Statement I: Number of compounds in which sulphur does not follow the octet rule (from SO2, SO3, SF4, SF6 and H2S).
SO2: The formal-charge-minimised structure O=S=O places 10 electrons around sulphur (expanded octet).
SO3: With three S=O double bonds, sulphur has 12 electrons around it (expanded octet).
SF4: 4 bond pairs +1 lone pair =10 electrons around S (expanded octet).
SF6: 6 bond pairs =12 electrons around S (expanded octet).
H2S: 2 bond pairs +2 lone pairs =8 electrons around S (obeys the octet rule).
Depending on whether formal-charge-minimised structures are used for SO2 and SO3, either 2 (SF4,SF6) or 4 (SO2,SO3,SF4,SF6) species violate the octet rule, but the number is never 3.
Hence, Statement I is false.
Statement II: Among the given sets, exactly one contains only molecules having one lone pair on the central atom.
Number of lone pairs on the central atom, LP=2valence electrons of central atom−number of bonded monovalent atoms:
H2O: 26−2=2 lone pairs
ClF3: 27−3=2 lone pairs
SF4: 26−4=1 lone pair
NH3: 25−3=1 lone pair
BrF5: 27−5=1 lone pair
XeF4: 28−4=2 lone pairs
Checking the sets:
{H2O (2), ClF3 (2), SF4 (1)}: not all have 1 lone pair.
{NH3 (1), BrF5 (1), SF4 (1)}: all have exactly 1 lone pair.
{BrF5 (1), ClF3 (2), XeF4 (2)}: not all have 1 lone pair.
{XeF4 (2), ClF3 (2), H2O (2)}: not all have 1 lone pair.
Exactly one set satisfies the condition, so Statement II is true.
Hence, Statement I is false but Statement II is true, which corresponds to option (4).