Average is an important topic in the Quant section of exams like SSC CGL, SSC CHSL, SSC MTS, and others including banking and railway exams. In this blog, we are going to discuss some questions on average that will be useful for the candidates and will help them boost their score.
SSC CGL Average Questions PDF
The SSC CGL average questions PDF contains 100 questions. It is designed to help candidates practice effectively, improve speed and accuracy, and strengthen problem-solving skills. You can download it using the link below:
Practice Average Questions for SSC CGL and Other Exams
These questions on average are specially prepared for SSC exams like SSC CGL, SSC CHSL, SSC MTS, and others. The questions will start from basic level and slowly it will become more challenging. Solving these will help you strengthen your concept of averages and improve your preparation for upcoming exams.
1. The average of 11 consecutive integers is 45. If the smallest and largest numbers are removed, what is the average of the remaining numbers?
2. The average of 15 numbers is 62. The average of the first 8 numbers is 55 and that of the last 8 numbers is 70. Find the 8th number.
3. The average of 24 observations is 72. Later it was found that one value 96 was wrongly recorded instead of 69 and another value 45 was omitted. What is the correct average?
4. The average of 9 consecutive even numbers is 74. If 4 is added to each number, what will be the new average?
5. The average age of 30 employees is 35 years. 5 employees leave whose average age is 42 years. What is the average age of the remaining employees?
6. A batsman has an average of 52 runs after 25 innings. In the next innings he scores 128 runs. What must be his average in the next 4 innings to make his overall average 60 after 30 innings?
7. The average of 12 numbers is 36. If each number is multiplied by 1.5, and then 6 is subtracted from each, what is the new average?
8. The average of 5 consecutive multiples of 7 is 84. What is the largest number?
9. The average of 18 numbers is 72. If 6 numbers whose average is 65 are replaced by 6 new numbers whose average is 80, what is the new average?
10. The average salary of 40 workers is ₹32,500. The average salary of 25 workers is ₹28,000. What is the average salary of the remaining workers?
11. The average of 6 numbers is 25. If one number is excluded, the average becomes 23. What is the excluded number?
12. The average of 5 consecutive odd numbers is 64. What is the product of the smallest and largest numbers?
13. The average of 10 numbers is 64. If 3 numbers whose average is 70 are removed and 3 new numbers whose average is 50 are added, what is the new average?
14. The average marks of 100 students is 55. The average of boys is 60 and that of girls is 50. If the number of boys is 40, what is the number of girls?
15. The average of 7 numbers is 30. If each number is increased by 20%, what is the increase in the average?
16. The average speed for 4 equal distances at speeds of 30 km/h, 45 km/h, 60 km/h, and 90 km/h is:
17. The average of 25 observations is 78. If each observation is divided by 3 and then 4 is added to each, what is the new average?
18. The average of 8 numbers is 90. If one number is 150, what must be the average of the remaining numbers?
19. The average income of A, B, C, and D is ₹45,000. The average income of A and B is ₹50,000 and that of C and D is ₹40,000. What is the difference between the total income of (A + B) and (C + D)?
20. The average of 16 numbers is 75. If 4 numbers whose average is 60 are removed, what is the average of the remaining numbers?
21. The average of first n natural numbers is 21. Find n.
22. The average of 14 consecutive integers is 205. What is the sum of the smallest five integers?
23. A student’s average in 6 tests is 72. If he scores 90 in the next test, what must be his average in the last 3 tests to make his overall average 80 in 10 tests?
24. The average of 12 numbers is 50. If two numbers 30 and 70 are replaced by 90 and 10 respectively, what is the new average?
25. The average of 9 numbers is 81. If one number is increased by 27, how much will the average increase?
26. The average of 5 consecutive multiples of 9 is 117. What is the smallest number?
27. The average weight of 24 persons increases by 1.8 kg when a new person joins the group. How much heavier is the new person compared to the previous average?
28. The average of 7 numbers is 63. If each number is replaced by its square, which of the following must be true?
29. The average of 4 numbers is 25. If their ratio is 1:2:3:4, what is the largest number?
30. The average of 30 numbers is 18. If 5 numbers whose average is 12 are removed and 5 new numbers whose average is 30 are added, what is the new average?
