# Table of Content

## Arithmetic aptitude : Problems on train (questions)

Congratulations - you have completed Arithmetic Aptitude : Problems on Train. You scored %%SCORE%% out of %%TOTAL%%. Your performance has been rated as %%RATING%%
 Question 1
When $a \ne 0$, there are two solutions to $$ax^2 + bx + c = 0$$ and they are $$x = {-b \pm \sqrt{b^2-4ac} \over 2a}.$$
 A Sample output B Sample output C Sample output D 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}
 A Sample output B Sample output C Sample output D 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?
 A 240 metres B 180 metres C 120 metres D 150 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?
 A 120 metres B 180 metres C 150 metres D 324 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:
 A 55 km/hr B 54 km/hr C 45 km/hr D 50 km/hr
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There are 5 questions to complete.