10th Class Mathematics Quadratic Equations Question Bank Quadratic Equations

  • question_answer In a bangle shop, if the shopkeeper displays; the bangles in the form of a square then he is left with 38 bangles. If he wanted to increase the size of square by one unit each side of the square he found that 25 bangles fall short of in completing the square. The actual number of bangles which he had with him in the shop was _____.     

    A)  1690         

    B)                     999         

    C)                     538                           

    D)                     Can't be determined              

    Correct Answer: B

    Solution :

    Let the number of bangles in a side of square = x According to the question, \[{{x}^{2}}+38\text{ }=\]Total no. of bangles            ...(1) Also, \[{{(x+1)}^{2}}-25=\] Total no. of bangles ....(2) From (1) and (2), we have \[{{x}^{2}}+38={{(x+1)}^{2}}-25\] \[\Rightarrow \]            \[38+24=2x\] \[\Rightarrow \] \[x=31\] \[\therefore \] Total no. of bangles \[={{(31)}^{2}}+38=999\]

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