Though there are quite a few different types of cycles, they can majorly be divided into two main ones
1. Road bikes - For smooth roads, fast,thin tyres, no shock absorbers, and light weight
2. Mountain bikes - Robust, thick tyres, multiple suspension, heavy
Road bikes are good for touring, racing, and for smooth city roads. However, the road bikes do not come with shock absorbers and often have very thin tyres which get punctured over potholes. The take less effort to ride and are much faster than mountain bikes. These however, are delicate and should not be taken off road.
Mountain bikes on the other hand, are very robust but equally heavy. It takes more effort due to the weight and suspension losses.
Hybrids are designed to fit in between the two. Many hybrids have the gear setup of a road bike to give more speed, and have tire size which is not too thin. They sometimes have front shock absorber, but rarely have a rear shock absorber.
This gives a decent balance of speed and robustness. These can be used on off roads sometimes, but its recommended to stick to tarmac. With the Indian road conditions, hybrids make more sense.
Some examples are
1. Montra Trance Pro
2. Firefox Rapid
Some of the hybrids lean more towards a road bike and some towards a mountain bike. For regular office commute, considering the conditions of the roads in India, the Hybrids usually fit the bill right.