Project ForgeGeneral Aptitude
Analytical Aptitude
GATE 2017
Hard
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
- A0
- 1
- C2
- DCannot be determined
Explanation
Q's marital status is unknown, so consider both cases. If Q is married: (P,Q) is married-looking-at-married (doesn't count), but (Q,R) is married-looking-at-unmarried (counts) — total 1. If Q is unmarried: (P,Q) is married-looking-at-unmarried (counts), but (Q,R) is unmarried-looking-at-unmarried (doesn't count) — total 1. Either way, exactly 1 qualifying pair exists, regardless of Q's actual status.
Source: GATE ME 2017 Session 2 (ME-2) (2017)
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