Multiple Choice Questions on If quot O quot and quot U quot irrespective of upper or lower case occur exactly 5040 times then how........... for CAPF (AC) Exam Preparation

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Multiple Choice Questions

If quot O quot and quot U quot irrespective of upper or lower case occur exactly 5040 times then how...........

Quantitative Aptitude( Paper-I ) Permutation & Combination
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    Directions : The next three items are based on a  survey on occurrence of vowels in a certain book irrespectiv e of whether they are in upper or  lower case.

    Vowel                A     E       I     O     U
    Percentage       20    45   15    8    12

    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 ?

    This questions was previously asked in
    CAPF 2023 Paper-1
    View All CAPF Previous Year Papers

    11840

    Incorrect Answer

    11600

    Incorrect Answer

    11430

    Incorrect Answer

    11340

    Correct Answer
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    Explanation:

    - The survey provides percentages of vowels in a book: A (20%), E (45%), I (15%), O (8%), U (12%).

    - The sum percentage for vowels "O" and "U" is 8% + 12% = 20%.

    - Given that "O" and "U" appear 5040 times, that represents 20% of the total vowel count.

    - To find the total number of vowels: $$(\text{Total O and U}) / (\text{Percentage of O and U}) = 5040 / 0.2 = 25200$$ vowels in total.

    - To find the number of "E" occurrences: $$(\text{Percentage of E}) \times (\text{Total vowels}) = 0.45 \times 25200 = 11340.$$

    - Therefore, the letter "E" occurs 11340 times.

    The correct answer is option 4.

    .

    By: Parvesh Mehta
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