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Beyond Horizon Set 1 Paper 2 · Q4

Paper 2Logic & proof

Consider the relation “a person xx shakes hand with a person yy.” If xx shakes hand with yy, then yy shakes hand with xx. In a gathering of 9999 persons, one of the following statements is always true, considering 00 to be an even number. Which one is it?

AThere is at least one person who shakes hand exactly with an odd number of persons.
BThere is at least one person who shakes hand exactly with an even number of persons.
CThere are even numbers of persons who shake hands exactly with an even number of persons.
DNone of the foregoing statements.

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