Focused Study for Competitive Exams
Average – Advanced Cases + Shortcut Tricks
Master average problems using fast methods and avoid common mistakes.
🔥 Shortcut Tricks
- Average = Total ÷ Number
- Total = Average × Number
- Consecutive numbers → middle value
- Use remove–replace method
Solve in 5 Seconds
Q1: Average of 10, 20, 30?
Answer: 20
Q2: Average of 5 consecutive numbers = 25
Answer: Middle value = 25
Exam Level Questions
Q3: Average of 5 numbers is 20. Find total.
Solution:
Total = 20 × 5 = 100
Q4: Average of 10 numbers is 15. One number 25 removed. New average?
Solution:
Total = 150
New total = 125
New average = 125 ÷ 9 = 13.89
Q5: Average of 6 persons = 30. One leaves, new average = 28. Find person’s age.
Solution:
Old total = 180
New total = 140
Age = 40
Q6: Average of first 20 numbers?
Shortcut:
(1 + 20)/2 = 10.5
❌ Exam Trap
Q: Average increased from 20 to 22 after adding one number. Find number?
Trap Solution:
Increase = 2 per person → depends on total count
Correct Logic:
Use total method (don’t guess directly)
Speed Booster Tip
Use "Total = Average × Number" instead of adding values one by one.
Quant • Average • Bank Exam Preparation
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