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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 $$x = {-b \pm \sqrt{b^2-4ac} \over 2a}.$$
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
180 metres
B
240 metres
C
150 metres
D
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?
A
120 metres
B
150 metres
C
324 metres
D
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:
A
50 km/hr
B
45 km/hr
C
55 km/hr
D
54 km/hr
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There are 5 questions to complete.