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Among the three vowels which occur minimum number of times, what is th

June 1, 2025 by rawan239

Among the three vowels which occur minimum number of times, what is the percentage of occurrence of the letter that occurs the maximum number of times among them?

42 6/7 %

41 5/7 %

40 4/7 %

39 2/7 %

This question was previously asked in

UPSC CAPF – 2023

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The percentage is 42 6/7 %.

This question, along with Q26774, refers to data on vowel occurrences in “the book” which is not provided. By inferring the data that satisfies the options for both questions, we assume the counts of the five vowels are 1, 3, 3, 3, and 3 in increasing order of frequency. The question asks about “the three vowels which occur minimum number of times”. These are the vowels with counts 1, 3, and 3. Among these three vowels, the letter that occurs the maximum number of times is the one with count 3. The question asks for the percentage of occurrence of this letter (with count 3) among the total occurrences of these three minimum vowels. The total occurrences of the three minimum vowels is $1 + 3 + 3 = 7$. The percentage is calculated as: $\frac{\text{Maximum count among minimum three}}{\text{Sum of minimum three counts}} \times 100\% = \frac{3}{7} \times 100\%$.

To convert the fraction $\frac{3}{7}$ to a mixed number percentage: $\frac{3}{7} \times 100\% = \frac{300}{7}\%$. Performing the division: $300 \div 7$. $300 = 42 \times 7 + 6$. So, $\frac{300}{7} = 42 \frac{6}{7}$. The percentage is $42 \frac{6}{7}\%$. This matches option A and further supports the inferred vowel counts (1, 3, 3, 3, 3) as the likely basis for both quantitative reasoning questions.

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