8th Class Mathematics Direct and Inverse Proportions Question Bank Direct and Inverse Proportions

  • question_answer Which of the following tables shows the inverse proportion?
    (i) x 6 12 30 48
    y 250 125 50 31.25
    (ii) x 115 130 145 160
    y 615 600 585 570
    (iii) x 50 100 300 1200
    y 300 150 100 75

    A)  Only (i)                      

    B)  Both (i) and (ii)          

    C)  Both (ii) and (iii)        

    D)  None of these

    Correct Answer: A

    Solution :

              (i) For inverse proportion, xy= constant Now, \[6\times 250=1500\], \[12\times 125=1500,30\times 50=1500\] And \[48\times 31.25=1500\] \[\therefore \] The data is in inverse proportion. (ii) \[115\times 615=70725,\] \[130\times 600=78000\] \[\therefore \] The data is not in inverse proportion. (iii) \[50\times 300=15000\], \[100\times 150=15000\], And \[300\times 100=30000\] \[\therefore \] The data is not in inverse proportion.

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