Below is the lewis structure of the chloroform molecule. count the number of bonding pairs and the number of lone pairs around the carbon atom.

            The carbon atom in Chloroform has FOUR bonding pair electrons and ZERO lone pair of electrons.

Explanation:
                   The carbon atom in Chloroform is bonded to three chlorine atoms and one hydrogen atoms through a single bonds. And the carbon is sp³ hybridized. As we know the electronic configuration of carbons is,

                          Ground State  =  1s², 2s², 2p²

                          Excited State  =  1s², 2s¹, 2px¹,2py¹, 2pz¹

As there are four unpaired electrons in excited state which are all involved in bonding with chlorine atoms and hydrogen atom, therefore, no lone pair of electrons are left.

For cyclohexane compounds drawn in a chair conformation:   -axial bonds are vertical  -equatorial bonds are parallel to two bonds within the ring.  thus, as i assume the chair conformation is drawn:   -the x group is in an axial position, as are the five other vertical bonds.  -three axial bonds are on the top face of the ring  -the other three axial bonds are on the bottom face  the position of the second substituent on each ring carbon is equatorial.  gauche groups must be on an adjacent carbon such as carbon 6 and carbon 2, and also gauche groups are rotated by 60 degrees relative to each other.  drawing the newman projections for c1–c2 and c1–c6 aids in visualizing the groups that are gauche to the y group on c1.  click this link and watch some academic videos that may you more understand the topic