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ExamsGATEGeneral Aptitude

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.

Correct answer: When Shiva plays chess with Leela and Pavithra, he often loses.

Solution

From the age statements, Shiva is older than Leela, and Leela is older than Pavithra, so the age order is Shiva > Leela > Pavithra. The chess clue says Pavithra wins more often than Leela, but the only option that must be true from the given set is the one consistent with Shiva not necessarily being the best player; however, the provided answer choice indicates Shiva often loses when playing with them.

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