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CAT Averages Questions PDF for CAT 2025
CAT averages questions is one of the most important and easy topics in the CAT Quant section. Questions on averages appear almost every year in the Arithmetic part of the exam. If you understand basic ideas like mean, weighted average, and replacement, you can easily solve most problems.
To help you master this topic, we are sharing a FREE CAT Averages Questions PDF with video solutions for CAT 2025. Download it, practice regularly, and use the videos to learn the right method and improve your speed and accuracy.
Download CAT Averages Questions PDF
Boost your CAT Quant score with this FREE CAT Averages Questions PDF. It includes important CAT questions aligned to the latest CAT exam pattern, with clear step-by-step solutions and helpful video explanations. Start practicing now to build accuracy and consistency!
CAT Averages Formula PDF
Here we’ve compiled the most important Averages formulas in a simple, exam-focused format. These will help you handle weighted average, replacement, combined groups, and “equalizing” type questions without confusion. You can also download the free formula PDF for quick revision anytime.
Common Mistakes to Avoid While Solving CAT Averages Questions
CAT Averages questions look easy, but small slips lead to errors. Avoid these common mistakes:
- Mixing up totals: Always compute total = average × number of terms before and after any change.
- Wrong headcount: When adding/removing people/scores, update the count correctly before applying formulas.
- Weighted vs simple average: Use weighted average when group sizes differ—don’t average the averages directly.
- Replacement traps: For “one item replaced” questions, compare totals, not just averages.
- Unit/interpretation errors: In “per day” or “per match” problems, confirm what the average is taken over.
Also Read, CAT Arithmetic Questions PDF with Free Video Solutions
How to Use the CAT Averages PDF + Video Bundle Effectively
Follow these quick steps for best results:
- Revise the Formulas First: Skim the formula sheet; mark the ones you find tricky.
- Timed Practice: Attempt 20 questions in 25–30 minutes like a mini-mock. Try without videos first.
- Analyze with Videos: For questions you missed or took too long, watch the video solution and note the method.
- Error Notebook: Log mistakes by type—counting error, total-sum error, wrong weighting, etc.
- Weekly Review: Re-do 5 old questions from the error log every weekend.
- Mock Integration: Add 5–10 Averages questions in each CAT mock test to build confidence under stress.
List of CAT Averages Questions for CAT 2025
Question 1
The average marks of a student in 10 papers are 80. If the highest and the lowest scores are not considered, the average is 81. If his highest score is 92, find the lowest.
correct answer:- 2
Question 2
A college has raised 75% of the amount it needs for a new building by receiving an average donation of Rs. 600 from the people already solicited. The people already solicited represent 60% of the people the college will ask for donations. If the college is to raise exactly the amount needed for the new building, what should be the average donation from the remaining people to be solicited?
correct answer:- 1
Question 3
A set of consecutive positive integers beginning with 1 is written on the blackboard. A student came along and erased one number. The average of the remaining numbers is $$\frac{602}{17}$$. What was the number erased?
correct answer:- 1
Question 4
The average of three integers is 13. When a natural number n is included, the average of these four integers remains an odd integer. The minimum possible value of n is
correct answer:- 3
Question 5
The average weight of students in a class increases by 600 gm when some new students join the class. If the average weight of the new students is 3 kg more than the average weight of the original students, then the ratio of the number of original students to the number of new students is
correct answer:- 3
Question 6
A CAT aspirant appears for a certain number of tests. His average score increases by 1 if the first 10 tests are not considered, and decreases by 1 if the last 10 tests are not considered. If his average scores for the first 10 and the last 10 tests are 20 and 30, respectively, then the total number of tests taken by him is
correct answer:- 60
Question 7
Ten years ago, the ages of the members of a joint family of eight people added up to 231 years. Three years later, one member died at the age of 60 years and a child was born during the same year. After another three years, one more member died, again at 60, and a child was born during the same year. The current average age of this eight-member joint family is nearest to
[CAT 2007]
correct answer:- 5
