Reverse Number Analogy

Reverse Number Analogy problems involve number pairs where the second number is the reverse of the digits of the first number. For example, in the pair 123:321, the relationship is reversing the digits. You may also encounter reverse then add/subtract patterns. These problems test digit manipulation and number sense.

10Worksheets
200+Practice Questions
IntermediateDifficulty
2-3 hoursHours to Master

Introduction to Reverse Number Analogy

Reverse Number Analogy problems involve number pairs where the second number is the reverse of the digits of the first number. For example, in the pair 123:321, the relationship is reversing the digits. You may also encounter reverse then add/subtract patterns. These problems test digit manipulation and number sense.

Prerequisites

Understanding of digit reversal Place value concepts Basic arithmetic Number digit extraction
Why This Matters: Reverse Number Analogy problems appear in 1-2 questions in SSC CGL and Banking PO exams. They test digit reversal skills and pattern recognition.

How to Solve Reverse Number 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: Reverse the digits of A to get R

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Step 3: Check if B equals R (or R with additional operation)

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Step 4: Common variations: B = reverse(A) ± k, or B = reverse(A ± k)

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Step 5: Apply the same operation to the second pair's first number

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Step 6: Verify the pattern with all given examples

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Step 7: Present the answer

Pro Strategy: Write the number and reverse the digit order. For numbers ending with zero, reversing changes the number of digits (e.g., 120 reversed is 021 = 21). Consider whether leading zeros are dropped.

Example Problem

Example: 123 : 321 :: 456 : ? Solution: Step 1: First pair: 123 and 321 Step 2: Reverse of 123 is 321 Step 3: Relationship: Second number is reverse of first Step 4: Apply to 456: Reverse of 456 is 654 Answer: 654

Pro Tips & Tricks

  • Reverse of 123 = 321, reverse of 456 = 654, reverse of 789 = 987
  • Palindromes (like 121, 232) reverse to themselves
  • For numbers ending with zero: 120 reversed = 21 (leading zero dropped)
  • Two-digit numbers: 73 reversed = 37
  • Three-digit numbers: 504 reversed = 405
  • Variations: reverse(A) + A, reverse(A) - A, reverse(A + k)

Shortcut Methods to Solve Faster

Reverse of A = int(str(A)[::-1])
If A:B with B = reverse(A), then answer = reverse(C)
For two-digit numbers: reverse(10a+b) = 10b+a
For three-digit numbers: reverse(100a+10b+c) = 100c+10b+a

Common Mistakes to Avoid

Not dropping leading zeros (e.g., 120 reversed = 21, not 021)
Confusing reverse with palindrome (reverse of palindrome is same number)
Forgetting to apply additional operations (like addition after reversal)
Reversing digits incorrectly (order matters)

Exam Importance

Reverse Number 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 Reverse Number 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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