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 15 focused questions for this pattern.

Q1. Two values are in ratio 6:2. If total is 240, find first value.

  • 177
  • 186
  • 183
  • 180

Answer: 180

Explanation: Step 1: Total parts = 6+2. Step 2: One part = 240/(8). Step 3: First value = 6 parts = 180.

Q2. Two values are in ratio 3:7. If total is 150, find first value.

  • 42
  • 48
  • 51
  • 45

Answer: 45

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

Q3. Two values are in ratio 7:7. If total is 190, find first value.

  • 92
  • 95
  • 98
  • 101

Answer: 95

Explanation: Step 1: Total parts = 7+7. Step 2: One part = 190/(14). Step 3: First value = 7 parts = 95.

Q4. Two values are in ratio 6:3. If total is 160, find first value.

  • 106
  • 103
  • 109
  • 112

Answer: 106

Explanation: Step 1: Total parts = 6+3. Step 2: One part = 160/(9). Step 3: First value = 6 parts = 106.

Q5. Two values are in ratio 2:5. If total is 130, find first value.

  • 34
  • 40
  • 37
  • 43

Answer: 37

Explanation: Step 1: Total parts = 2+5. Step 2: One part = 130/(7). Step 3: First value = 2 parts = 37.

Q6. Two values are in ratio 3:2. If total is 220, find first value.

  • 138
  • 129
  • 132
  • 135

Answer: 132

Explanation: Step 1: Total parts = 3+2. Step 2: One part = 220/(5). Step 3: First value = 3 parts = 132.

Q7. Two values are in ratio 4:4. If total is 110, find first value.

  • 52
  • 58
  • 61
  • 55

Answer: 55

Explanation: Step 1: Total parts = 4+4. Step 2: One part = 110/(8). Step 3: First value = 4 parts = 55.

Q8. Two values are in ratio 7:4. If total is 240, find first value.

  • 158
  • 152
  • 155
  • 149

Answer: 152

Explanation: Step 1: Total parts = 7+4. Step 2: One part = 240/(11). Step 3: First value = 7 parts = 152.

Q9. Two values are in ratio 2:4. If total is 210, find first value.

  • 73
  • 70
  • 67
  • 76

Answer: 70

Explanation: Step 1: Total parts = 2+4. Step 2: One part = 210/(6). Step 3: First value = 2 parts = 70.

Q10. Two values are in ratio 4:6. If total is 150, find first value.

  • 57
  • 60
  • 63
  • 66

Answer: 60

Explanation: Step 1: Total parts = 4+6. Step 2: One part = 150/(10). Step 3: First value = 4 parts = 60.

Q11. Two values are in ratio 7:6. If total is 150, find first value.

  • 77
  • 83
  • 80
  • 86

Answer: 80

Explanation: Step 1: Total parts = 7+6. Step 2: One part = 150/(13). Step 3: First value = 7 parts = 80.

Q12. Two values are in ratio 6:2. If total is 150, find first value.

  • 109
  • 115
  • 118
  • 112

Answer: 112

Explanation: Step 1: Total parts = 6+2. Step 2: One part = 150/(8). Step 3: First value = 6 parts = 112.

Q13. Two values are in ratio 7:3. If total is 130, find first value.

  • 88
  • 94
  • 91
  • 97

Answer: 91

Explanation: Step 1: Total parts = 7+3. Step 2: One part = 130/(10). Step 3: First value = 7 parts = 91.

Q14. Two values are in ratio 7:2. If total is 80, find first value.

  • 68
  • 62
  • 65
  • 59

Answer: 62

Explanation: Step 1: Total parts = 7+2. Step 2: One part = 80/(9). Step 3: First value = 7 parts = 62.

Q15. Two values are in ratio 7:6. If total is 120, find first value.

  • 64
  • 61
  • 67
  • 70

Answer: 64

Explanation: Step 1: Total parts = 7+6. Step 2: One part = 120/(13). Step 3: First value = 7 parts = 64.