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Division Analogy

Division Analogy problems involve number pairs where the second number is obtained by dividing the first number by a fixed constant. For example, in the pair 24:6, the relationship is 24 ÷ 4 = 6. You must identify the divisor and apply it to find the missing number. These problems test division skills and factor recognition.

10Worksheets
200+Practice Questions
BeginnerDifficulty
1-2 hoursHours to Master

What You'll Learn

Introduction & Overview Why This Matters How to Solve Pro Tips & Tricks
Shortcut Methods Common Mistakes Practice Worksheets Exam Importance

Introduction to Division Analogy

Division Analogy problems involve number pairs where the second number is obtained by dividing the first number by a fixed constant. For example, in the pair 24:6, the relationship is 24 ÷ 4 = 6. You must identify the divisor and apply it to find the missing number. These problems test division skills and factor recognition.

Prerequisites

Basic division skills Understanding of constant ratio Factor recognition Simple arithmetic operations
Why This Matters: Division Analogy problems appear in 1-2 questions in SSC CGL and Banking PO exams. They test division skills and pattern recognition.

How to Solve Division Analogy Problems

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Step 1: Identify the two numbers in the given analogy pair (A:B)

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Step 2: Calculate the quotient: A ÷ B = k (if B ≠ 0)

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Step 3: Verify that the same divisor applies consistently

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Step 4: Apply the same division to the second pair's first number: ? = C ÷ k

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Step 5: For multiplication relationship (B = A × k), apply accordingly

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Step 6: Check if the divisor follows a pattern (e.g., ÷2, ÷3, ÷4)

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Step 7: Present the answer

Pro Strategy: Always calculate the quotient (A ÷ B) to find the divisor. Apply the same divisor to the second pair. For fractional results, use exact fractions.

Example Problem

Example: 36 : 6 :: 48 : ? Solution: Step 1: First pair: 36 and 6 Step 2: Quotient = 36 ÷ 6 = 6 Step 3: Relationship: Divide by 6 Step 4: Apply to 48: 48 ÷ 6 = 8 Answer: 8

Pro Tips & Tricks

  • Divisor = First number ÷ Second number
  • The divisor can be integer or fraction (e.g., 8:12 = ×1.5, or ÷0.666)
  • For multiple examples, verify consistency
  • Common divisors: 2, 3, 4, 5, 6, 8, 10
  • Watch for patterns where divisor increases (e.g., ÷2, ÷3, ÷4)
  • Check if the relationship is commutative (A ÷ k = B, B × k = A)

Shortcut Methods to Solve Faster

If A:B, then ? = C ÷ (A ÷ B)
Constant divisor = A ÷ B
For multiplication pattern: A × k = B, then answer = C × k

Common Mistakes to Avoid

Dividing in wrong direction (B ÷ A instead of A ÷ B)
Multiplying instead of dividing
Forgetting to verify the pattern with all given pairs
Using the wrong direction (A to B vs B to A)

Exam Importance

Division Analogy is an important topic for various competitive exams. Here's how frequently it appears:

SSC CGL
1-2 questions
BANKING PO
1-2 questions
RAILWAYS RRB
1-2 questions
CAT
0-1 questions
INSURANCE
1-2 questions

Ready to Master Division Analogy?

Start with Worksheet 1 and work your way up to expert level! Each worksheet includes:

20 practice questions
Detailed solutions
Step-by-step explanations
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