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General Aptitude
Analytical Aptitude
GATE 2017
Hard

P, Q, and R talk about S's car collection. P states that S has at least 3 cars. Q believes that S has less than 3 cars. R indicates that to his knowledge, S has at least one car. Only one of P, Q and R is right. The number of cars owned by S is

  • 0
  • B1
  • C3
  • DCannot be determined

Explanation

Test each candidate value of S's cars against all three claims (P: S>=3, Q: S<3, R: S>=1), counting how many are true. S=0: P false, Q true, R false -> exactly 1 true (consistent with 'only one is right'). S=1 or 2: Q true AND R true -> 2 true (violates). S>=3: P true AND R true -> 2 true (violates). Only S=0 makes exactly one statement true.

Source: GATE ME 2017 Session 1 (ME-1) (2017)

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