As per your above referred queries, As per new company Act, 2013 act is silent on this,
As per section 149(1) every company shall have a Board of Director consisting of Individual as director.
Two in case of Private Company
1. Duties of Director under the new India company act-2013
A Director of a company shall act in accordance with the Articles of Association (AoA) of the Company.
It means unless the Articles of Association of the Company not restriction above such thing Director Can do the job in MNC and with the Gov.
2. But one of them, there should be full time Director In Pvt. Ltd Company.