The correct option is
B I - C, II - A, III - D, IV - E
Bond order = 12 (number of electrons in bonding MO- number of electrons in anti-bonding MO)
I. Li2: (σ1s)2(σ∗1s)2(σ2s)212(2−2+2)=1
Hence, option C
II. N2: (σ1s)2(σ∗1s)2(σ2s)2(σ2∗s)2(σ2p)2(π2p)412[(2+2+2+4)−(2+2)]=3
Hence, option A
III. Be2: (σ1s)2(σ∗1s)2(σ2s)2(σ2∗s)212[(2+2)−(2+2)]=0
Hence, option D
IV.O2: (σ1s)2(σ∗1s)2(σ2s)2(σ2∗s)2(σ2p)2(π2p)4(π∗2p)212[(2+2+2+4)−(2+2+2)]=2
Hence, option E
Hence, the answer is I-C,II-A,III-D,IV-E