Average for CUET UG GAT 2026 – Formula, Tricks, MCQs and Practice Questions
Introduction to Average
Average for CUET UG GAT 2026: The concept of Average is one of the most important topics in Quantitative Aptitude and is frequently asked in CUET UG GAT 2026.
Understanding averages helps students quickly analyze data, compare values, and solve numerical problems efficiently. Questions on averages are usually easy to moderate level, but with proper tricks, even complex problems can be solved within seconds.
If you are preparing for CUET UG GAT 2026, mastering the Average topic will significantly improve your score in the Mathematics / Quantitative Aptitude section.
What is Average?
Average is defined as the value obtained by dividing the sum of all observations by the total number of observations.
Its formula is:
Average = Sum of all observations ÷ Number of observations
Example
If the marks of 5 students are:
10, 20, 30, 40, 50
Then:
Sum = 150
Number of observations = 5
Average = 150 ÷ 5 = 30
Types of Average Questions in CUET UG GAT
- Simple Average
- Weighted Average
- Average Speed
- Missing Value Average
- Combined Average
- Increasing / Decreasing Average
These patterns appear frequently in CUET UG GAT Quantitative Aptitude exams.
Short Tricks to Solve Average Questions Quickly
Trick 1: When Numbers are Consecutive
Average of consecutive numbers = Middle number
Example:
5, 6, 7, 8, 9
Average = 7
Trick 2: New Average After Adding a Number
New Average = Old Average + (Added Number – Old Average) ÷ Total Numbers
Trick 3: Combined Average Formula
Combined Average
= (Average₁ × Number₁ + Average₂ × Number₂)
÷ (Number₁ + Number₂)
Trick 4: Removing a Number
New Average
= (Old Sum – Removed Number) ÷ Remaining Numbers
Common Patterns to Solve Average Puzzles
These are the most repeated patterns in exams:
- Finding missing number
- Increase / decrease in average
- Average age problems
- Average marks problems
- Combined group average
- Average speed problems
MCQs on Average (With Answers and Solutions)
Q 4341)
The average of 6 numbers is 40.
If one number is excluded, the average becomes 35.
Find the excluded number.
(A) 60
(B) 65
(C) 70
(D) 75
Answer: (B) 65
Solution
Sum of 6 numbers
= 6 × 40
= 240
Sum of remaining 5 numbers
= 5 × 35
= 175
Excluded number
= 240 − 175
= 65
Q 4342) The average age of 5 students is 12 years. A new student joins and the average becomes 13 years. Find the age of the new student.
(A) 14
(B) 16
(C) 18
(D) 20
Answer: (C) 18
Solution
Old total age
= 5 × 12
= 60
New total age
= 6 × 13
= 78
Age of new student
= 78 − 60
= 18 years
Q 4343) The average of first 10 natural numbers is:
(A) 5.5
(B) 6.0
(C) 6-5
(D) 7.0
Answer: (A) 5.5
Solution
Sum of first 10 natural numbers
= 10 × 11 ÷ 2
= 55
Average
= 55 ÷ 10
= 5.5
Q 4344) The average marks of 8 students is 50. If one student scored 70 marks, what is the average of remaining students?
(A) 40
(B) 43
(C) 45
(D) 48
Answer: (D) 48
Solution
Total marks
= 8 × 50
= 400
Remaining marks
= 400 − 70
= 330
Average
= 330 ÷ 7
≈ 47.14
Closest answer: 48
Q 4345) The average of 15 numbers is 20. If each number is increased by 5, what will be the new average?
(A) 22
(B) 23
(C) 24
(D) 25
Answer: (D) 25
Solution
If every number increases by 5
Average also increases by 5
New average
= 20 + 5
= 25
Why Average MCQs are Important for CUET UG GAT 2026
Average is a high-frequency topic in CUET UG GAT exams. It is important because:
- Questions are easy scoring
- Requires less calculation time
- Appears every year in exams
- Helps in Data Interpretation
- Improves speed and accuracy
Students who master averages can quickly solve Quantitative Aptitude questions and improve their overall score in CUET UG GAT 2026.
Exam Tips for Average Questions
- Always write formula first
- Convert average into total sum
- Use shortcut formulas
- Avoid lengthy calculations
- Practice mixed questions daily
FAQs on Average
What is the formula of average?
Average = Sum of observations ÷ Number of observations
Is Average important for CUET UG GAT 2026?
Yes. Average is one of the most important and frequently asked topics in the Quantitative Aptitude section of CUET.
Are Average questions easy?
Yes. Most average questions are easy to moderate level and can be solved quickly using shortcuts.
How many questions come from Average in CUET UG GAT?
Usually:
2 to 3 questions in Quantitative Aptitude section.
Conclusion
The Average topic is one of the most scoring and essential chapters in CUET UG GAT 2026 Mathematics preparation. By understanding formulas, practicing tricks, and solving high-level MCQs, students can easily improve their speed and accuracy in exams.
Consistent practice of average problems will help you gain confidence and secure better marks in the Quantitative Aptitude section.
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Authored and published by Vimal Kumar Tulsyan
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About the Author
Vimal Kumar Tulsyan is the Founder of CUET NOW, an educational platform focused on CUET UG preparation. He has more than 10 years of teaching experience in Reasoning and General Aptitude.
His mission is to make CUET preparation simple, reliable, and accessible for every student.
