If “O” and “U”, irrespective of upper or lower case, occur exactly 5040 times, then how many times does the letter “E” occur in the book in the upper or the lower case?
[amp_mcq option1=”11840″ option2=”11600″ option3=”11430″ option4=”11340″ correct=”option4″]
This question was previously asked in
UPSC CAPF – 2023
The correct answer is 11340. This question is known to be from a passage in the original paper that provided a rule for letter frequencies. Without the passage, the rule is not explicitly given. However, based on common interpretations and the correct answer from official sources for this specific question, the frequency of the vowel ‘E’ is approximately 9/4 times the frequency of ‘O’ or ‘U’.
Given that the letter “O” occurs exactly 5040 times and the letter “U” occurs exactly 5040 times, and assuming a relationship where N(E) / N(O) = 9/4 (or N(E) / N(U) = 9/4, which implies N(O)=N(U) as given), we can calculate the frequency of E.
N(E) = N(O) * (9/4)
N(E) = 5040 * (9/4)
N(E) = (5040 / 4) * 9
N(E) = 1260 * 9
N(E) = 11340.