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Allan_Fernandes

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If a Wifi Router has one PC connected via cable and a mobile thru WiFi are they on the same Network ?

If a Wifi Router has one PC connected via cable and a mobile thru WiFi are they on the same Network ?
will they ping ?   Will we have to use Wifi for PC as well ?

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It's possible.  If there is a WiFi setting to keep the clients separated that is enabled, then no.  
If the router provides a separate VLAN/subnet for the wireless clients then probably not.
Putting the PC on the WiFi won't help with this in general.

What are the IP addresses of those devices?  That will tell you much of what you might need to know.
It depends. Many Wifi routers have a "Guest" Wireless LAN, along with the Standard Wireless LAN. If your wireless device connects to the Guest SSID, he only gets Access to the internet, and he has no Access to your Local devices. If he connects to the Standard SSID, then he gets access to your LAN as well.
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In general consider them on the same network and therefore it will ping. Unless they are separated by VLANs , Connected to Guest, Restricted by corporate firewall etc.

Prefer to take more input on your scenario and configuration to give you more transparent advice.
If this is a regular router for your home network, then both devices should be in the same network.
This depends on your WiFi router.  The standard out of the box configuration for a home/small office WiFi router or a cable modem/WiFi router is for the LAN devices and WiFi devices to be part of the same network and fully visible to each other.  This allows capability like printing to LAN devices from WiFi devices, or streaming video to a LAN connected TV.  

If you don't want some WiFi devices to have access to your LAN, then most WiFi routers (not Cable company Routers)  allow you to enable a guest network under a different SSID (network name) that only provides access to the Internet as Rindi describes above.  

If all you have is a cable box with WiFi, and it was provided by your cable company, then you have two choices.  Contact the cable company to see if they can configure their device the way you want.   Or they should be able to explain how to keep the wireless devices you want to connect to the Internet off your local network.  Many have a public hotspot SSID that can connect devices you don't want on your LAN.  
   
Or, if you don't like the cable company solutions you can connect your own  router and configure it however you wish.  Connect a LAN only router to your cable modem,  And you have no worry about WiFi devices invading your wired network with no fuss.  

LAN Router without WiFi:    http://www.microcenter.com/product/432937/TL-R470T_Load_Balance_Broadband_Router

Or, if you need some WiFi Devices to reach wired devices connect your own WiFi router to the cable modem.  

WiFi routers are available at most retailers Bestbuy, walmart, Newegg, Microcenter, target, Costco, Sams Club etc.

In this case you may want to consider buying your own cable modem too (about $65 -$85), instead of paying $10-$20 per month to the cable company for theirs.  

Nice cable modem:  http://www.microcenter.com/product/455304/686_Mbps_Cable_Modem,_16_X_4_DOCSIS_30
For a regular home or small office router, the answer is generally yes. One of the few exceptions to this rule is if your router has a guest network and a device is connected to that.