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Each of the six friends P, Q, R, S, T and U has different weight. R is heavier than T but lighters than U. Q is lighter than P only. T is not the lightest. T weighs 50kg. The one who is third heaviest is 63kg Whose weight possibly be 49kg

Question

Each of the six friends P, Q, R, S, T and U has different weight. R is heavier than T but lighters than U. Q is lighter than P only. T is not the lightest. T weighs 50kg. The one who is third heaviest is 63kg Whose weight possibly be 49kg

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Solution

Based on the given information, let's analyze the weight of each friend step by step:

  1. R is heavier than T but lighter than U.

    • This means that R > T and R < U.
  2. Q is lighter than P only.

    • This implies that Q < P.
  3. T weighs 50kg.

    • This is a given fact.
  4. The one who is third heaviest weighs 63kg.

    • Let's call this person X.
  5. Whose weight could possibly be 49kg?

    • We need to find a friend whose weight could be 49kg based on the given information.

Now, let's consider the possibilities:

  • Since T weighs 50kg and is not the lightest, it means that T is not X (the third heaviest). Therefore, T cannot weigh 49kg.

  • R is heavier than T but lighter than U. Since T weighs 50kg, it means that R > 50kg. Therefore, R cannot weigh 49kg.

  • Q is lighter than P only. Since Q < P, it means that Q cannot weigh 49kg because P would have to weigh more than 49kg.

  • U's weight is not mentioned in relation to 49kg, so we cannot determine if U weighs 49kg or not.

  • Based on the given information, the only friend left is S. Since S's weight is not mentioned in relation to 49kg, it is possible that S weighs 49kg.

Therefore, the weight that could possibly be 49kg is S.

This problem has been solved

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