Dictionary Ordering Logic

This question requires us to arrange a list of English words in the order they would appear in a standard English dictionary. Dictionary order, also known as alphabetical order, is determined by comparing words letter by letter from left to right.

Step 1: Initial Letter Comparison

All the given words start with the letter 'P'.

• Painter
• Pace
• Pair
• Package
• Paragraph

Step 2: Second Letter Comparison

The second letter for all words is 'a'. So, we move to the third letter.

Step 3: Third Letter Comparison

We compare the third letters of the words:

• Pace (c)
• Package (c)
• Pair (i)
• Painter (i)
• Paragraph (r)

Based on alphabetical order, 'c' comes before 'i', and 'i' comes before 'r'. Therefore, the words starting with 'Pac...' will come first, followed by words starting with 'Pai...', and finally the word starting with 'Par...'.

Step 4: Comparing Words Starting with 'Pac...'

We need to order 'Pace' and 'Package'. We look at the fourth letter:

• Pace (ce)
• Package (ck)

Since 'e' comes before 'k' in the alphabet, 'Pace' comes before 'Package'.

Order so far: Pace, Package

Step 5: Comparing Words Starting with 'Pai...'

Next, we order 'Pair' and 'Painter'. We look at the fourth letter:

• Pair (ir)
• Painter (in)

Since 'n' comes before 'r' in the alphabet, 'Painter' comes before 'Pair'.

Order so far: Pace, Package, Painter, Pair

Step 6: Final Word Comparison

The last word is 'Paragraph', which starts with 'Par...'. As established in Step 3, 'r' comes after 'c' and 'i', so 'Paragraph' will be the last word in the sequence.

Final Correct Order

Combining all the comparisons, the correct alphabetical order of the words is:

1. Pace (Word #2)
2. Package (Word #4)
3. Painter (Word #1)
4. Pair (Word #3)
5. Paragraph (Word #5)

Therefore, the correct sequence is 2, 4, 1, 3, 5.