NIMCET 2015 — Reasoning PYQ

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Question

NIMCET 2015 — Reasoning PYQ

NIMCET | Reasoning | 2015

Read the conclusion and then decide which of the given conclusions logically follows from the two given statements (i)and (ii)disregarding commonly known facts.
Statements:
(i) No women teacher can play.
(ii) Some women teachers are athletes.
Conclusions:
(i)Male athletes can play.
(ii) Some athletes can play.

Choose the correct answer:

Explanation

Analysis of Statements:

Statement (i): "No women teacher can play."
- This means the set of "Women Teachers" and the set of "People who can play" are entirely separate (disjoint). There is no overlap.
Statement (ii): "Some women teachers are athletes."
- This means there is an intersection between the set of "Women Teachers" and "Athletes." This specific overlapping area represents "Women Teacher Athletes."

Evaluating Conclusions:

Conclusion (i): "Male athletes can play."
- The statements do not provide any information regarding "Male athletes." In Syllogism, we cannot assume information outside the given statements. Therefore, this does not follow.
Conclusion (ii): "Some athletes can play."
- From Statement (ii), we know some athletes are women teachers. From Statement (i), we know no women teachers can play. Therefore, those specific "Athlete Women Teachers" definitely cannot play.
- While there might be other athletes who can play, the statements do not guarantee it. A conclusion must be 100% certain based on the premises. Therefore, this does not follow.

Conclusion:

Since neither of the conclusions can be proven definitely true by the given statements, both fail.

Correct Option: (d) Neither I nor II follows