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 5 focused questions for this pattern.

Q1. Two values are in ratio 7:3. If total is 180, find first value.

  • 129
  • 126
  • 132
  • 123

Answer: 126

Explanation: Step 1: Total parts = 7+3. Step 2: One part = 180/(10). Step 3: First value = 7 parts = 126.

Q2. Two values are in ratio 3:5. If total is 120, find first value.

  • 45
  • 51
  • 48
  • 42

Answer: 45

Explanation: Step 1: Total parts = 3+5. Step 2: One part = 120/(8). Step 3: First value = 3 parts = 45.

Q3. Two values are in ratio 2:6. If total is 90, find first value.

  • 28
  • 22
  • 25
  • 19

Answer: 22

Explanation: Step 1: Total parts = 2+6. Step 2: One part = 90/(8). Step 3: First value = 2 parts = 22.

Q4. Two values are in ratio 6:5. If total is 180, find first value.

  • 104
  • 98
  • 95
  • 101

Answer: 98

Explanation: Step 1: Total parts = 6+5. Step 2: One part = 180/(11). Step 3: First value = 6 parts = 98.

Q5. Two values are in ratio 3:7. If total is 170, find first value.

  • 57
  • 54
  • 51
  • 48

Answer: 51

Explanation: Step 1: Total parts = 3+7. Step 2: One part = 170/(10). Step 3: First value = 3 parts = 51.