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CAT 2024 Set-2 | Quantitative Aptitude | Question: 5

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Three circles of equal radii touch (but not cross) each other externally. Two other circles, $X$ and $Y$, are drawn such that both touch (but not cross) each of the three previous circles. If the radius of $X$ is more than that of $Y$, the ratio of the radii of $X$ and $Y$ is

  1. $4+2 \sqrt{3}: 1$
  2. $4+\sqrt{3}: 1$
  3. $2+\sqrt{3}: 1$
  4. $7+4 \sqrt{3}: 1$

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