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How to Solve Algebra Questions for IPMAT Exam 2025

Author : Akash Kumar Singh

January 21, 2025

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Overview: Master Algebra Questions with Answers for IPMAT 2025 using our tips. Learn how to solve Algebra questions for IPMAT Exam 2025, apply key formulas, use shortcuts, manage time effectively, and practice previous year papers to boost your score and confidence.

Algebra is a fundamental part of the IPMAT exam's quantitative section. This article provides essential strategies to help you efficiently solve algebra questions in the IPMAT 2025 exam. Key points covered include:

  • Mastering basic concepts and important formulas
  • Practicing with previous year papers
  • Utilizing time management techniques and shortcuts

These tips will enhance your algebra skills and boost your overall exam performance. Dive in to learn more.

How to Solve Algebra Questions for IPMAT 2025

All the branches of mathematics, such as trigonometry, calculus, and coordinate geometry, involve algebra. Time management plays a vital role while solving questions that involve lengthy calculations.

Knowing time management allows you to crack the quantitative section in any competitive exam easily.

The following are some of the best tips to enhance your Math preparation for IPMAT.

Work on Basics 

Your basics should be clear to crack the quant section. You have to spend sufficient time on every topic of algebra and ensure that your basics are clear.

Also, you need to know your weaknesses and strengths. It will help you build solid areas and focus on the weaker areas to work hard.

Learn Important Formulas

  • Just learning the formulas is not enough to solve the questions quickly.
  • Instead, it would help if you understood better where the particular formula could be applied while solving the questions on different topics. This way, you can build up your confidence and perform well in the exam.

Focus on Time Management

The difficulty level of each question will vary in the quantitative section. Hence, you may require more time for tough questions.

  • It would help if you worked on improving your time management skills and speed in the final exam.
  • Most of you may end up wasting time on a single question which will affect other sections too.
  • If you are unsure about the answer, move to the next question immediately. Later, you can come back and solve the left-out question.

Practice Previous Year Papers

Practice is the key to scoring good marks in the mathematics section. Make sure to solve as many questions as possible from the previous year's papers.

This will not only help improve your time management skills and speed but also helps in getting a fair idea about the difficulty level and the type of questions asked in the exam.

Since algebra involves more calculations, it is essential to solve more and more previous year's question papers for IPMAT.

Understand the Question

Before answering the question, read the question twice and understand which formula you can apply to that question.

Understanding the given question will help save your time in the exam and solve the questions within 2-3 minutes.

Important Algebra Formulas for IPMAT 2025

As said above, learning the formula and understanding how to apply the formula plays a vital role while solving a question.

The following are some of the important algebra formulas for IPMAT.

  1. (a+b)⋅(a−b)=a2−b2(a + b) \cdot (a - b) = a^2 - b^2(a+b)⋅(a−b)=a2−b2
  2. (a+b)2=a2+b2+2ab(a + b)^2 = a^2 + b^2 + 2ab(a+b)2=a2+b2+2ab
  3. (a−b)2=a2+b2−2ab(a - b)^2 = a^2 + b^2 - 2ab(a−b)2=a2+b2−2ab
  4. (a+b+c)2=a2+b2+c2+2(ab+bc+ca)(a + b + c)^2 = a^2 + b^2 + c^2 + 2(ab + bc + ca)(a+b+c)2=a2+b2+c2+2(ab+bc+ca)
  5. a3+b3=(a+b)⋅(a2−ab+b2)a^3 + b^3 = (a + b) \cdot (a^2 - ab + b^2)a3+b3=(a+b)⋅(a2−ab+b2)
  6. a3−b3=(a−b)⋅(a2+ab+b2)a^3 - b^3 = (a - b) \cdot (a^2 + ab + b^2)a3−b3=(a−b)⋅(a2+ab+b2)
  7. a3+b3+c3−3abc=(a+b+c)⋅(a2+b2+c2−ab−bc−ac)a^3 + b^3 + c^3 - 3abc = (a + b + c) \cdot (a^2 + b^2 + c^2 - ab - bc - ac)a3+b3+c3−3abc=(a+b+c)⋅(a2+b2+c2−ab−bc−ac)

CheckIPMAT Maths Important Formulas

ipmat results

ipmat results

Important Algebra Questions with Answers for IPMAT 2025

To help you get an idea about the type of questions asked in the exam, we have provided a few important algebra questions with answers for IPMAT that are curated from the previous year's papers.

The following are some of the Algebra questions for your practice and understanding of the tricks and unique methods to solve the Algebra question quickly.

Question 1: 

Square root of (500 x 501 x 502 x 503 + 1) =?

  • (a) 250001
  • (b) 250151
  • (c) 250101
  • (d) 251501

Answer: A

Question 2:

N² = 1 + 2014 x 2015 x 2016 x 2017

What is the value of N?

  • (a) 4026639
  • (b) 4062239
  • (c) 40262639
  • (d) 40662639

Answer: B

Question 3: 

x² - 15/x = 4and x ≠ 3 find x (x + 1) (x +2) (x + 3)?

  • (a) 12
  • (b) 15
  • (c) 21
  • (d) 27

Answer: B

Question 4: 

x³ + 4x – 8 = 0, then x⁷ + 64x² =?

  • (a) 96
  • (b) 128
  • (c) 216
  • (d) 108

Answer: B

Question 5: 

If x⁴ + x- ⁴ = 194, (x > 0), then the value of (2x – 4) ² is:

  • (a) 15
  • (b) 20
  • (c) 12
  • (d) 16

Answer: A

Question 6: 

If x⁴ + x- ⁴ = 2207, (x > 0), then the value of (x – 2) (x – 3) (x – 4) (x – 5) is:

  • (a) 77
  • (b) 99
  • (c) 89
  • (d) 11

Answer: B

Question 7: 

If root x + 1/root x = 4, x > 0 then x³ (x – 14) (x² - 194)

  • (a) 0
  • (b) 1
  • (c) 1
  • (d) 2

Answer: A

Question 8: 

If x⁴ + x- ⁴ = 1154, (x > 0), then the value of 2 (x – 3) ² is:

  • (a) 16
  • (b) 12
  • (c) 20
  • (d) 15

Answer: C

Question 9: 

If x⁴ + 1/x ⁴ = 527, (x > 0), then the value of (x – 1) (x – 2) (x – 3) (x – 4) is:

  • (a) 12
  • (b) 15
  • (c) 18
  • (d) 20

Answer: B

By following these IPMAT preparation strategies, you can enhance your algebra skills and perform better in the IPMAT 2025 exam. Focus on understanding the basics, practicing regularly, managing your time effectively, and applying shortcuts where applicable. Learn how to solve algebra questions for IPMAT with consistent effort and practice, and you can excel in the algebra section and boost your overall IPMAT score.

Key Takeaways:

  • Master Basic Concepts: Understand the foundational principles of algebra to tackle Algebra Questions with Answers for IPMAT effectively.
  • Learn and Apply Formulas: Memorize important algebraic formulas and practice applying them to different types of problems to enhance problem-solving speed and accuracy.
  • Effective Time Management: Develop strategies to manage your time efficiently during the exam, ensuring you can attempt all questions without getting stuck on any single problem.
  • Practice Previous Year Papers: Regularly solving past year papers helps familiarize you with the exam pattern and the types of Algebra Questions with Answers for IPMAT, improving your speed and accuracy.
  • Use Shortcuts and Tricks: Learn and practice various shortcuts and tricks to solve algebraic equations quickly, saving valuable time during the exam.

Prepare with: IPMAT Mock Test Series 2025

Frequently Asked Questions

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