Correct Answer: 5, 4, 1, 2, 3

Solution : Given:
1. Appear 2. Approach 3. Approximate 4. Apparition 5. Apparel

Step 1: Compare the first, second, and third letters of each word. Since all the words start with the same letter A and P, we move on to the next letter.
Step 2: The fourth letter of each word is: a, e, r. Based on the alphabetical order of these letters, we can arrange them: Apparel, Apparition, Appear, Approach, Approximate
Step 3: Compare the sixth letter of (Apparel, Apparition). Apparel will come before Apparition in the sequence as e comes before i in the alphabetical system.
Step 4: Compare the letter of (Approach, Approximate). The approach will come before Approximate in the sequence as a comes before x in the alphabetical system.

So, the sequence is Apparel, Apparition, Appear, Approach, Approximate, or 5, 4, 1, 2, 3 Hence, the third option is correct.