  • Set Factors to Zero : Equate each factor to zero to create simpler equations.
  • Find the Roots : Solve these equations to determine the values of the variable.
  • Verify the Answers : Substitute the obtained value of the variables into the original equation to confirm their accuracy.

Quadratic Equation Questions for IPMAT 2025

Here are some questions on the quadratic equation for IPMAT 2025 preparation: Q1. Divide 19 into two sections in such a way that the sum of their squares is 193. Q2. The sum of the ages of a father and his daughter is 35 years. Additionally, the product of their ages is 150. Find their present ages. Q3. The age of a mother is equal to the square of the age of his son. The sum of the age of the mother and five times the age of her son is 66 years. Find the current age of the mother and son. Q4. The denominator of a fraction exceeds its numerator by 3. If one is added to both the denominator and the numerator then the difference between the new and the original fraction is 1/24. Find the original fraction. [Both numerator and denominator are positive integers]. To access more practice questions with solutions, candidates should consider joining the PW IPMAT 2025 Coaching Batch .

Quadratic Equation Questions for IPMAT FAQs

Is quadratic equation important for the IPMAT 2025 exam?

Yes, a quadratic equation is a crucial topic for the IPMAT exam.

How to tell the difference between quadratic and linear word problems?

The main difference between quadratic and linear equations is that quadratic equations have variables presented as x2.

Is quadratic equation an easy chapter?

Quadratic equation is not a highly challenging chapter. However, candidates need thorough practice to strengthen their problem solving ability and accurately understand word problems.
Join 15 Million students on the app today!
Point IconLive & recorded classes available at ease
Point IconDashboard for progress tracking
Point IconMillions of practice questions at your fingertips
Download ButtonDownload Button
Banner Image
Banner Image
Free Learning Resources
Know about Physics Wallah
Physics Wallah is an Indian edtech platform that provides accessible & comprehensive learning experiences to students from Class 6th to postgraduate level. We also provide extensive NCERT solutions, sample paper, NEET, JEE Mains, BITSAT previous year papers & more such resources to students. Physics Wallah also caters to over 3.5 million registered students and over 78 lakh+ Youtube subscribers with 4.8 rating on its app.
We Stand Out because
We provide students with intensive courses with India’s qualified & experienced faculties & mentors. PW strives to make the learning experience comprehensive and accessible for students of all sections of society. We believe in empowering every single student who couldn't dream of a good career in engineering and medical field earlier.
Our Key Focus Areas
Physics Wallah's main focus is to make the learning experience as economical as possible for all students. With our affordable courses like Lakshya, Udaan and Arjuna and many others, we have been able to provide a platform for lakhs of aspirants. From providing Chemistry, Maths, Physics formula to giving e-books of eminent authors like RD Sharma, RS Aggarwal and Lakhmir Singh, PW focuses on every single student's need for preparation.
What Makes Us Different
Physics Wallah strives to develop a comprehensive pedagogical structure for students, where they get a state-of-the-art learning experience with study material and resources. Apart from catering students preparing for JEE Mains and NEET, PW also provides study material for each state board like Uttar Pradesh, Bihar, and others

Copyright © 2025 Physicswallah Limited All rights reserved.