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
$$x = {b \pm \sqrt{b^24ac} \over 2a}.$$
Sample output  
Sample output  
Sample output  
Sample output 
Question 2 
\begin{aligned}
\frac{4}{6} + \frac{4}{6} =
\end{aligned}
\begin{aligned}
\dot{x} & = \sigma(yx) \\
\dot{y} & = \rho x – y – xz \\
\dot{z} & = \beta z + xy
\end{aligned}
Sample output  
Sample output  
Sample output  
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?
180 metres  
150 metres  
240 metres  
120 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?
150 metres  
324 metres  
120 metres  
180 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:
50 km/hr  
55 km/hr  
54 km/hr  
45 km/hr 
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