Four words are EQUATION, MATHS, WINTER, and RAIN. When counted from the left, if every fourth letter in each of the above words is changed to the previous letter in the English alphabetical order, how many words thus formed will have no letter appearing more than once?
Four
Let's analyze each word step-by-step:
- EQUATION: The fourth letter is 'U'. Changing it to the previous letter ('T') results in 'EQTATION'. This word has no repeated letters.
- MATHS: The fourth letter is 'S'. Changing it to 'R' results in 'MATHR'. This word has no repeated letters.
- WINTER: The fourth letter is 'T'. Changing it to 'S' results in 'WINSER'. This word has no repeated letters.
- RAIN: The fourth letter is 'N'. Changing it to 'M' results in 'RAIM'. This word has no repeated letters.
All four words, after the transformation, have no repeating letters. Therefore, the answer is four.
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