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CAT 2023 Set-3 | Quantitative Aptitude | Question: 3

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For some real numbers $a$ and $b$, the system of equations $x+y=4$ and $(a+5) x+\left(b^{2}-15\right) y=8 b$ has infinitely many solutions for $x$ and $y$. Then, the maximum possible value of $a b$ is

  1. $15$
  2. $55$
  3. $33$
  4. $25$

     

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