General Aptitude

Averages Tutorial

Averages are often combined with other topics. Master Sum = Average × Count for quick solutions.

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Key Formulas

Basic Average

Open

Calculate average of numbers.

Find Missing Value

Open

Find unknown value given average.

Basic Average

Calculate average of numbers.

When to Use: Basic average questions.

Step-by-Step Method

  1. Average = Sum of values / Number of values
  2. Sum = Average × Number

Worked Example

Question: Numbers: 12, 14, 16, 18, 20. Find average.

  1. Sum = 12+14+16+18+20 = 80
  2. Number of values = 5
  3. Average = 80/5 = 16

Final Answer: 16

Option Analysis

Common Mistakes

Quick Shortcut: Average = Sum/Count. Sum = Average × Count.

Practice This Pattern

5 Q 10 Q 15 Q

Generated 10 focused questions for this pattern.

Q1. Two values are in ratio 4:6. If total is 220, find first value.

  • 94
  • 85
  • 88
  • 91

Answer: 88

Explanation: Step 1: Total parts = 4+6. Step 2: One part = 220/(10). Step 3: First value = 4 parts = 88.

Q2. Two values are in ratio 6:5. If total is 220, find first value.

  • 117
  • 120
  • 126
  • 123

Answer: 120

Explanation: Step 1: Total parts = 6+5. Step 2: One part = 220/(11). Step 3: First value = 6 parts = 120.

Q3. Two values are in ratio 3:7. If total is 150, find first value.

  • 45
  • 51
  • 42
  • 48

Answer: 45

Explanation: Step 1: Total parts = 3+7. Step 2: One part = 150/(10). Step 3: First value = 3 parts = 45.

Q4. Two values are in ratio 3:3. If total is 120, find first value.

  • 66
  • 60
  • 63
  • 57

Answer: 60

Explanation: Step 1: Total parts = 3+3. Step 2: One part = 120/(6). Step 3: First value = 3 parts = 60.

Q5. Two values are in ratio 3:7. If total is 140, find first value.

  • 45
  • 48
  • 42
  • 39

Answer: 42

Explanation: Step 1: Total parts = 3+7. Step 2: One part = 140/(10). Step 3: First value = 3 parts = 42.

Q6. Two values are in ratio 5:6. If total is 130, find first value.

  • 59
  • 65
  • 62
  • 56

Answer: 59

Explanation: Step 1: Total parts = 5+6. Step 2: One part = 130/(11). Step 3: First value = 5 parts = 59.

Q7. Two values are in ratio 5:3. If total is 160, find first value.

  • 97
  • 106
  • 103
  • 100

Answer: 100

Explanation: Step 1: Total parts = 5+3. Step 2: One part = 160/(8). Step 3: First value = 5 parts = 100.

Q8. Two values are in ratio 4:3. If total is 110, find first value.

  • 62
  • 59
  • 65
  • 68

Answer: 62

Explanation: Step 1: Total parts = 4+3. Step 2: One part = 110/(7). Step 3: First value = 4 parts = 62.

Q9. Two values are in ratio 3:2. If total is 110, find first value.

  • 69
  • 63
  • 72
  • 66

Answer: 66

Explanation: Step 1: Total parts = 3+2. Step 2: One part = 110/(5). Step 3: First value = 3 parts = 66.

Q10. Two values are in ratio 4:6. If total is 180, find first value.

  • 75
  • 69
  • 72
  • 78

Answer: 72

Explanation: Step 1: Total parts = 4+6. Step 2: One part = 180/(10). Step 3: First value = 4 parts = 72.