Spin Quantum Number — Prelims Questions

Which of the following sets of quantum numbers (n, l, $m_l$, $m_s$) is NOT allowed for an electron in an atom?

An atom has 5 electrons in its 3d subshell. According to Hund's rule and the Pauli Exclusion Principle, what are the possible spin quantum numbers ($m_s$) for these 5 electrons?

Which of the following statements about the spin quantum number ($m_s$) is INCORRECT?

An atom has an electron configuration ending in $3p^4$. How many unpaired electrons does this atom have, and what are their spin quantum numbers (assuming conventional filling)?

Which of the following atoms or ions would be paramagnetic?

According to the Pauli Exclusion Principle, if two electrons occupy the same orbital, what must be true about their spin quantum numbers?