Question 27

# How many such pairs of letters are there in the word EXECUTION, each of which has as many letters between them in the word as they have between them in the English alphabet?

Solution

So, the question essentially asks to find out pairs of letters in the given word "EXECUTION" which have same number of letter between them as there are in english alphabet. We can start with the first letter initially and then try to check for subsequent letters. Lets take E now EX have 18 letter between them in english alphabets, here they don't have any letter so this cannot be a possible pair. Lets move on to EE which is again not possible. EC have just 2 letters between them which is not the case in actual english alphabets. Proceeding in a similar manner we can find that words fulfilling the given requirement are
XU, XT,EI,UT. Since we have figured out the 4 words already, the only feasible option is Option 5

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