GATE EC 2016 Set 1 — Question 8
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Question
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?
Which one of the following statements must be TRUE based on the above?
Correct answer
(D) Pavithra is the youngest of the three.
Solution
Let's analyze the given statements:
(A) "When Shiva plays chess with Leela and Pavithra, he often loses." We have no information about Shiva's chess playing ability, so this statement cannot be confirmed as true.
(B) "Leela is the oldest of the three." This is false, as Shiva is older than Leela.
(C) "Shiva is a better chess player than Pavithra." We have no information about Shiva's chess playing ability relative to Pavithra, so this statement cannot be confirmed as true.
(D) "Pavithra is the youngest of the three." Based on the age order Shiva > Leela > Pavithra, Pavithra is indeed the youngest. This statement must be TRUE.The final answer is
1."Leela is older than her cousin Pavithra." This means: Leela > Pavithra (in age).
2."Pavithra's brother Shiva is older than Leela." This means: Shiva > Leela (in age).
Combining these two, we get the age order: Shiva > Leela > Pavithra.3."Pavithra wins more often than Leela does." This gives information about their chess skills, but not about Shiva's chess skill.
Now let's evaluate the options:(A) "When Shiva plays chess with Leela and Pavithra, he often loses." We have no information about Shiva's chess playing ability, so this statement cannot be confirmed as true.
(B) "Leela is the oldest of the three." This is false, as Shiva is older than Leela.
(C) "Shiva is a better chess player than Pavithra." We have no information about Shiva's chess playing ability relative to Pavithra, so this statement cannot be confirmed as true.
(D) "Pavithra is the youngest of the three." Based on the age order Shiva > Leela > Pavithra, Pavithra is indeed the youngest. This statement must be TRUE.The final answer is
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