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CAT 2023 Set-2 | Quantitative Aptitude | Question: 12

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The price of a precious stone is directly proportional to the square of its weight. Sita has a precious stone weighing $18$ units. If she breaks it into four pieces with each piece having distinct integer weight, then the difference between the highest and lowest possible values of the total price of the four pieces will be $288000$. Then, the price of the original precious stone is

  1. $1620000$
  2. $1296000$
  3. $1944000$
  4. $972000$

     

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