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

Introduction / Context:
This final question in the set asks you to determine which word cannot be formed from the letters of LATCHING. It is another letter formation problem that tests your ability to track the presence or absence of particular letters. The correct option either introduces a letter that does not occur in LATCHING or uses some letter more frequently than LATCHING allows.

Given Data / Assumptions:

• Base word: LATCHING.
• Letters and frequencies: L(1), A(1), T(1), C(1), H(1), I(1), N(1), G(1).
• Options: THING, CHAIN, CHEAT, CLING.
• Assumption: Only the letters from LATCHING may be used, and each may be used at most once, because each letter appears once in the base word.

Concept / Approach:
The strategy is to list the letters in LATCHING and then evaluate each option. If an option uses a letter that is missing from LATCHING, it is immediately invalid. If an option repeats a letter that appears only once in the base word, that may also make it invalid, depending on counts. One and only one option here fails the requirement of using only letters from LATCHING, and that word is the answer.

Step-by-Step Solution:
Step 1: Note the letters in LATCHING: L, A, T, C, H, I, N, G.Step 2: Check THING: letters T, H, I, N, G. All are present in LATCHING and each appears only once, so THING can be formed.Step 3: Check CHAIN: letters C, H, A, I, N. These all appear in the base word and are not repeated beyond available counts, so CHAIN can be formed.Step 4: Check CLING: letters C, L, I, N, G. All these letters come from LATCHING and are used once each, so CLING can be formed.Step 5: Check CHEAT: letters C, H, E, A, T. While C, H, A, and T appear in LATCHING, the letter E does not. Thus CHEAT cannot be formed from LATCHING.

Verification / Alternative check:

Why Other Options Are Wrong:
THING is not the correct answer because all of its letters are present in LATCHING and are used once each.CHAIN is not the correct answer as C, H, A, I, and N all occur in the base word and are used with correct frequency.CLING is not the correct answer because C, L, I, N, and G all come directly from the letters of LATCHING.

Common Pitfalls:
Some examinees may focus on the meaning of the words or their length instead of strictly analysing the letters. Others may glance at CHEAT and assume it is valid because four out of five letters match quickly, missing the absence of E from LATCHING. To avoid such mistakes, always check every letter of each option against the base word and confirm that no new letters are introduced.

Final Answer:
The word that cannot be formed using the letters of LATCHING is CHEAT.