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10th Class Mathematics Real Numbers Question Bank MCQs - Real Numbers

  • question_answer
               In a school, there are two sections-section A and sections of class X. There are 32 students in section A and 36 students in section B. Determine the minimum number of books required for their class library so that they can be distributed equally among students of section A or

    A) 288

    B) 388

    C) 208

    D) None of these

    Correct Answer: A

    Solution :

    Sol.      [a] Since the books are to be ditributed equally among the students of section A or section 8. Therefore, number of books must be a multiple of 32 as well as 36.
    Hence, required number of books is the LCM of 32 and 36.
    We have,   \[32={{2}^{5}}\] and \[36={{2}^{2}}\times {{3}^{2}}\]
    \[\therefore \] LCM of 32 and 36 is \[{{2}^{5}}\times {{3}^{2}}=288.\].
    Hence, required number of books is 288.


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