From the given alternative words, select the single word that cannot be formed using the letters of the word DYNAMITE.

Introduction / Context:
This word formation question asks you to determine which of the given words cannot be formed using the letters of the base word DYNAMITE. These questions test careful attention to each individual letter and to the number of times each letter appears. The correct answer will either require a missing letter or need some letter more times than it appears in DYNAMITE.

Given Data / Assumptions:

• Base word: DYNAMITE.
• Letters and approximate frequencies: D(1), Y(1), N(1), A(1), M(1), I(1), T(1), E(1).
• Option A: ENMITY.
• Option B: ANYTIME.
• Option C: NAMES.
• Option D: DAINTY.
• Assumption: Only letters from DYNAMITE can be used, and each letter can be used at most once because it appears only once in the base word.

Concept / Approach:
Because DYNAMITE uses each of its letters only once, any option that repeats a letter must be examined carefully. The core method is to compare each option with the base word and check whether every letter appears and whether any letter is repeated beyond what the base word allows. If any letter is missing or used too many times, that option cannot be formed and becomes the correct answer.

Step-by-Step Solution:
Step 1: List available letters in DYNAMITE: D, Y, N, A, M, I, T, E, each with frequency 1.Step 2: Check ENMITY: letters E, N, M, I, T, Y. All these letters appear in DYNAMITE, and none is repeated. So ENMITY can be formed.Step 3: Check ANYTIME: letters A, N, Y, T, I, M, E. All letters are present in DYNAMITE with the same single occurrence, and no letter is used twice. So ANYTIME can be formed.Step 4: Check DAINTY: letters D, A, I, N, T, Y. Each of these letters also appears exactly once in DYNAMITE, so DAINTY can be formed.Step 5: Check NAMES: letters N, A, M, E, S. DYNAMITE does not contain the letter S at all. Therefore NAMES cannot be formed.

Verification / Alternative check:

Why Other Options Are Wrong:
ENMITY is not the correct answer because every letter in ENMITY is present in DYNAMITE and each is used only once.ANYTIME is not the correct answer since A, N, Y, T, I, M, and E are all letters in the base word and are used with the correct frequency.DAINTY is not the correct answer because D, A, I, N, T, and Y are all contained in DYNAMITE, again without repetition beyond what is available.

Common Pitfalls:
Candidates often misjudge these questions by focusing only on a subset of letters or by assuming that an apparently complex option like ANYTIME cannot be formed. The real difficulty is in detecting a single missing letter, such as S in NAMES. To avoid mistakes, always list the base letters and compare each letter of every option against this list in a systematic manner.

Final Answer:
The word that cannot be formed using the letters of DYNAMITE is NAMES.