Question:medium

All good athletes who want to win are disciplined and have a well balanced diet. Therefore, athletes who do not have a well balanced diet are bad athletes. Which of the statements below strongly supports the view expressed above?

Show Hint

Find the option that directly restates the diet-to-bad-athlete link as a universal rule.
Updated On: Jul 15, 2026
  • No bad athlete wants to win.
  • No athlete who does not eat a well balanced diet is a good athlete.
  • Every athlete who eats a well balanced diet is a good athlete.
  • All athletes who want to win are good athletes.
Show Solution

The Correct Option is B

Solution and Explanation

A cleaner way to see this is by working with the contrapositive form of statements, a standard tool in logical reasoning questions.

  1. The original rule is: good athlete and wants to win, leads to disciplined and balanced diet. Write this as: (Good AND Wants-to-win) implies (Disciplined AND Balanced-diet).
  2. The contrapositive of an implication A implies B is not-B implies not-A, and it always carries the same truth value as the original statement.
  3. Applying this here, the contrapositive of the rule is: NOT (Disciplined AND Balanced-diet) implies NOT (Good AND Wants-to-win). In simpler words, missing either discipline or balanced diet means the athlete is not both good and wanting to win.
  4. The passage's conclusion narrows this down to focus specifically on diet: no balanced diet leads to bad athlete. For this narrower conclusion to hold firmly, we need a statement that ties no balanced diet directly and only to not a good athlete, without needing the wants-to-win condition as a separate hurdle.
  5. Option (2) provides exactly this direct link. It removes the dependency on wanting to win and states plainly that missing a balanced diet alone rules out being a good athlete, which is precisely what backs up the passage's conclusion.
  6. The remaining options either discuss a different trait (wanting to win) or state the reverse implication (good diet leads to good athlete), so they cannot serve as the supporting link the conclusion needs.

Therefore, option (2) is the statement that strongly supports the given view. \[\boxed{\text{Option (2)}}\]

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