In a language laboratory, students were given an interesting puzzle involving the word “ELECTROCARDIOGRAPH.” The teacher explained that such exercises not only test logical skills but also sharpen attention to detail. According to the challenge, the word had to undergo a series of transformations. First, the class was asked to take the first half of the letters, reverse their order and make the arrangement of letters look quite different from the original. Next, the students were told to identify the last but one letter of the original word and place it at the very beginning, a step that changed the opening appearance of the sequence completely. Finally, as a finishing touch, they had to add the letter ‘S’ at the end. Following these steps carefully would lead them to the correct transformed word, and only those who adhered to each condition in the exact order could solve the puzzle successfully. (150 words)
This puzzle involves transforming the word "ELECTROCARDIOGRAPH" through a series of specific steps to determine which pair of vowels becomes adjacent in the final sequence. Let's break down the transformation process step by step.
The original word is ELECTROCARDIOGRAPH. It contains $N=17$ letters.
The letters are: E, L, E, C, T, R, O, C, A, R, D, I, O, G, R, A, P, H.
The vowels in the original word are: E, E, O, A, I, O, A.
The instruction states: "take the first half of the letters, reverse their order and make the arrangement of letters look quite different from the original."
Word after Step 1: ACORTCELE + RDIOGRAPH = ACORTCELERDIOGRAPH.
The instruction is: "identify the last but one letter of the original word and place it at the very beginning".
Word after Step 2: P + ACORTCELERDIOGRAPH = PACORTCELERDIOGRAPH.
The final instruction is: "add the letter ‘S’ at the end".
Final Transformed Word: PACORTCELERDIOGRAPH S.
Now, let's examine the final transformed word: PACORTCELERDIOGRAPH S.
The vowels in this word are at the following positions (starting from 1):
Let's check which vowels are next to each other:
The question asks which *of the two vowels* will be adjoining each other, and presents options including AO. Based on the transformations, the vowels 'A' and 'O' become adjoining each other.
Which letter is prefixed to the word after the first half is reversed?
Identifying the Most Likely Suspect
Based only on the fact that the five-digit code was used to open the display case, who is the only plausible suspect among the three?
Evaluating Alibis and Time Constraints
The theft occurred between 10:00 PM and 1:00 AM, but the night guard saw the medallion at 10:30 PM. Given Chitra's alibi, what is the earliest time she could have reached the museum?
Identifying the Logical Flaw in the Argument :
A detective argues: "Since Bharat has a confirmed, continuous alibi covering the entire time window of the theft (10:30 PM to 1:00 AM), he cannot be the thief." What principle of logic supports this detective's conclusion?
Drawing a Strongest Conclusion
Considering all the facts (the code being used, the silver button, and the confirmed alibis), which is the most reasonable inference?
Which letter is prefixed to the word after the first half is reversed?