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
$$x = {-b \pm \sqrt{b^2-4ac} \over 2a}.$$
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(y-x) \\
\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?
240 metres | |
120 metres
| |
150 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 | |
45 km/hr | |
50 km/hr | |
55 km/hr |
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There are 5 questions to complete.