Question Details

Directions (72 -74): In each question below, some statements are given followed by some conclusions. You have to assume everything in the statements to be true even if they seem to be at variance with commonly known facts. Now, decide which of the two given conclusions logically follow from the statements, disregarding commonly known facts.

Statements:
No cow are money.
Only a few cow are plate.
All money are singer.
Conclusions:
I. No plate is money.
II. All plate being singer is a possibility.

Options

A

Only I follows

B

Only II follows

C

Either I or II follows

D

Both I and II follow

E

None follows

Show Answer

Correct Answer :

Option B

Only II follows

Only II follows

Solution :

To determine which of the conclusions logically follow from the given statements, we can analyze the relationships using a step-by-step logical approach or Venn diagrams.

Step 1: Analyze the Statements
1. "No cow are money." This means the set of Cows and the set of Money have absolutely no overlap. They are completely disjoint sets.
2. "Only a few cow are plate." This is a key syllogism term. It implies two things: "Some cows are plates" (intersection is non-empty) AND "Some cows are not plates" (there is a part of the Cow set that is strictly outside the Plate set).
3. "All money are singer." This means the entire set of Money is contained within the larger set of Singers.

Step 2: Evaluate Conclusion I ("No plate is money.")
Let's check if this is definitely true. We know that no Cow is Money. We also know that some Cows are Plates. However, there is no statement restricting the relationship between the remaining part of the Plate set and the Money set. It is possible for some Plates to be Money without violating any of the given statements (as long as those Plates are not also Cows). Since "No plate is money" is not true in all possible scenarios, Conclusion I does not logically follow.

Step 3: Evaluate Conclusion II ("All plate being singer is a possibility.")
Let's test if we can construct a valid scenario where all Plates are Singers:
- Let all Plates be inside the Singer set.
- Some Plates are Cows (satisfying "Only a few cow are plate").
- Since all Money is inside the Singer set, the Money set can still be completely separate from the Cow set (satisfying "No cow are money").
- Since this scenario does not violate any of the given premises, it is indeed a possibility. Therefore, Conclusion II logically follows.

Conclusion:
Only conclusion II logically follows from the given statements.

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