Consider a set U of 23 different compounds in a Chemistry lab. There is a…

GATE · 2016 · CS · Set 2 · Computer Science & IT

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:

I. 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?

  1. A.

    Only I

  2. B.

    Only II

  3. C.

    Only III

  4. D.

    None

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