Symbolic Language - Use of Symbols for Numbers
Introduction
In this type of coding, numbers are assigned to symbols. Decoding requires finding the numerical value of each symbol by comparing different sets.
Explanation Step by Step
Identify common symbols across different groups and match them with common digits in the given numbers to find the code key.
Sub-topics
Substituting Symbols with Numbers
This process maps abstract visual symbols to concrete digits for logical problem solving.
Examples
Example 1
If '★ ●' = 45 and '★ ▲' = 46, what is the number for '●'?
'★' is common in both, and '4' is common in both codes. Thus, '★' = 4. '●' corresponds to the remaining digit '5'.
Answer = 5
Tricks and Shortcuts
* Cross-reference the most frequent symbol to identify its number quickly.
* Use a simple table to keep track of symbol-to-number mappings.
Common Mistakes
Confusing symbols that look similar (e.g., ◯ and ⬣). Always ensure the order of symbols isn't assumed to be identical to the digit order.
Practice Questions
Easy Questions
- If '✚' = 1 and '✖' = 2, what number represents '✚ ✖'?
- If '◆ ◆' = 88, find the digit for '◆'.
- If '♠ ♣' = 34 and '♠ ♥' = 35, which digit represents '♠'?
Medium Questions
- If '△ ◯ ▢' = 123 and '▢ ◯ △' = 321, find the digit for '◯'.
- If '☀ ☁ ★' = 708 and '★ ☁ ☀' = 807, which digit represents '☁'?
- If '◬ ◭' = 59 and '◮ ◬' = 15, find the digit for '◬'.
Hard Questions
- If '⚛ ☯ ☊' = 678, '☯ ☊ ⚛' = 786, and '☊ ⚛ ☯' = 867, what is the value of '⚛'?
- If '☾ + ☾' = 10 and '☾ + ★' = 8, what is the value of '★'?
- If '☗ ☖' = 12 and '☖ ☗' = 21, then what does '☗ ☗' represent?
Revision Summary
Matching common elements is the most reliable strategy to convert symbols back into numbers.