What's the best way to master Three Digit Number Water Image Problems quickly?

Master Three Digit Number Water Image Problems by understanding the core concepts first, practicing regularly with our worksheets, and applying the shortcut techniques provided.

Three-Digit Number

Three-Digit Number problems involve finding the water image of three-digit numbers. The water image requires reversing the order of digits (1st↔3rd, 2nd stays) AND transforming each digit individually (6↔9, while 0,1,8 remain same).

10Worksheets

200+Practice Questions

AdvancedDifficulty

2-3 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 Three-Digit Number

Prerequisites

Single digit water images Two-digit number water images Digit reversal concept

Why This Matters: Three-Digit Number problems appear in 1-2 questions in advanced SSC CGL and Banking exams. They test numeric water image reasoning for longer numbers.

How to Solve Three-Digit Number Problems

Step 1: Write the given three-digit number

Step 2: Reverse the order of the digits (1st↔3rd, 2nd stays)

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

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

Step 5: Combine the transformed digits in order

Step 6: This three-digit number is the water image

Pro Strategy: Reverse the digit order first, then transform each digit. The middle digit stays in the middle position after reversal but may transform (if it's 6 or 9).

Example Problem

Example: Find the water image of 618. Solution: Step 1: Given number: 6 1 8 Step 2: Reverse order: 8 1 6 Step 3: Water image of 8 = 8 Step 4: Water image of 1 = 1 Step 5: Water image of 6 = 9 Step 6: Combine: 8 1 9 = 819 Step 7: Water image of 618 is 819 Answer: 819

Pro Tips & Tricks

Always reverse the digit order first
The middle digit stays in middle position after reversal
Digits 0,1,8 remain same in water image
Digits 6 and 9 swap places
The water image of 101 is 101 (palindrome with symmetrical digits)
The water image of 609 is 809 (reverse: 906, then 9→6,0→0,6→9 = 609? Actually 609 reverse is 906, then 9→6,0→0,6→9 = 609) so 609 is a water image palindrome

Shortcut Methods to Solve Faster

Water image = reverse(number) with each digit transformed

For digits 0,1,8 only: water image = reverse(number)

For 6/9: swap in reversed number

The middle digit's position stays the same but may transform

Water image of palindrome with symmetrical digits = transform each digit (no order change)

Common Mistakes to Avoid

Forgetting to reverse the digit order

Only transforming digits without reversing

Thinking 6 remains 6 (it becomes 9)

Not handling the middle digit correctly

Practice Worksheets

Practice makes perfect! Work through these worksheets to master Three-Digit Number. Each worksheet contains 20 questions with detailed explanations. Start from Worksheet 1 and progress through increasing difficulty levels.

Worksheet 1 Beginner Beginner level - Perfect for building foundational understanding

Worksheet 2 Beginner Beginner level - Perfect for building foundational understanding

Worksheet 3 Beginner Beginner level - Perfect for building foundational understanding

Worksheet 4 Intermediate Intermediate level - Test your understanding with moderate difficulty

Worksheet 5 Intermediate Intermediate level - Test your understanding with moderate difficulty

Worksheet 6 Intermediate Intermediate level - Test your understanding with moderate difficulty

Worksheet 7 Advanced Advanced level - Challenge yourself with complex problems

Worksheet 8 Advanced Advanced level - Challenge yourself with complex problems

Worksheet 9 Advanced Advanced level - Challenge yourself with complex problems

Worksheet 10 Advanced Advanced level - Challenge yourself with complex problems