Difficulty: Medium
Correct Answer: 56
Explanation:
Introduction / Context:
This question hides the coding rule inside two short examples, GO = 32 and SHE = 49, and then asks us to calculate the code for SOME. The pattern is numerical but is driven by letter positions in the alphabet. The question belongs to the coding–decoding section of verbal reasoning and checks whether you can detect an indirect rule based on alphabet positions when they are transformed in a slightly unusual way.
Given Data / Assumptions:
Concept / Approach:
The key observation is that direct alphabet positions do not give 32 for GO or 49 for SHE if we simply add or multiply. Instead, the pattern works with reversed alphabet positions. For this, A is treated as 26, B as 25, C as 24 and so on down to Z as 1. Once we convert each letter into this reversed position, we add the values for all letters in a word to obtain the final code number.
Step-by-Step Solution:
Step 1: Compute reversed positions: for any letter L with normal position p, its reversed position is 27 - p.
Step 2: For GO: G has normal position 7, so reversed position is 27 - 7 = 20. O has normal position 15, so reversed position is 27 - 15 = 12. Sum = 20 + 12 = 32, which matches the given code for GO.
Step 3: For SHE: S has position 19, so reversed is 27 - 19 = 8. H has position 8, reversed is 19. E has position 5, reversed is 22. Sum = 8 + 19 + 22 = 49, confirming the rule for SHE.
Step 4: Now apply the same rule to SOME. Normal positions: S = 19, O = 15, M = 13, E = 5.
Step 5: Reversed positions: S -> 8, O -> 12, M -> 14, E -> 22. Sum = 8 + 12 + 14 + 22 = 56.
Verification / Alternative check:
We can re-add 8 + 12 + 14 + 22 to ensure there is no calculation mistake. The sum is 56, and it is consistent with the same rule that works perfectly for both GO and SHE. Therefore the code for SOME must be 56, and no other option can match the derived rule without contradicting the given examples.
Why Other Options Are Wrong:
Option B: 58 would require the total reversed sum of SOME to be 58, which it is not.
Option C: 62 is larger than the actual computed sum and does not arise from any correct use of letter positions.
Option D: 64 again does not match the confirmed calculation.
Option E: 52 is too small compared to the true sum of 56.
Common Pitfalls:
Many students first try simple patterns like adding normal alphabet positions or counting letters and squaring the count, which do not work here. Others may miscalculate the reversed positions or forget to apply the same method consistently to all letters. Writing down the positions systematically prevents arithmetic errors and helps confirm the pattern using both given examples before applying it to SOME.
Final Answer:
The code corresponding to SOME in this language is 56.
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