In the following question, from the given alternative words, select the word which cannot be formed by using the letters of the word PASSENGER.

Introduction / Context:
This word formation question asks which option cannot be formed from the letters of the word PASSENGER. The candidate must pay close attention to the available letters and their counts, and then see which option violates these constraints. This type of question is a direct test of accuracy and careful observation in verbal reasoning.

Given Data / Assumptions:
- Base word: PASSENGER.
- Letters present: P, A, S, S, E, N, G, E, R.
- Frequency counts: P(1), A(1), S(2), E(2), N(1), G(1), R(1).
- Each letter in an option can be used at most as many times as it appears in PASSENGER.
- No new letters are permitted.

Concept / Approach:
We calculate the available letter frequencies from the base word and then compare them with each option. If any option needs a letter that is not present in PASSENGER or needs more copies of a letter than available, that option cannot be formed. Otherwise, it is a valid construction. The option that breaks the rules is the required answer in this negative question.

Step-by-Step Solution:
Step 1: Confirm letter counts for PASSENGER: P(1), A(1), S(2), E(2), N(1), G(1), R(1). Step 2: Option Anger uses A, N, G, E, R. Required counts are A(1), N(1), G(1), E(1), R(1), all of which are available, so Anger can be formed. Step 3: Option Pass uses P, A, S, S. These require P(1), A(1), S(2) which match exactly with the base frequencies, so Pass can be formed. Step 4: Option Page uses P, A, G, E. Requirements are P(1), A(1), G(1), E(1), all present in PASSENGER, so Page can be formed. Step 5: Option SAGE uses S, A, G, E. Requirements are S(1), A(1), G(1), E(1), which are within available counts, so SAGE can be formed. Step 6: Option Pain uses P, A, I, N. This requires the letter I. Step 7: The base word PASSENGER does not contain any letter I, so Pain cannot be formed using these letters.

Verification / Alternative check:
A practical verification is to cross off letters of PASSENGER as you use them to spell each option. For Anger, Pass, Page and SAGE you will be able to cross off matching letters without needing anything new. For Pain, you will search for I in PASSENGER and find that it is absent, confirming that this option is impossible. This cross check supports the earlier frequency based reasoning.

Why Other Options Are Wrong:
Option A (Anger), option B (Pass), option C (Page) and option E (SAGE) are all feasible words that can be assembled from the letters of PASSENGER. Since the question specifically asks for the word that cannot be formed, these options are wrong in the sense that they do not satisfy the problem requirement. Only option D violates the letter availability condition by using I, which the base word does not have.

Common Pitfalls:
The common error is to look only for matching letters visually and overlook subtle differences such as I versus E. Another mistake is to assume that any common word like Pain must be possible, without verifying the full set of letters. To avoid these pitfalls, always list the base word letters, check for missing letters in each option, and make sure the required frequencies are not higher than available counts.

Final Answer:
The word that cannot be formed from the letters of PASSENGER is Pain.