Decoding Symbols: Finding the Meaning of \( \ast \ast \ast \)

This problem is a classic example of symbol substitution or coding-decoding where we need to find the meaning of symbols based on given coded phrases and their corresponding plain language meanings.

We are given the following information:

• \( \ast ( ) \) stands for ‘bread butter cake’
• \( & ! \ast \) stands for ‘cake and cutter’
• \( ) ( ! \) stands for ‘bread and butter’

We need to find what \( \ast \ast \ast \) stands for.

Step-by-Step Symbol Decoding

Let's compare the given statements to find common symbols and words.

Comparing Statement 1 and Statement 2:

• Statement 1: \( \ast ( ) \) = bread butter cake
• Statement 2: \( & ! \ast \) = cake and cutter

The common word in both statements is 'cake'.

The common symbol in both statements is \( \ast \).

Therefore, the symbol \( \ast \) stands for 'cake'.

Comparing Statement 1 and Statement 3:

• Statement 1: \( \ast ( ) \) = bread butter cake
• Statement 3: \( ) ( ! \) = bread and butter

From Statement 1, we know \( \ast \) is 'cake'. So, the symbols \( ( ) \) together must stand for 'bread butter'.

Comparing \( ( ) \) = bread butter with Statement 3 \( ) ( ! \) = bread and butter:

• The symbols \( ( \) and \( ) \) appear in both the remaining part of Statement 1 and in Statement 3, corresponding to 'bread' and 'butter'.
• The extra symbol in Statement 3 is \( ! \).
• The extra word in Statement 3 is 'and'.

Therefore, the symbol \( ! \) stands for 'and'.

Comparing Statement 2 with decoded symbols:

• Statement 2: \( & ! \ast \) = cake and cutter
• We know \( \ast \) = cake and \( ! \) = and.
• Substituting these into Statement 2: \( & \) and cake = cake and cutter.

This confirms our decoding and shows that the symbol \( & \) stands for 'cutter'.

Summary of Decoded Symbols

Finding the Meaning of \( \ast \ast \ast \)

We are asked to find what \( \ast \ast \ast \) stands for.

From our decoding, we found that the symbol \( \ast \) stands for 'cake'.

Therefore, \( \ast \ast \ast \) stands for 'cake cake cake'.

Revision Table: Coding and Decoding Techniques

Additional Information: Tips for Symbol Substitution Problems

Symbol substitution problems are common in logical reasoning and aptitude tests. Here's how to approach them effectively:

• List the Given Information: Clearly write down each coded phrase and its corresponding meaning.
• Look for Common Elements: Start by comparing any two phrases. See if they share any symbols or words.
• Deduce Step-by-Step: Each common element you identify helps you decode a symbol or word. Use this new information to decode other parts of the phrases.
• Be Patient: Some symbols might require comparing multiple statements to deduce their meaning.
• Verify Your Decoding: Once you think you've decoded all or most symbols, check if they fit consistently into all the given statements.