GATE 2017 ME (ME1) – Question 5

General Aptitude · Analytical Aptitude: Logical Reasoning, Deduction and Analogy · 1 mark · Multiple choice

P, Q and R discuss S’s car collection. P says S has at least 3 cars, Q says S has fewer than 3, and R says S has at least one. Exactly one of P, Q and R is right. How many cars does S own?

0
1
3
Cannot be determined

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Show answer and explanation

Correct answer: (A) 0

Explanation

P and Q are complementary: for any nonnegative integer car count exactly one is true. To keep the total number of true statements at one, R must be false. “At least one car” is false only when the car count is zero. Then Q is the single true statement. Select A.

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