NIMCET 2015 — Reasoning PYQ
NIMCET | Reasoning | 2015Read 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:
- A.
Only conclusion I follows
- B.
Only conclusion II follows
- C.
Either I or II follows
- D.
Neither I nor II follows
(Correct Answer)
Neither I nor II follows
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
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