From the letters of the word “Threatened”, you can form several meaningful English words. From the options below, select the word which cannot be formed using only the letters of “Threatened” without repetition.

Introduction / Context:
This verbal reasoning question tests letter-count and word-formation skills. You are given a base word and must decide which of the given options cannot be constructed from its letters, assuming each letter of the base word may be used at most as many times as it appears there.

Given Data / Assumptions:

• Base word: Threatened.
• Letters in “Threatened”: T, H, R, E, A, T, E, N, E, D.
• Letter counts:
  • T: 2
  • H: 1
  • R: 1
  • E: 3
  • A: 1
  • N: 1
  • D: 1
• We must check which option word cannot be formed using these letters without exceeding any letter's available count.

Concept / Approach:
For each candidate word, we:

• Write down its letters and their counts.
• Compare those counts with the available counts in “Threatened”.
• If every required count is less than or equal to the count in the base word, the word can be formed; otherwise, it cannot.

Step-by-Step Solution:
Step 1: Option “Heart”. Letters: H, E, A, R, T. Counts needed: H(1), E(1), A(1), R(1), T(1). All of these are available in “Threatened” within the limits (H1, E3, A1, R1, T2). So “Heart” can be formed. Step 2: Option “Detain”. Letters: D, E, T, A, I, N. Counts needed: D(1), E(1), T(1), A(1), I(1), N(1). The only problematic letter is I; the base word “Threatened” does not contain the letter I at all. Step 3: Therefore, “Detain” cannot be formed because it requires a letter that is not present in “Threatened”. Step 4: Option “Treat”. Letters: T, R, E, A, T. Counts needed: T(2), R(1), E(1), A(1). These fit within the available counts: T2, R1, E3, A1. So “Treat” can be formed. Step 5: Option “Heated”. Letters: H, E, A, T, E, D. Counts needed: H(1), E(2), A(1), T(1), D(1). All of these are available: H1, E3, A1, T2, D1. So “Heated” can also be formed. Step 6: Option “Threat”. Letters: T, H, R, E, A, T. Counts: T(2), H(1), R(1), E(1), A(1). All within the available counts of the base word. So “Threat” can be formed.
Verification / Alternative check:
We can list all letters of “Threatened” and cross them off as we form each candidate word. For “Detain”, we can cross off D, E, T, A and N, but when we reach I, we see that I is missing from the base word, confirming that “Detain” is impossible to construct.

Why Other Options Are Wrong:
Heart, Treat, Heated, Threat: Each of these words uses only letters that appear in “Threatened” and does not exceed any letter's available count. Therefore, they all can be formed and do not answer the question.
Common Pitfalls:
Students sometimes overlook the need to check for repeated letters, assuming that if the letters appear at least once, the word is always possible. It is important to count how many times each letter is used in the candidate word and compare that against its frequency in the base word. Another mistake is reading too quickly and missing a letter like I, which does not occur in the base word at all.

Final Answer:
The word that cannot be formed using the letters of “Threatened” is Detain.