  Local quantum uncertainty (in short LQU) was introduced by Girolami et.
al.(Phy. Rev. Lett. \textbf{110}, 240402) as a measure of quantum uncertainty
in a quantum state as achievable on single local measurement. However, such
quantity do satisfy all necessary criteria to serve as measure of discord like
quantum correlation and it has no closed formula except only for $2\otimes n$
system. Here, we consider orthogonal invariant class of states which includes
both the Werner and Isotropic class of states and explore the possibility of
closed form formula. Further, we extend our quest to the possibility of closed
form of geometric discord and measurement induced nonlocality for this class.
We also provide a comparative study of the bounds of general quantum
correlations with entanglement, as measured by negativity, for an interesting
subclass of states.