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Average PYQs for SSC
It is very important to solve the questions that have been asked in the actual paper. The below table will help you out with average PYQs for SSC CGL.
| Question | Exam Name | Asked On | Detailed Solution |
| The average marks (out of 100) of boys and girls in an examination are 75 & 80… | SSC CGL Tier I | 9 Sept 2024 – Shift 1 | Check Here |
| The average temperature of a city for the first fifteen days… | SSC CGL Tier I | 9 Sept 2024 – Shift 2 | Check Here |
| The angles of a triangle are such that one is the average… | SSC CGL Tier I | 9 Sept 2024 – Shift 2 | Check Here |
| The average of the squares of the first 45 natural numbers… | SSC CGL Tier I | 10 Sept 2024 – Shift 3 | Check Here |
| A group of 30 students appeared in a test… | SSC CGL Tier I | 11 Sept 2024 – Shift 1 | Check Here |
| Find the average of the prime numbers lying between 50 and 76… | SSC CGL Tier I | 11 Sept 2024 – Shift 2 | Check Here |
| A class of 30 students appeared in a test… | SSC CGL Tier I | 11 Sept 2024 – Shift 3 | Check Here |
Tips to Solve Average Questions accurately in SSC Exams
Average questions are among the easiest scoring topics in SSC exams if you know the right techniques. Instead of relying on lengthy calculations, use these smart tips to solve questions faster and with greater accuracy.
1. Master the Fundamental Formula
Always begin with the basic concept:
Average = Total Sum ÷ Number of Items
From this, remember two important variations:
- Total Sum = Average × Number of Items
- Number of Items = Total Sum ÷ Average
Most SSC questions can be solved by switching between these three formulas.
2. Convert Average into Total Sum First
Whenever the question gives the average of a group, immediately calculate the total sum.
Example:
If the average age of 12 students is 18 years, then the total age is:
12 × 18 = 216 years
Working with the total sum makes addition, removal, and replacement questions much easier.
3. Remember How the Total Changes
Whenever a person or value is added, removed, or replaced:
- Adding a value increases the total sum.
- Removing a value decreases the total sum.
- Replacing a value changes the total by the difference between the old and new values.
This simple observation eliminates unnecessary calculations.
4. Use the Change in Average Shortcut
If the average changes after adding or removing one item:
Change in Total = Change in Average × Number of Items
This shortcut is frequently tested in SSC exams and can save significant time.
5. For Consecutive Numbers, Find the Middle Number
The average of consecutive numbers is always the middle number. Examples:
- Average of 12, 13, 14, 15, 16 = 14
- Average of 21, 23, 25, 27, 29 = 25
You don’t need to add every number.
6. Know the Rule for Equally Spaced Numbers
If numbers increase by the same amount (Arithmetic Progression), their average is simply:(First Number + Last Number) ÷ 2
Example:
Average of 10, 15, 20, 25, 30
= (10 + 30) ÷ 2 = 20
7. Don’t Use Simple Average for Speed Questions
For equal distances, never calculate average speed by taking the arithmetic mean. Use: Average Speed = (2 × Speed₁ × Speed₂) ÷ (Speed₁ + Speed₂)
Many SSC aspirants lose marks by applying the wrong average.
8. Pay Attention to Words Like “At Least” and “At Most”
Words such as minimum, maximum, at least, at most and exactly often change the entire approach. Read the question carefully before calculating.
9. Identify the Number of Terms Before Solving
Many mistakes occur because candidates assume the wrong number of observations. Check whether the question refers to students, days, innings, months, subjects, numbers. A correct count is essential for an accurate average.
10. Use Difference Instead of Recalculating
When only one value changes, avoid finding the entire average again. Simply calculate how much the total changes and adjust the average accordingly. This method is much faster in the exam.
11. Verify Units Before Calculating
Ensure every quantity is in the same unit before finding the average. For example:
- Convert kilograms and grams into one unit.
- Convert hours and minutes consistently.
- Convert metres and centimetres where required.
Ignoring units can lead to incorrect answers.
12. Estimate the Answer Before Solving
Average always lies between the smallest and largest values. If your final answer falls outside this range (except in weighted or special cases), recheck your calculations immediately.
13. Avoid Premature Rounding
Keep fractions intact during intermediate calculations. Round only in the final step to avoid losing accuracy, especially in decimal-based questions.
14. Learn Common SSC Question Patterns
Most Average questions fall into these categories:
- Finding the missing number
- Addition or removal of a person/item
- Replacement questions
- Consecutive numbers
- Average age
- Average marks
- Average speed
- Average income or salary
Recognizing the pattern quickly helps you choose the correct shortcut.
15. Practice with a Timer
During practice sessions, aim to solve each Average question in under 60–90 seconds. Review every incorrect answer to identify whether the mistake was due to calculation, concept, or misunderstanding the question. This habit significantly improves speed and accuracy for the actual SSC exam.
Average Problems for SSC Exams – FAQs
Ans. Average = (Sum of all values) ÷ (Number of values).
Ans. Original total = New average × New count + Removed value; divide by original count.
Ans. It equals the middle term when the number of terms is odd.
Ans. Required score = Target average × Total count − Sum of known scores.
Ans. Learn standard shortcuts, revise common patterns, and practice regularly to build familiarity.-
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