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CAT Quantitative Aptitude Questions with Solutions

Prepare for the CAT exam with important CAT Quantitative Aptitude questions and solutions. Learn key topics like arithmetic, algebra, and geometry, along with tips to solve problems quickly and accurately.
authorImageAnil Solonki7 Aug, 2025
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CAT Quantitative Aptitude Questions with Solutions

CAT Quantitative Aptitude: Common Admission Test is a tough exam for students who want to get into MBA programs in India. One important part of the exam is the Quantitative Aptitude (QA) section, which has around 22 questions. These questions test a student's math skills and ability to solve problems. The topics include arithmetic, algebra, geometry, and modern math.

The QA section is not just about knowing the math; it also tests how well students can think quickly and manage their time during the exam. To prepare for CAT Exam, it's important to practice many different types of math problems. Some questions are simple, while others are more complex. Learning shortcuts and formulas can help improve your speed and accuracy during the exam.

Introduction to CAT Quantitative Aptitude

The Common Admission Test (CAT) is an important examination for MBA aspirants in India, assessing candidates across various sections, including Quantitative Aptitude (QA). Mastery of QA is crucial as it not only tests mathematical skills but also logical reasoning and problem-solving abilities.CAT Quantitative Aptitude questions, provide a comprehensive overview of practice questions, solutions, and resources for effective preparation.

Importance of Quantitative Aptitude in CAT

Quantitative Aptitude forms a significant part of the CAT exam, usually comprising 34 CAT Quant Questions out of a total of 66. The CAT Quantitative Aptitude Questions evaluates:
  • Mathematical Skills : Basic arithmetic, algebra, geometry, and data interpretation.
  • Analytical Ability : Ability to interpret data and solve complex problems.
  • Time Management : Completing questions within the allotted time frame.

Key Topics in CAT Quantitative Aptitude

  1. Number Systems
  2. Algebra
  3. Geometry
  4. Arithmetic
  5. Probability and Statistics
  6. Time and Work
  7. Speed, Distance, and Time
Understanding these topics is essential for tackling CAT Quant Questions with solutions effectively.

CAT Quantitative Aptitude Questions with Solutions PDF

To facilitate preparation, numerous resources provide PDFs containing CAT quantitative aptitude questions along with detailed solutions. These documents are invaluable for:
  • Self-Assessment : Understanding your strengths and weaknesses in different topics.
  • Practice : Regular practice helps in familiarizing oneself with the exam format and question types.

Sample Questions from Previous Years

Here are some illustrative examples of quantitative aptitude questions that have appeared in past CAT exams:
  1. Algebra :
    • If x2−5x+6=0 , find the values of x .
      • Solution : Factoring gives (x−2)(x−3)=0 , so x=2 or x=3 .
  2. Geometry :
    • Calculate the area of a triangle with base 10 cm and height 5 cm.
      • Solution : Area = 12×base×height=12×10×5=25 cm2 .
  3. Arithmetic :
    • A train travels at a speed of 60 km/h. How far will it travel in 2 hours?
      • Solution : Distance = Speed × Time = 60×2=120 km .
These examples illustrate the types of problems candidates can expect on the exam.

Resources for Practice Questions

Physics Wallah (PW) offers complete resources for MBA entrance exam prep, especially for the CAT exam. They provide a variety of practice materials and mock tests to help students improve.

  • Mock Tests : PW gives more than 10 free full-length CAT mock tests. These tests are like the real exam and cover different difficulty levels. They help students check their knowledge in Verbal Ability, Logical Reasoning, Data Interpretation, and Quantitative Aptitude.
  • Sample Papers : PW has around 700 sample papers with detailed solutions for different subjects. These help students understand the exam pattern and question types.
  • Live Classes and Doubt Sessions : Students can join live classes taught by experienced teachers and attend live sessions to clear any doubts.
  • Study Materials : PW provides recorded lectures, notes, daily practice questions, and video solutions to cover all parts of the exam.
  • Performance Analysis : After mock tests, students get detailed feedback to know their strengths and where to improve, helping them plan better for the real exam.

Topic-Wise Breakdown of CAT Quant Questions

Understanding which topics are frequently tested can help focus preparation efforts effectively.
Topic-Wise Breakdown of CAT Quant Questions
Topic Example Question Solution Approach
Number Systems Find the HCF of 24 and 36. Use prime factorization or division.
Algebra Solve for x in x2+4x+4=0 . Factor or use the quadratic formula.
Geometry What is the circumference of a circle with radius 7 cm? Use C=2πr .
Arithmetic If a shirt costs $20 after a discount of 20%, what was its original price? Set up the equation based on discount percentage.

Practice Sets and Mock Tests

Regular practice through mock tests is essential to build confidence and improve speed. Candidates should aim to complete at least one mock test per week leading up to the exam date.

Recommended Mock Test Resources

To prepare well for MBA entrance exams, using mock tests is very helpful. Regularly taking mock tests helps students understand the exam format and improve their time management. Physics Wallah provides a wide range of mock tests that cover all parts of the MBA syllabus, such as Verbal Ability, Data Interpretation, and Quantitative Aptitude.
  • These tests create a real exam experience and give detailed feedback to show students their strengths and weaknesses. Also, practicing past exam papers can help improve speed and accuracy. By using these mock tests in their study plan, students can feel more confident and ready for the MBA exams.
Qualify for NMAT and other MBA exams with a high score by initiating strategic preparation with PW MBA Online Coaching . Join now to get expert guidance, 24/7 doubt resolution, daily practice papers, and video lectures.

CAT Quantitative Aptitude Questions with Solutions

What is the Quantitative Aptitude (QA) section in the CAT exam?

The QA section of the CAT exam tests your math skills and problem-solving abilities with around 22 questions covering topics like arithmetic, algebra, and geometry.

How important is the Quantitative Aptitude section in CAT?

The QA section is very important as it checks not just math knowledge, but also how fast and accurately you can solve problems under time pressure.

What are the main topics in CAT Quantitative Aptitude?

Key topics include arithmetic, algebra, geometry, probability, time and work, and number systems.

How can I prepare for the CAT QA section?

To prepare, practice a variety of math problems regularly, learn shortcuts and formulas, and take mock tests to improve your speed and accuracy.

Are there any resources available for CAT Quantitative Aptitude practice?

Yes, you can find many practice sets, mock tests, and solution guides online to help you improve your performance in the QA section.
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