Understanding Dictionary Order Arrangement

Arranging words in the order they appear in an English dictionary means listing them alphabetically. We compare the words letter by letter from left to right. If the first letters are the same, we look at the second letter, and so on.

Words to Arrange

Here are the words given with their original numbering:

1. Rapid
2. Ranger
3. Ransack
4. Randomization
5. Reality

Step-by-Step Dictionary Ordering

Let's compare the words letter by letter:

• All words start with 'R'. So, we look at the second letter.
• The second letters are: 'a' (for Rapid, Ranger, Ransack, Randomization) and 'e' (for Reality).
• Since 'a' comes before 'e' in the alphabet, words starting with 'Ra' will come before 'Reality'. 'Reality' (5) will be the last word.

Now let's compare the words starting with 'Ra': Rapid (1), Ranger (2), Ransack (3), Randomization (4).

• The third letters are: 'p' (Rapid), 'n' (Ranger), 'n' (Ransack), 'n' (Randomization).
• Since 'n' comes before 'p', the words Ranger, Ransack, and Randomization will come before Rapid. 'Rapid' (1) will be the last among the 'Ra' words.

Now let's compare the words starting with 'Ran': Ranger (2), Ransack (3), Randomization (4).

• The fourth letters are: 'g' (Ranger), 's' (Ransack), 'd' (Randomization).
• Comparing 'g', 's', and 'd', 'd' comes first, then 'g', then 's'.
• So, the order for these words is: Randomization (4), then Ranger (2), then Ransack (3).

Final Dictionary Order

Combining the results:

1. First come the 'Ran' words in order: Randomization (4), Ranger (2), Ransack (3).
2. Next comes the 'Rap' word: Rapid (1).
3. Finally, comes the 'Re' word: Reality (5).

The words arranged in dictionary order are:

1. Randomization (4)
2. Ranger (2)
3. Ransack (3)
4. Rapid (1)
5. Reality (5)

The sequence of their original numbers is 4, 2, 3, 1, 5.

Checking the Options

Let's compare our derived sequence with the given options:

The sequence 4, 2, 3, 1, 5 matches Option 2.