Most Important CAT Averages Questions PDF for CAT 2026
Averages is an important topic in the CAT Quantitative Aptitude section, particularly within Arithmetic. Although the basic formula is simple, CAT Averages questions often test how well you can apply concepts such as weighted averages, combined averages, replacement of values, and changes in the average when new members are added or removed.
For CAT 2026 preparation, practising different types of Averages questions can help you improve your calculation speed, accuracy, and problem-solving approach. Questions involving average marks, ages, salaries, weights, and consecutive numbers are especially useful for understanding how this concept is tested.
To help you prepare, we have compiled a FREE CAT Averages Questions PDF with detailed solutions and video explanations. Download the PDF, practise the important questions, and strengthen your Arithmetic preparation for CAT 2026.
You can also explore the complete CAT 2026 syllabus to understand how Averages fits into the Quantitative Aptitude section.
Download CAT Averages Questions PDF
The CAT Averages Questions PDF contains important practice questions covering basic averages, weighted averages, replacement-based problems, and applications of averages in different situations.
These questions are useful for aspirants looking for CAT Averages practice questions with solutions, especially those who want to revise Arithmetic concepts before attempting full-length mocks.
Practising these questions will help you identify common calculation mistakes, recognise question patterns, and develop faster solving methods.
CAT Averages Formula PDF
Understanding the important Averages formulas for CAT is essential before solving advanced Arithmetic questions. While most questions begin with the basic average formula, the real challenge is identifying how the total changes when values are added, removed, or replaced.
The formula PDF covers important concepts such as weighted averages, combined averages, replacement, and equalising averages.
Some essential formulas to revise are:
Concept | Important formula |
Basic Average | Average = Sum of observations ÷ Number of observations |
Total Sum | Sum = Average × Number of observations |
Combined Average | (n₁A₁ + n₂A₂) ÷ (n₁ + n₂) |
Weighted Average | Σ(wx) ÷ Σw |
Replacement of One Value | Change in average = (New value − Old value) ÷ Number of observations |
Average of Consecutive Integers | (First term + Last term) ÷ 2 |
These formulas are particularly useful for solving CAT weighted average questions, average marks problems, and questions involving groups of different sizes.
For broader revision, refer to the CAT Quant Cheat Sheet alongside your Averages formula PDF.
Also Read: CAT 2026 Quant Topic-wise Questions PDF (Most Expected)
Common Mistakes to Avoid While Solving CAT Averages Questions
Averages questions may appear straightforward, but many CAT aspirants lose marks because of incorrect calculations or misinterpreting the information given.
Here are some common mistakes to avoid:
- Confusing average with total: Always calculate the total using Average × Number of observations before making changes.
- Using the wrong number of observations: When people or values are added or removed, remember to update the total count.
- Incorrect weighted average calculations: When two groups have different sizes, directly averaging their individual averages gives an incorrect result.
- Mistakes in replacement questions: Compare the original and updated totals instead of calculating everything from scratch.
- Ignoring units: Check whether values are expressed in kilograms, grams, years, rupees, or other units.
- Spending too much time on calculations: Look for changes in totals or differences between averages to simplify lengthy questions.
For example, if the average of 10 numbers increases by 2, the total sum increases by 20. Recognising this relationship can save several calculation steps.
Also Read: CAT Quant Cheat Sheet 2026: Important PYQs, Formulas PDF
How to Use the CAT Averages PDF + Video Bundle Effectively
Simply downloading a CAT Averages Questions PDF with solutions will not improve your score unless you practise the questions and analyse your mistakes.
Follow this approach to get the most out of the PDF and video solutions:
- Revise the formulas first: Spend 10–15 minutes reviewing basic averages, weighted averages, and replacement formulas.
- Practise with a timer: Attempt 15–20 questions in a focused practice session. Prioritise accuracy before reducing your solving time.
- Watch the video solutions: Review questions you answered incorrectly or took too long to solve. Look for shorter approaches.
- Maintain an error notebook: Record whether your mistakes were caused by calculation errors, incorrect formulas, or misunderstanding the question.
- Revise difficult questions: Reattempt previously incorrect questions after a few days without looking at the solutions.
- Apply concepts in CAT mocks: Use CAT Mock Tests to evaluate how well you can solve Arithmetic questions under actual exam conditions.
As your preparation progresses, combine Averages with related Arithmetic topics such as percentages, ratios, mixtures, and alligation.
Solving CAT Previous Year Questions will also help you understand how basic Averages concepts can appear within more complex Quant questions.
Also Read: CAT PYQs PDF: Topic-wise Questions with Video Solutions
CAT Averages Questions PDF 2026: Conclusion
Practising the CAT Averages Questions PDF is an effective way to strengthen your Arithmetic preparation for CAT 2026. The free PDF, detailed solutions and video explanations help you understand important question types, including weighted averages, combined averages, replacement problems and real-life applications. Regular practice also helps you identify calculation mistakes and improve your ability to select efficient solving methods.
To make the most of these resources, revise the CAT Averages Formula PDF, practise questions under timed conditions and review the solutions to questions you find difficult. Combine this preparation with CAT previous year questions and mock tests to build confidence across the Quantitative Aptitude section. Download the free CAT Averages Questions PDF and focus on consistent, accuracy-driven practice to improve your CAT 2026 performance.
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