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CAT 2023 Set-1 | Quantitative Aptitude | Question: 13

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Brishti went on an $8$-hour trip in a car. Before the trip, the car had travelled a total of $x \mathrm{~km}$ till then, where $x$ is a whole number and is palindromic, i.e., $x$ remains unchanged when its digits are reversed. At the end of the trip, the car had travelled a total of $26862 \mathrm{~km}$ till then, this number again being palindromic. If Brishti never drove at more than $110 \mathrm{~km} / \mathrm{h}$, then the greatest possible average speed at which she drove during the trip, in $\mathrm{km} / \mathrm{h}$, was

  1. $90$
  2. $100$
  3. $80$
  4. $110$

     

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