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

Show Answer

Correct Answer :

Option B

Only II follows

Only II follows

Solution :

The correct answer is Only II follows.

To determine which conclusions logically follow, let us analyze the given statements step-by-step:

Step 1: Analyze the Statements
1. "No cow are money": The set of cows and the set of money have no elements in common (they are disjoint sets).
2. "Only a few cow are plate": This statement contains two pieces of information:
    a. Some cows are plates.
    b. Some cows are not plates.
3. "All money are singer": The entire set of money is subset of the set of singers.

Step 2: Evaluate Conclusion I ("No plate is money")
We know that no cow is money, and some plates are cows. Therefore, the portion of plates that overlaps with cows cannot be money.
However, there is no restriction preventing the remaining part of plates (which are not cows) from overlapping with money. Since a relationship of "Some plates are money" is possible, we cannot say with certainty that "No plate is money".
Thus, Conclusion I does not definitely follow.

Step 3: Evaluate Conclusion II ("All plate being singer is a possibility")
Let us check if we can draw a Venn diagram where all plates are inside the singer circle without violating any statement:
- All plates (including the part that overlaps with cows) can be placed inside the "singer" circle.
- To satisfy "No cow are money", we keep the cow circle completely separate from the money circle.
- Since "All money are singer", the money circle is inside the singer circle. We can place the plate circle inside the singer circle in such a way that it overlaps with cows but stays completely separate from the money circle.
Since this scenario does not violate any of the statements, the possibility is true.
Thus, Conclusion II follows.

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