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

Introduction / Context:
This word formation question is based on the word RECIPROCATE. The task is to select the option that cannot be formed by rearranging and possibly reusing letters from this base word, subject to frequency limits. Such problems require a mixture of pattern recognition and careful counting, because an attractive looking option may still be invalid if it requires a letter that the base word does not contain or if it uses some letter more times than available.

Given Data / Assumptions:
- Base word: RECIPROCATE.
- Letters present: R, E, C, I, P, R, O, C, A, T, E.
- Frequency counts: R(2), E(2), C(2), I(1), P(1), O(1), A(1), T(1).
- Each letter in any option can be used at most as many times as it appears in RECIPROCATE.
- No new letters beyond these may be introduced.

Concept / Approach:
The general method is to compute the multiset of letters in the base word and match that against each option. If an option demands a letter not present at all, it is impossible. If an option requires more copies of a letter than available, that option is also invalid. Words that satisfy all frequency constraints are possible anagrams or subwords and therefore can be formed. The one that violates constraints is the required answer.

Step-by-Step Solution:
Step 1: Confirm the letter frequency for RECIPROCATE: R(2), E(2), C(2), I(1), P(1), O(1), A(1), T(1). Step 2: Option RACE uses R, A, C, E. Required counts are R(1), A(1), C(1), E(1). All are within available limits, so RACE can be formed. Step 3: Option REPEAT uses R, E, P, E, A, T. Required counts are R(1), E(2), P(1), A(1), T(1). These match the available counts, so REPEAT can be formed. Step 4: Option TEAR uses T, E, A, R. Required counts are T(1), E(1), A(1), R(1). These are available, so TEAR can be formed. Step 5: Option COAT uses C, O, A, T. Required counts are C(1), O(1), A(1), T(1). The base word provides these letters, so COAT can be formed. Step 6: Option PROCEED uses P, R, O, C, E, E, D. Required counts are P(1), R(1), O(1), C(1), E(2), D(1). Step 7: The base word RECIPROCATE contains no letter D, so the requirement for D(1) in PROCEED cannot be satisfied. Step 8: Because PROCEED uses a letter that is absent from the base word, it cannot be formed.

Verification / Alternative check:
A quick verification technique is to scan RECIPROCATE visually and attempt to spell each option. For RACE, REPEAT, TEAR and COAT you will find every required letter present and not overused. For PROCEED, however, you will search RECIPROCATE for letter D and fail to find it. This absence confirms that PROCEED cannot be assembled from the letters of the base word, matching the earlier frequency based reasoning.

Why Other Options Are Wrong:
Option B (RACE) is formable and therefore not the required answer. Option C (REPEAT) also uses only letters present with valid counts. Option D (TEAR) and option E (COAT) both satisfy the frequency constraints of the base word. Since the question asks for the word that cannot be formed, these options are wrong in the sense that they are actually possible. Only option A violates the letter availability condition and so is the correct choice for this negative question.

Common Pitfalls:
Candidates often rush and look only for presence, not for absence, of letters. It is common to read PROCEED and notice P, R, O, C, E and ignore the final D. Another pitfall is misremembering the base word and assuming it contains a letter that is actually missing. To reduce errors, always double check suspicious letters like D, K, or other less frequent letters, and quickly scan the base word for them. Building a small frequency table as done above is a reliable strategy during practice and in exams.

Final Answer:
The word that cannot be formed from the letters of RECIPROCATE is PROCEED.