Two-Digit Number

Two-Digit Number problems involve finding the water image of a two-digit number. The water image requires reversing the order of digits AND transforming each digit individually (6↔9, while 0,1,8 remain same). These problems test your ability to apply water image rules to numeric sequences.

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200+Practice Questions
IntermediateDifficulty
2-3 hoursHours to Master

Introduction to Two-Digit Number

Two-Digit Number problems involve finding the water image of a two-digit number. The water image requires reversing the order of digits AND transforming each digit individually (6↔9, while 0,1,8 remain same). These problems test your ability to apply water image rules to numeric sequences.

Prerequisites

Single digit water images Understanding of order reversal in water images 6↔9 transformation knowledge
Why This Matters: Two-Digit Number problems appear in 1-2 questions in SSC CGL and Banking exams. They test numeric water image reasoning.

How to Solve Two-Digit Number Problems

1

Step 1: Write the given two-digit number

2

Step 2: Reverse the order of the digits (tens digit becomes ones, ones becomes tens)

3

Step 3: For each digit in the reversed number, find its water image

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Step 4: Apply digit water image rules (0,1,8 remain same; 6↔9)

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Step 5: Combine the transformed digits in order

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Step 6: This combined number is the water image

Pro Strategy: Remember that water image of a number requires both reversal of digits and individual digit transformation. Reverse first, then transform each digit.

Example Problem

Example: Find the water image of 69. Solution: Step 1: Given number: 69 Step 2: Reverse order: 96 Step 3: Water image of 9 = 6 Step 4: Water image of 6 = 9 Step 5: Combine: 6 9 = 69 Step 6: Water image of 69 is 69 Answer: 69

Pro Tips & Tricks

  • Always reverse the digit order first
  • Then apply individual digit water image rules
  • Digits 0,1,8 remain same
  • Digits 6 and 9 swap
  • The water image of '69' is '69' (a palindrome in water image)
  • The water image of '18' is '81' (since 1→1, 8→8, reversed gives 81)

Shortcut Methods to Solve Faster

Water image of number = reverse(number) with each digit transformed
For digits 0,1,8: water image = reverse(number)
For digits 6/9: water image = reverse(number) with 6↔9 swapped
If number reads same when reversed and digits transformed, it's a water image palindrome

Common Mistakes to Avoid

Forgetting to reverse the digit order
Transforming digits before reversing
Thinking 6 remains 6 (it becomes 9)
Not handling the reversal correctly for numbers ending with 0

Exam Importance

Two-Digit Number 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
INSURANCE
1-2 questions

Ready to Master Two-Digit Number?

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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