A student in a town in India, where the price per unit ( $1$ unit $=1 \,kWh$ ) of electricity is $₹ 5.00$, purchases a $1 \,kVA$ $UPS$ (uninterrupted power supply) battery. A day before the exam, $10$ friends arrive to the student's home with their laptops and all connect their laptops to the $UPS$. Assume that each laptop has a constant power requirement of $90 \,W$. Consider the following statements.

$I.$ All the $10$ laptops can be powered by the $UPS$, if connected directly.

$II.$ All the $10$ laptops can be powered, if connected using an extension box with a $3 \,A$ fuse.

$III.$ If all the $10$ friends use the laptop for $5 \,h$, then the cost of the consumed electricity is about $₹ 22.50.$

Select the correct option with the true statements.

  • [KVPY 2019]
  • A

    $I$ only

  • B

    $I$ and $II$ only

  • C

    $I$ and $III$ only

  • D

    $II$ and $III$ only

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