Logical deduction – comparing newborn weights Given: Jenna weighs more than Jason. Jason weighs less than Jasmine. Question: If those two facts are true on the birth day, is the statement “Of the three babies, Jasmine weighs the most” true, false, or uncertain?

Difficulty: Easy

Correct Answer: Uncertain

Explanation:


Introduction / Context:
This problem evaluates whether you can infer a maximum from pairwise comparisons. Knowing A > B and C > B does not automatically tell you whether A or C is the greatest unless you also know A vs. C.



Given Data / Assumptions:

  • Jenna > Jason.
  • Jason < Jasmine (so Jasmine > Jason).
  • Claim to evaluate: “Jasmine is the heaviest of the three.”
  • No direct information about Jenna vs. Jasmine.


Concept / Approach:
To assert the absolute heaviest, you must compare all contenders. Here we only know both Jenna and Jasmine are heavier than Jason. The order between Jenna and Jasmine is unknown, so the identity of the heaviest is indeterminate.


Step-by-Step Solution:
1) From Jenna > Jason and Jasmine > Jason, Jason is the lightest.2) No relation is given between Jenna and Jasmine.3) Therefore, the statement “Jasmine is the heaviest” cannot be guaranteed.


Verification / Alternative check:
Example 1: Jenna 3.4 kg, Jasmine 3.2 kg, Jason 3.0 kg ⇒ Jasmine is not the heaviest. Example 2: Jenna 3.2 kg, Jasmine 3.4 kg, Jason 3.0 kg ⇒ Jasmine is the heaviest. Since both scenarios fit the premises, the conclusion is uncertain.


Why Other Options Are Wrong:

  • True: Not compelled by the premises.
  • False: Also not compelled; there exist cases where it is true.
  • Both true and false: In logic, we label this as “cannot be determined,” not simultaneously true and false.


Common Pitfalls:
Assuming that because two people are heavier than a third, the second named must be the heaviest overall; this ignores the missing comparison.


Final Answer:
Uncertain

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