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Average – Easy and High Scoring Topic

Quantitative Aptitude – Average

Average is one of the simplest and most important topics in quantitative aptitude. It is frequently asked in bank exams and helps in solving many real-life and exam-based problems quickly.

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Basic Concept

Average = Total Sum / Number of Items

Example: Average of 10, 20, 30 = (10 + 20 + 30) / 3 = 20

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Important Formulas

  • Total Sum = Average × Number of Items
  • New Average = (Old Sum ± Change) / New Number
  • If one value changes, total sum changes accordingly
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Shortcut Tricks

1. Equal Distribution Concept

Average means equal distribution of total quantity.

2. Assumed Average Method

Take a base value to simplify calculations and adjust differences.

3. Change in Average

If average increases by x, total increase = x × number of items

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Practice Questions

Q1. Find average of 5, 10, 15, 20
Answer: 12.5

Q2. Average of 4 numbers is 25. Find total sum
Answer: 100

Q3. Average of 5 numbers is 20. If one number is removed, average becomes 18. Find removed number
Answer: 28

Q4. Average of 10 numbers is 15. If each increases by 2, find new average
Answer: 17

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Speed Strategy

  • Use direct formula instead of long addition
  • Focus on total sum concept
  • Use assumed average for large data
  • Avoid unnecessary calculations
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Practice Task

1. Find average of 12, 18, 24
2. Average of 6 numbers is 30. Find total
3. If average increases by 5 for 4 items, find total increase

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