Symbolic Language - Using Numbers for Numbers
Introduction
In this coding format, numbers are replaced by other numbers. This often involves a mathematical rule or a direct substitution pattern.
Explanation Step by Step
Compare the original number with its code. Look for patterns like addition, subtraction, reversal of digits, or direct mapping of one digit to another.
Sub-topics
Number to Number Coding
This involves substituting digits with other digits based on a specific logic or comparison.
Examples
Example 1
If 456 is coded as 789 and 451 is coded as 782, find the code for 4 and 5.
The common digits are 45, and the common code digits are 78.
Answer: 4 = 7, 5 = 8
Tricks and Shortcuts
* Check if the digits are just shifted in position.
* Check if a constant number is added to each digit.
Common Mistakes
Do not assume it is always a simple replacement; always check if there is a calculation (like multiplication) involved.
Practice Questions
Easy Questions
- If 10 = 11 and 20 = 21, then what is 30?
- If 123 = 234, what is the code for 456?
- If 5 = 50 and 6 = 60, what is 7?
Medium Questions
- If 11 = 121 and 12 = 144, what is the code for 10?
- If 84 = 48 and 92 = 29, what is the code for 73?
- If 121 = 4 (sum of digits) and 232 = 7, what is 411?
Hard Questions
- If 1234 = 4321 and 5678 = 8765, find the code for 1357.
- If 2 = 4, 3 = 9, 4 = 16, what is the code for 5?
- If 99 = 18 and 88 = 16, what is the code for 77?
Revision Summary
Analyze the shift between original numbers and their codes to find the underlying logic.