Average – Speed Tricks & Tough Problems
Learn how to solve average problems quickly using shortcut tricks for bank exams.
1. Important Concepts
- Average = Total Sum ÷ Number of items
- Total Sum = Average × Number
- Change in average concept
2. Speed Tricks
- Use deviation method
- Replace method (remove & add)
- Average of consecutive numbers = middle value
- Use symmetry for fast solving
3. Tough Problems
Q1: Average of 5 numbers is 20. Find total sum.
Solution:
Total = 20 × 5 = 100
Q2: Average of 10 numbers is 15. One number (25) is removed. Find new average.
Solution:
Total = 150
New total = 150 − 25 = 125
New average = 125 ÷ 9 = 13.89
Q3: Average of 4 consecutive numbers is 25. Find numbers.
Solution:
Numbers = 24, 25, 26, 27
Answer = 24, 25, 26, 27
Q4: Average age of 6 people is 30. One person leaves and average becomes 28. Find age of person.
Solution:
Total = 180
New total = 140
Age = 180 − 140 = 40
Q5: Average of first 10 numbers = ?
Solution:
(1 + 10)/2 = 5.5
Answer = 5.5
4. Exam Tips
- Use shortcut formulas instead of full calculation
- Apply remove-add method quickly
- Focus on patterns in consecutive numbers
- Avoid long addition
Shaktimatha Learning
Quant • Average • Bank Exam Preparation
Quant • Average • Bank Exam Preparation
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