How to Solve Average-Based Questions for RRB PO Exams
Questions related to averages regularly make up a considerable proportion of questions in the Quantitative Aptitude section of the RRB PO exam. While the concept appears simple, candidates who can identify the logic behind the question and apply quick, accurate calculation methods will find this topic a true test of their conceptual understanding. This blog will explain the important concepts, types of average questions, and best methodologies to solve average-based questions in the context of the RRB PO exam, along with a PDF to practice the same.
The average of a set of numbers is simply the sum of the numbers divided by the total count of numbers. While the formula is basic, RRB PO questions often combine averages with other arithmetic concepts such as ratio, percentage, and mixtures, making them moderately complex.
Formula for calculating Average
Average = (Sum of all observations) / (Number of observations)
In this section, we are providing average-based questions PDF for practice. The PDF is based on the previous year’s questions and is made after a thorough analysis done by our experts. Download it and practice the questions for better performance on the exam day.
To prepare effectively, you should understand the various patterns in which average-based questions are asked. In this section, we have provided various average-based types along with an example for better understanding.
These are direct questions where you calculate the mean of given values.
Example: Find the average of 12, 18, 24, and 30.
Solution: (12 + 18 + 24 + 30) / 4 = 84 / 4 = 21
When values contribute unequally, a weighted average is used.
Example: The average marks of a student in Maths and English are 60 and 80, respectively. If the ratio of mark distribution is 2:3, find the overall average.
Solution: (60×2 + 80×3) / (2+3) = (120 + 240)/5 = 72
These involve the concept of adding or removing numbers and observing how the average changes.
Example: The average age of 5 people is 30 years. When a new person joins, the average becomes 32 years. Find the age of the new person.
Solution: Total age of 5 people = 5×30 = 150
New total = 6×32 = 192
Age of new person = 192 – 150 = 42 years
These questions involve combining multiple groups with different averages.
Example: The average marks of 20 boys are 60, and that of 30 girls is 50. Find the combined average.
Solution: (20×60 + 30×50) / (20 + 30) = (1200 + 1500)/50 = 54
When different distances are covered at different speeds, the average speed is found using:
Formula: Average Speed = (2 × x × y) / (x + y)
Example: A car travels at 40 km/h going and 60 km/h returning.
Solution: (2×40×60)/(40+60) = 4800/100 = 48 km/h
Step 1: Understand the Question Pattern
Read carefully whether the question is based on the simple average, the group average, or the change in average. Misinterpreting the question type can lead to incorrect answers.
Step 2: Use Ratio Logic When Possible
Instead of performing lengthy calculations, apply ratios to find relative differences. For example, in weighted averages, directly multiplying weights saves time.
Step 3: Practice Mental Calculation
Since average-based questions often involve division and multiplication, improving your calculation speed helps save time. Learn short tricks for dividing by 5, 25, and 50.
Step 4: Avoid Fractions When Possible
Try converting fractions into percentages or ratios for quicker mental computation. For instance, instead of 3/5, think of it as 60%.
Step 5: Revise Formulae Regularly
Maintain a small formula notebook with essential relationships such as:
A strong preparation plan for average-based questions requires consistency, conceptual clarity, and timed practice. Here’s how you can prepare effectively for the RRB PO exam. Here are a few tips to prepare average-based questions for the RRB PO Exam.
Make daily practice a habit. Cover all types, simple, weighted, and average speed. Regular exposure improves accuracy and helps you recognise patterns faster. Focus on both understanding the logic and applying short calculation methods.
Speed and accuracy are key in prelims. Learn to simplify fractions, round off smartly, and use mental math wherever possible. These small improvements in calculation save precious seconds during the exam.
Review the last 3-4 years’ Quant papers. This helps you identify the commonly repeated formats and difficulty levels of average-based questions. Prioritise those question types that appear frequently in RRB exams.
Set a 10-minute timer and solve 10 questions focused only on averages. This builds exam temperament, improves time management, and helps identify weak areas. After each mock, analyse mistakes to avoid repetition. Every weekend, go through your notes, formulas, and unsolved questions. Revising frequently strengthens retention and enhances accuracy under pressure.
In this article, we have given a PDF that contains average questions asked in previous examinations. You can buy our test series, where you can reattempt the full-length mock tests and get a Detailed Comparison with the Topper, compare your Time, Score, Accuracy, Correct/Wrong Answers, and even the Average Performance side-by-side.
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Usually, 3–5 questions are asked from averages in the Quantitative Aptitude section, often mixed with other arithmetic topics.
No, they are conceptually simple but require accuracy and speed. With regular practice and clarity of formulas, they can become easy scoring topics.
Start with basic questions, then move to weighted and group averages. Practice 10–15 questions daily and revise key formulas regularly.
Key formulas include:
Average = Sum of terms / Number of terms
Sum = Average × Number of terms
Average Speed = (2xy) / (x + y)
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