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GATE 2016 ME (ME1) – Question 8

General Aptitude · Analytical Aptitude: Logical Reasoning and Deduction · 2 marks · Multiple choice

Leela is older than her cousin Pavithra. Pavithra’s brother Shiva is older than Leela. When Pavithra and Shiva are visiting Leela, all three like to play chess. Pavithra wins more often than Leela does. Which one of the following statements must be TRUE based on the above?

  1. When Shiva plays chess with Leela and Pavithra, he often loses.
  2. Leela is the oldest of the three.
  3. Shiva is a better chess player than Pavithra.
  4. Pavithra is the youngest of the three.

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Correct answer: (D) Pavithra is the youngest of the three.

Explanation

Leela is older than Pavithra, and Shiva is older than Leela. Therefore Shiva>Leela>Pavithra in age, making **Pavithra the youngest, D**. The stated chess outcomes do not determine Shiva’s ability relative to either of the others.