Question

ram's television has 2 to 39 channels.If he starts at channel 13 and surfs pushing the channel-up botton 407 times.On what channel is the television when he stops.

Answer 1

Answer on question 36152 – Math – Complex Analysis

Ram’s television has 2 to 39 channels. If he starts at channel 13 and surfs pushing the channel-up button 407 times. On what channel is the television when he stops.

Solution

Ram has 39-2+1=38 channels.

To finish the first circle we need to push the button 39-13+1=27 times (we get the channel 2).

It remains 407-27=380 pushes.

Let x is the channel when he stops. Then we get the equation

$$x = 380 - \left[ \frac{380}{38} \right] * 38 + 2 = 2$$

Where [.] is a fool function.

Answer: 2.