Decoding the Coding Language

The problem presents a simple substitution cipher where words are replaced by single letters. We need to decode the words based on the given examples.

Step 1: Analyze the Given Codes

• 'Pen And Pencil' is coded as 'g c e'
• 'Pencil And Paper' is coded as 'e c p'
• 'Pen Or Work' is coded as 'g l k'

Step 2: Identify Common Words and Codes

Compare the first two phrases:

• 'Pen And Pencil' = 'g c e'
• 'Pencil And Paper' = 'e c p'

The common words are 'And' and 'Pencil'. The common codes are 'c' and 'e'.

Compare the first and third phrases:

• 'Pen And Pencil' = 'g c e'
• 'Pen Or Work' = 'g l k'

The common word is 'Pen'. The common code is 'g'. Therefore, 'Pen' is coded as 'g'.

Step 3: Deduce Codes for Other Words

Since 'Pen' = 'g', we can deduce the codes for 'And' and 'Pencil' from the first two phrases:

• From 'Pen And Pencil' = 'g c e', and 'Pen' = 'g', it implies 'And Pencil' corresponds to 'c e'.
• From 'Pencil And Paper' = 'e c p', the codes 'e' and 'c' must represent 'Pencil' and 'And'.

By comparing the common elements in 'g c e' and 'e c p' after removing 'g' for 'Pen', we can deduce:

• 'And' = 'c'
• 'Pencil' = 'e'

Now look at the third phrase 'Pen Or Work' = 'g l k'. Since 'Pen' = 'g', we get:

• 'Or' = 'l'
• 'Work' = 'k'

Summary of codes:

• Pen = g
• And = c
• Pencil = e
• Or = l
• Work = k

Step 4: Encode the Target Phrase

The phrase to be coded is 'Pen Or Pencil and Work'. Using the deduced codes:

• Pen = g
• Or = l
• Pencil = e
• And = c
• Work = k

Combining these codes gives: 'g l e c k'.

Step 5: Match with Options

The code 'g l e c k' matches Option 2.