6th Class Mathematics Knowing our Numbers Question Bank Number System

  • question_answer
    In Patna, all the numbers are expressed with the help of three alphabets x, y, and z.
    15 is written as xyz.
    6 is written as yz.
    60 is written as yzyz.
    How to many ways does write 17 in Patna?

    A)  xyy

    B)  yxy           

    C)  yxx                 

    D)  xyx

    Correct Answer: A

    Solution :

    The key is the fact that in Patna, only three symbols are used to write numbers. Therefore, \[6={{(20)}_{3}}={{(yz)}_{3}},\] \[y=2,z=0\]and \[x=1,\,\,17={{(122)}_{3}}=xyy\]


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