I have Nvidia 820M GPU installed in my windows 7 machine. In nvidia control panel it is showing it supports Direct3d API version 11. Am I able to run OpenGL applications(using GLUT,GLFW) on my machine with this configuration? see the below screenshot for configuration details.
Yes, you can easily do it. Modern video drivers (almost) always come with OpenGL support.
DirectX 11 requires same hardware as OpenGL 4, so you will probably get at least OpenGL 4.3.
Based on these statistics, and this information about equivalence of hardware requirements between different OpenGL and DirectX versions, we have approximately these numbers:
OpenGL 1 works everywhere,
OpenGL 2 works on ~99.5% PCs, (I've recently seen an old PC without OpenGL 2 support, but they are rare.)
OpenGL 3 works on ~85% PCs,
OpenGL 4 works on ~40% PCs.
You can use glviewer to see which version of OpenGL your graphics card supports and which extensions are available to use.