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

  • question_answer
    There are 24 peaches, 36 apricots and 60 bananas and they have to arranged in several rows in such a way that every rows contains the same member of fruits of only one type. What is the minimum number of rows required for this to happen?

    A) 12

    B) 9

    C) 10

    D) 14

    Correct Answer: C

    Solution :

    Let x be number of fruits in one row such that each fruit contains same number of fruits. i.e. x = HCF of (24, 36, 60)
    The factors of 24, 36 and 36 are
                            \[24\text{ }=2\times 2\times 2\times 3\]
                            \[36\text{ }=2\times 2\times 3\times 3\]
                            \[60=2\times 2\times 3\times 5\]
                            \[x=2\times 2\times 3=12\]
     So, peaches have \[12\times 2=2\] rows, apricots have \[12\times 3=3\]rows and bananas have \[12\times 5=60,\] 5 rows. Minimum number of rows =2 + 3 + 5 = 10
     


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