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CAT 2008 | Question: 24

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Rahim plans to Drive from city $\text{A}$ to station $\text{C}$, at the speed of $70$ km per hour, to catch a train arriving there from $\text{B}$. He must reach $\text{C}$ at least $15$ minutes before the arrival of the train. The train leaves $\text{B}$, located $500$ km south of $\text{A}$, at $8:00$ am and travels at a speed of $50$ km per hour. It is known that $\text{C}$ is located between west and northwest of $\text{B}$, with $\text{BC}$ at $60^{\circ}$ to $\text{AB}.$ The latest time by which Rahim must leave $\text{A}$ and still catch the train is closet to

  1. $6:15$ am
  2. $6:30$ am
  3. $6:45$ am
  4. $7:00$ am
  5. $7:15$ am
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CAT 2008 | Question: 11
Let $f(x) = ax^2 + bx +c$, where $a, b$ and $c$ are certain constants and $a \neq 0$. It is known that $f(5) = -3 f(2)$ and that $3$ is a root of $f(x)=0$. What is the value of $a+b+c?$ $9$ $14$ $13$ $37$ cannot be determined
Let $f(x) = ax^2 + bx +c$, where $a, b$ and $c$ are certain constants and $a \neq 0$. It is known that $f(5) = -3 f(2)$ and that $3$ is a root of $f(x)=0$.What is the val...
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