GATE CSE 2016 SET 2

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MCQ (Single Correct Answer)
GATE CSE 2016 Set 2
Consider a set U of 23 different compounds in a Chemistry lab. There is a subset S of U of 9 compounds, each of which reacts with exactly 3 compounds of U. Consider the following statements:
Each compound in U \ S reacts with an odd number of compounds.
II. At least one compound in U \ S reacts with an odd number of compounds. III. Each compound in U \ S reacts with an even number of compounds.
Which one of the above statements is ALWAYS TRUE?
(A) Only I(B) Only II(C) Only III(D) None