10th Class Mathematics Real Numbers Question Bank Case Based (MCQs) - Real Numbers

  • question_answer
                                   
    Direction: Q. 6 to 10
    A seminar is being conducted by an educational organization, where the participants will be educators of different subjects. The number of participants in Hindi, English and Mathematics are 60, 84 and 108 respectively.
    Subjectwise details is given in the paragraph, read carefully and answer the following questions:
    The sum of the powers of each prime factor of 108 is:   

    A) 2

    B) 3

    C) 4

    D) 5

    Correct Answer: D

    Solution :

    Sol.     Prime factorisation of 108
    \[=2\times 2\times 3\times 3\times 3={{2}^{2}}\times {{3}^{3}}\]
    \[\therefore \]  Required sum \[=2+3=5\]
    So, option [d] is correct.                                   


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