## Arithmetic aptitude : Problems on train (questions)

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Question 1 |

When $a \ne 0$, there are two solutions to \(ax^2 + bx + c = 0\) and they are
$$x = {-b \pm \sqrt{b^2-4ac} \over 2a}.$$

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Sample output |

Question 2 |

\begin{aligned}
\frac{4}{6} + \frac{4}{6} =
\end{aligned}
\begin{aligned}
\dot{x} & = \sigma(y-x) \\
\dot{y} & = \rho x – y – xz \\
\dot{z} & = -\beta z + xy
\end{aligned}

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Sample output |

Question 2 Explanation:

Sample output

Question 3 |

A train running at the speed of 90 km/hr crosses a vertical pole having height 10 meter in 6 seconds. What is the length of the train?

150 metres | |

240 metres | |

120 metres
| |

180 metres |

Question 3 Explanation:

\begin{aligned}
Speed = \left[90 \times \frac{5}{18}\right] m/sec \\
\end{aligned}
\begin{aligned}
Speed = \left[90 \times \frac{5}{18}\right] m/sec \\
\end{aligned}
\begin{aligned}
Speed = \left[90 \times \frac{5}{18}\right] m/sec \\
\end{aligned}
\begin{aligned}
Speed = \left[90 \times \frac{5}{18}\right] m/sec \\
\end{aligned}

Question 4 |

A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?

120 metres | |

324 metres | |

180 metres | |

150 metres |

Question 5 |

A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:

54 km/hr | |

55 km/hr | |

45 km/hr | |

50 km/hr |

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There are 5 questions to complete.