In this word to number coding analogy, “ACOUSTIC is coded as 91, so RENOUNCE is coded as ______”. Choose the number that follows the same letter position sum rule used in the example.

Introduction / Context:
This question uses a coding scheme that converts words into numbers based on the positions of their letters in the English alphabet. The word “ACOUSTIC” is coded as 91, and we must determine the code for the word “RENOUNCE”. To solve it, we need to identify the rule that turns ACOUSTIC into 91. A common pattern is to sum the alphabetical positions of all letters. If that rule works for the example, we then apply the same process to RENOUNCE.

Given Data / Assumptions:

• Code given: ACOUSTIC → 91. • Target: RENOUNCE → ? • Options: 95, 99, 105, 109. • Alphabet positions: A = 1, B = 2, ..., Z = 26.

Concept / Approach:
We test the hypothesis that the code equals the sum of letter positions. If adding the positions of all letters in ACOUSTIC gives 91, that strongly suggests the coding rule. We then perform the same sum for RENOUNCE and see which option matches the result. This method is straightforward and widely used in coding questions in aptitude exams.

Step-by-Step Solution:
Step 1: Write positions of letters for ACOUSTIC. A = 1, C = 3, O = 15, U = 21, S = 19, T = 20, I = 9, C = 3. Step 2: Compute the sum. 1 + 3 + 15 + 21 + 19 + 20 + 9 + 3 = 91. This matches the given code, confirming that the rule is sum of letter positions. Step 3: Apply the same rule to RENOUNCE. Write the letter positions: R = 18, E = 5, N = 14, O = 15, U = 21, N = 14, C = 3, E = 5. Step 4: Add them up. 18 + 5 = 23. 23 + 14 = 37. 37 + 15 = 52. 52 + 21 = 73. 73 + 14 = 87. 87 + 3 = 90. 90 + 5 = 95. Step 5: Therefore, the code for RENOUNCE is 95.

Verification / Alternative check:
We can quickly check that none of the other options fits another simple pattern like doubling or adding a fixed constant to 91. The most systematic and repeatable rule is the sum of letter positions, which not only reproduces the given result for ACOUSTIC but also yields an exact match to one of the answer choices for RENOUNCE. This makes 95 the uniquely reasonable answer.

Why Other Options Are Wrong:
• 99, 105, 109: These do not equal the sum of the alphabet positions of RENOUNCE and hence do not follow the established rule. Choosing them would require mixing rules, which is not valid in a coding analogy.

Common Pitfalls:
Some candidates may try to relate 91 and 95 directly without examining the underlying word structure, or they may guess based on approximate values. The safest approach is always to identify the explicit rule used in the example and then apply it exactly to the new word. Doing the addition carefully leads directly to 95.

Final Answer:
Using the same coding rule, the word RENOUNCE is coded as 95.