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8th Class Mathematics Playing with Numbers Question Bank Playing with Numbers

  • question_answer
    Find the value of P, Q, R and S respectively. \[\begin{align}   & P\,\,Q\,\,R\,\,S \\  & \underset{\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_}{\mathop{\underset{S\,\,R\,\,Q\,\,P}{\mathop{\underset{\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_}{\mathop{\,\,\,\,\,\,\,\,\,\,\times 9}}\,}}\,}}\, \\ \end{align}\]

    A)   \[1,0,8,9\]                        

    B)  \[8,1,0,9\]         

    C)         \[1,0,9,8\]         

    D)         \[1,9,0,8\]                         

    Correct Answer: A

    Solution :

    Consider \[P=1\]and \[S=9\]. Then \[\underset{\_\_\_\_\_\_\_\_\_\_\_}{\mathop{\underset{9\,\,R\,\,Q\,\,1}{\mathop{\underset{\_\_\_\_\_\_\_\_\_\_\_}{\mathop{\begin{align}   & 1\,\,Q\,\,R\,\,9 \\  & \times \,\,9 \\ \end{align}}}\,}}\,}}\,\] \[Q=0\] (else there will be regrouping in the thousands place) and \[R=8\]. So, \[\underset{\_\_\_\_\_\_\_\_\_\_\_}{\mathop{\underset{9\,\,R\,\,Q\,\,1}{\mathop{\underset{\_\_\_\_\_\_\_\_\_\_\_}{\mathop{\begin{align}   & 1\,\,Q\,\,R\,\,9 \\  & \times \,\,9 \\ \end{align}}}\,}}\,}}\,\] is correct.


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