Question Details

Directions (86-89): In each of the questions below some statements are given followed by two conclusions. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.


Statements:

Only a few rice is wheat
All wheat is grain
No grain is flour
Conclusions:

I. Some rice is not flour
II. All wheat can be flour

Options

A

If only conclusion I follow

B

If only conclusion II follow

C

If either conclusion I or II follow

D

If neither conclusion I nor II follow

Show Answer

Correct Answer :

Option A

If only conclusion I follow

If only conclusion I follow

Solution :

Correct Answer: If only conclusion I follow

Let us analyze the given statements step-by-step using standard Venn diagram logic:
Statements:
1. "Only a few rice is wheat": This means some rice is wheat, and some rice is definitely not wheat (i.e., rice and wheat overlap, but rice cannot be entirely contained within wheat).
2. "All wheat is grain": This means the entire circle of wheat is inside the circle of grain.
3. "No grain is flour": This means there is no overlap or intersection between the grain circle and the flour circle. Thus, the grain and flour circles are completely disjoint.

Now, let us evaluate each conclusion based on these statements:

Conclusion I: Some rice is not flour
From Statement 1, we know that "some rice is wheat".
From Statement 2, "all wheat is grain". Therefore, the portion of rice that is wheat is also part of the grain category.
From Statement 3, "no grain is flour". Since the portion of rice that is wheat is inside grain, that portion of rice cannot be flour.
Thus, there is definitely a part of rice (specifically, the part that is wheat/grain) that can never be flour. Therefore, "some rice is not flour" is a definite truth.
Hence, Conclusion I follows.

Conclusion II: All wheat can be flour
From Statement 2, "all wheat is grain".
From Statement 3, "no grain is flour". Since all wheat is grain, and no grain is flour, it is impossible for any wheat to be flour.
Therefore, all wheat can never be flour. The possibility "all wheat can be flour" is false.
Hence, Conclusion II does not follow.

Conclusion:
Only conclusion I follows. Therefore, the correct option is "If only conclusion I follow".

Unlock Our Free Library

Access expert-curated educational resources and study materials—completely free.

Ask AI Tutor
5 left
Q1 View Question & Options
AI Tutor is solving this question...
Reading question context & options...