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General Aptitude
Analytical Aptitude
GATE 2016
Medium

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?

  • AWhen Shiva plays chess with Leela and Pavithra, he often loses.
  • BLeela is the oldest of the three.
  • CShiva is a better chess player than Pavithra.
  • Pavithra is the youngest of the three.

Explanation

From the given facts, the age order is Shiva > Leela > Pavithra (Shiva older than Leela, Leela older than Pavithra). This directly establishes Pavithra as the youngest of the three — the only statement that MUST be true. The other options make claims about chess skill or age that aren't established by the given facts.

Source: GATE ME 2016 Set-1 (2016)

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