P looks at Q while Q looks at R. P is married, R is not. The number of pairs of people in which a married person is looking at an unmarried person is
Options:
(A) 0
(B) 1
(C) 2
(D) Cannot be determined
Official Answer Key:
B
Step-by-Step Solution & Explanation
• Q’s marital status is unknown; consider both cases.
• Case Q is married: P(married)→Q(married) does not count; Q(married)→R(unmarried) counts. Total = 1.
• Case Q is unmarried: P(married)→Q(unmarried) counts; Q(unmarried)→R(unmarried) does not count. Total = 1.
• In either case exactly one qualifying pair exists, so the answer is determined uniquely as 1, regardless of Q’s actual status.
• Final Answer: (B) 1
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